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To which of the following nuclei do the Purkinje cells of the cerebellum project the inhibitory axons?
[ "Inferior olivary nucleus", "Superior olivary nucleus", "Arcuate nucleus", "Fastigial nucleus" ]
D
Purkinje cells project inhibitory axons to all cerebellar nuclei: fastigial, globose, emboliform, and dentate. The ventral lateral thalamic nucleus receives input from the dentate nucleus superior cerebellar peduncle. In addition, they project to all vestibular nuclei: lateral, superior, medial, and inferior. The superior olivary nucleus is an auditory relay nucleus, and the inferior olivary nucleus is a cerebellar relay nucleus. The arcuate nucleus is an ectopic pontine nucleus that lies next to the pyramidal tract, and its function is unknown.
medmcqa
Find the number of ways of arranging the letters of the word "MATERIAL" such that all the vowels in the word are to come together?
[ "1446", "1440", "1444", "1421" ]
B
In the word, "MATERIAL" there are three vowels A, I, E. If all the vowels are together, the arrangement is MTRL'AAEI'. Consider AAEI as one unit. The arrangement is as follows. M T R L A A E I The above 5 items can be arranged in 5! ways and AAEI can be arranged among themselves in 4!/2! ways. Number of required ways of arranging the above letters = 5! * 4!/2! = (120 * 24)/2 = 1440 ways.
aqua_rat
20 balls are numbered 1 to 20. A ball is drawn and then another ball is drawn without replacement. What is the probability that both balls have even numbers?
[ "7/30", "3/14", "4/21", "9/38" ]
D
P(1st ball is even) = 10/20 P(2nd ball is also even) = 9/19 P(both balls are even) = 10/20 * 9/19 = 9/38
aqua_rat
If 120/x is an integer and 108/x is an integer, which of the following must be true? I. 9/x is an integer II. 12/x is an integer III. 36/x is an integer
[ "III only", "I, II and III", "I only", "I and II only" ]
C
I think, here we should use the greatest common factor. The greatest common factor for 144 and 108 is 36. So 36/x is an integer. For the rest of the answers, if x is 36 then 9/x and 12/x leads to fractions.
aqua_rat
How many 1's are there preceded by 2 but not followed by 7? 5 9 3 2 1 7 4 2 6 9 7 4 2 1 3 2 8 7 4 1 3 8 3 2 5 6 7 4 3 9 5 8 2 0 1 8 7 4 6 3
[ "1", "6", "5", "9" ]
A
2 1 3 Only at these places 1 is preceded by 2 but not followed by 7
aqua_rat
The simple form of the ratio 5/8:3/2 is?
[ "5:3", "5:9", "5:5", "5:8" ]
D
5/8 : 3/2 = 5:8
aqua_rat
Ribozymes are rna molecules that catalyze what?
[ "hormonal reactions", "protein molecules", "liquid reactions", "chemical reactions" ]
D
Ribozymes are RNA molecules that catalyze chemical reactions, such as translation. Ribosomes, which are just made out of rRNA (ribosomal RNA) and protein, have been classified as ribozymes , because the rRNA has enzymatic activity. The rRNA is important for the peptidyl transferase activity that bonds amino acids. Briefly, the ribosomes interact with other RNA molecules to make chains of amino acids called polypeptide chains, due to the peptide bond that forms between individual amino acids. Inside the ribosome, three sites participate in the translation process, the A, P and E sites. Translation will be discussed in detail the Protein Synthesis: Translation (Advanced) concept.
sciq
The compound interest accrued on an amount of Rs.44000 at the end of two years is Rs.1193.60. What would be the simple interest accrued on the same amount at the same rate in the same period?
[ "Rs.10560", "Rs.10568", "Rs.10508", "Rs.10528" ]
A
Let the rate of interest be R% p.a. 4400{[1 + R/100]2 - 1} = 11193.60 [1 + R/100]2 = (44000 + 11193.60)/44000 [1 + R/100]2 = 1 + 2544/1000 = 1 + 159/625 [1 + R/100]2 = 784/625 = (28/25)2 1 + R/100 = 28/25 R/100 = 3/25 Therefore R = 12 SI on Rs.44000 at 12% p.a. for two years = 44000(2)(12)/100 =Rs.10560
aqua_rat
What is the unit’s digit of 7^5
[ "7", "3", "5", "1" ]
A
7^1=7 7^2=49 7^3=343 7^4=1(last digit) 7^5=7(last digit) and the cycle repeats after every 4 powers Therefore, last digit of 7^5=7
aqua_rat
Radiaton can make something
[ "cooler", "warmer", "heavier", "harder" ]
B
Radiation transfers energy in the form of electromagnetic waves, which can increase the kinetic energy of particles in an object, leading to a rise in temperature and making it warmer.
openbookqa
Buerger's disease is not associated with
[ "Characteristic 'corrugation' of femoral aeries on angiography", "Affects male under the age of 30 year", "Involvement of large sized aeries primarily", "Thrombophlebitis of deep or superficial veins" ]
C
Buerger's disease (thromboangitis obliterans)Occlusive disease of small and medium-sized aeriesThrombophlebitis of superficial or deep veinsRaynaud syndromeAffects males (<30yrs)Angiography sometimes showed a characteristic 'corrugation' of the femoral aeries as well as the distal aerial occlusions and helps to distinguish the condition from aggressive atheroma of early onset.
medmcqa
A dealer purchases 15 articles for Rs. 25 and sells 12 articles for Rs. 30. Find the profit percentage?
[ "50", "33", "66", "88" ]
A
L.C.M of 15 and 12 = 60 CP of 60 articles = Rs. 100 (25 * 4) SP of 60 articles = Rs. 150 (30 * 5) Profit percentage = (150 - 100)/100 * 100 = 50%
aqua_rat
If 20 men can build a wall 66 metres long in 6 days, what length of a similar can be built by 86 men in 8 days?
[ "49 m", "46.5m", "46 m", "45 m" ]
A
Let the required length be x metres More men, More length built (Direct Proportion) Less days, Less length built (Direct Proportion) Men 20: 35 Days 6: 3 : : 56 : x Therefore (20 x 6 x x)=(35 x 3 x 56)<=>x=(35 x 3 x 56)/120=49 Hence, the required length is 49 m.
aqua_rat
What is the time required for a vehicle to cover a distance of 480 km with a speed of 60 kmh?
[ "12 hours", "8 hours", "10 hours", "9 hours" ]
B
Time= Distance / Speed Time = 480 / 60 = 8
aqua_rat
A bag contains 7 green and 8 white balls. If two balls are drawn simultaneously, the probability that both are of the same colour is
[ "7/10", "7/15", "7/21", "7/11" ]
B
Drawing two balls of same color from seven green balls can be done in ways. Similarly from eight white balls two can be drawn in ways. P = 7C2/15C2 + 8C2/15C2 = 7/15
aqua_rat
The average height of 30 students in a class was calculated as 177 cm. It has later found that the height of one of the students in the class was incorrectly written as 151 cm whereas the actual height was 106 cm. What was the actual average height of the students in the class?
[ "176.5 cm", "175.5 cm", "172.5 cm", "173.5 cm" ]
B
The total height was 45 cm too much. The average height should be reduced by 45 cm/30 = 1.5 cm
aqua_rat
A patient gets reccurent uicaria while doing exercise and on exposure to sunligh. Which of the following is most like cause:
[ "Universal dermographism", "Chronic Idiopathic Utricaria", "Cholinergic Utricaria", "Photdermatitis" ]
C
C i.e. Cholinergic Uicaria - Patients developing uicaria (itchy wheals surrounded by erythema) under the influence of any stimulus which includes sweating by increasing core body temperature like physical exeion, emotional upset, and exposure to sun, heat, hot bath or spicy foodQ ours the diagnosis of cholinergic uicaria. Antihistaminics of H1 receptor blockerQ are drug of choice for treatment of uicaria.
medmcqa
A can do a piece of work in 10 days. He works at it for 4 days and then B finishes it in 9 days. In how many days can A and B together finish the work?
[ "6 days", "8 ½ days", "7 ½ days", "9 days" ]
A
4/10 + 9/x = 1 => x = 15 1/10 + 1/15 = 1/6 => 6 days
aqua_rat
If x is a positive integer, then the least value of x for which x! is divisible by 100,000 is? Can someone please explain intuitively what the question is asking?
[ "30", "20", "5", "12" ]
B
In order x! to be divisible by 1,000, it should have at least 3 trailing zeros. A trailing 0 in factorial of a number is produced by 2 and 5 in it: 2*5 = 10. So, we need 10 to be in x! at least in power of 3. 5! = 120 has 1 trailing zeros. 10! will have 2 trailing zeros. 15! will have 3 trailing zeros. 20! will have 5 trailing zeros.
aqua_rat
HPV vaccine is:
[ "Monovalent", "Bivalent", "Bivalent & quadrivalent", "Quardrivalent" ]
C
Currently two Human Papilloma Virus (HPV) vaccines are available in India as a protection against cervical cancer Gardasil vaccine: HPV types 6, 11, 16, 18 (Quadrivalent) Cervarix vaccine: HPV types 16, 18 (Bivalent)
medmcqa
John deposited $10,000 to open a new savings account that earned 4 percent annual interest, compounded quarterly. If there were no other transactions in the account, what was the amount of money in John’s account 6 months after the account was opened?
[ "$10,201", "$10,101", "$10,100", "$10,400" ]
A
Approach #1: 4 percent annual interest compounded quarterly --> 1% in 3 moths. For the first 3 moths interest was 1% of $10,000, so $100; For the next 3 moths interest was 1% of $10,000, plus 1% earned on previous interest of $100, so $100+$1=$101; Total interest for 6 months was $100+$101=$201, hence balance after 6 months was $10,000+ $201=$10,201. . Approach #2: If the interest were compounded every 6 moths instead of every 3 months (quarterly) then in 6 months the interest would be 4%/2=2% of $10,000, so $200. Now, since the interest is compounded quarterly then there would be interest earned on interest (very small amount) thus the actual interest should be a little bit more than $200, only answer choice D fits.
aqua_rat
What is glomerular filtration rate? March 2008
[ "100 ml/min", "125 ml/min", "150 ml/min", "175 ml/ min" ]
B
125 ml/minThe GFR in an average-sized normal man is approximately 125 ml./min.Its magnitude correlates fairly well with surface area, but values in women are 10% lower than those in men even after correction for surface area. A rate of 125 mL/ min is 7.5 L/h, or 180 L/d, whereas the normal urine volume is about 1 L/d. Thus, 99% or more of the filtrate is normally reabsorbed. At the rate of 125 mL/ min, the kidneys filter in 1 day an amount of fluid equal to 4 times the total body water, 15 times the ECF volume and 60 times the plasma volume.
medmcqa
Treatment of extragonadal germ cell tumour is -
[ "Immunotherapy", "Surgery", "Radiotherapy", "Chemotherapy" ]
D
Chemotherapy of extragonadal GCT utilizes BEP regimen; a combination of Bleomycin & Etoposide Cisplatin (Platinol)
medmcqa
In a certain shop , 70 percent of customers buy mobiles made by company (A) and the rest buy mobiles made by company (B) . A new mobile is made by company (A) . If 90 percent of customers who prefer company (A) and 50 percent of customers who prefer company (B) are expected to buy the new mobile , whats percent of customers are expected to buy the new mobile ?
[ "86", "70", "82", "78" ]
D
Say there are total of 100 customers in the shop . Thus 70 customers prefer company (A) and 30 customers prefer company(B). 70*0.9=63 customers who prefer company (A) are expected to buy for the new mobile ; 30*0.5=15 customers who prefer company (B) are expected to buy for the new mobile . Thus total of 63+15=78 members are expected to buy the new mobile, which is 78% of the total number of customers .
aqua_rat
A(8, w^2) is the (x, y) coordinate of point located on the parabola Y = X^2 + 17. What is the value of w?
[ "6.", "5.", "9.", "3." ]
C
y=x^2 +17 w^2=8^2+17 w^2=81 W=9
aqua_rat
Excessive ultraviolet [uv) radiation is harmful to life'. The damage caused to the biological systems by ultraviolet radiation.
[ "Ionization", "Formation of thymidine dimmers", "DNA fragmentation", "Inhibition of DNA synthesis" ]
B
UV rays causes DNA damage by forming TT dimers (pyrimidine dimmers) which prevents replication
medmcqa
The only cranial nerve which supplies a contralateral muscle is-
[ "Fourth", "Third", "Tenth", "Seventh" ]
A
"It is important to remember that cranial nerves never cross (except for one exception, the 4th cranial nerve) and clinical findings are always on the same side as the cranial nerve involved". —Clinical neurology
medmcqa
The difference between the local value and face value of 7 in the numeral 657903 is:
[ "6993", "0", "803", "903" ]
A
(Local value)-(Face value)= (7000-7) =6993.
aqua_rat
Most common manifestation of HPV infection in children :
[ "Multiple papillomatosis", "Osteoma", "Sarcoma", "Single papilloma" ]
A
Multiple warts are common.
medmcqa
IOC for diffuse axonal injury is -
[ "PET Scan", "MRI", "CT Scan", "Radiograph" ]
B
MRI Diffuse Axonal Injury* A special type of deep white matter lesion consists of widespread mechanical disruption, or shearing, of axons at the time of impact.* Most characteristic are small areas of tissue injury in the corpus callosum and dorsolateral pons.* This presence of widespread axonal damage in both hemispheres is called diffuse axonal injury (DAI).* It has been proposed to explain persistent coma and the vegetative state after closed head injury.* Only severe shearing lesions that contain blood are visualized by CT, usually in the corpus callosum and centrum semiovale; however, selective imaging sequences of the MRI can demonstrate such lesions throughout the white matter. Thus MRI is considered the investigation of choice for diffuse axonal injury.
medmcqa
Resident of town X participated in a survey to determine the number of hours per week each resident spent watching television. The distribution of the results of the survey had a mean of 21 hours and std deviation of 5 hrs. The number of hours that pat, a resident of town X, watched television last week was between 1 and 2 standard deviation below the mean. Which of the following could be the number of hours that Pat watched television last week?
[ "20", "6", "12", "18" ]
C
21-12 < no of hrs < 21-5 9< no of hrs < 16.
aqua_rat
ln spondylolisthesis following radiological features seen-
[ "Nepolean sign", "Scotty dog wearing a collar", "Scotty dog", "Beheaded scotty dog terrier sign" ]
D
Scottish terrier dog is normal appearance of neural arch shadow. Scottish dog wearing a collar is seen in spondylolysis Beheaded Scottish dog is seen in spondylolisthesis Also remember inveed Napolean hat sign is seen in spondylolisthesis. Oblique view of spine better displays the lamina and aicular processes than AP and lateral view
medmcqa
Under the Primary health care, which of the following staff is present at the subcentre level?
[ "Health guides", "Medical officer", "Block extension educator", "Multipurpose health worker" ]
D
Multipurpose health worker Staffing pattern at various centres of public health sectorAt village level D. At CHC levelVillage health guides Existing clinical manpowerLocal dai * General SurgeonAnganwadi worker * PhysicianAt subcentre level * Obstetrician/GynaecologistMultipurpose health * Paediatrician worker (female)/ANM Proposed clinical manpowerMultipurpose health * Anaesthetist worker (male) * Eye surgeonVoluntary worker * Public health programmeAt PHC level manager (also k/a BlockMedical officer Surveillance Officer) Pharmacist Existing support manpower Nurse mid-wife * Nurse-midwife (1 ANM and 1 Health worker PHN) (female)/ANM * DresserBlock extension * Lab technician educator * RadiographerHealth assistant (male) * Ophthalmic assistantHealth assistant (female)/LHV * Ward boy/nursing orderlyU.D.C. * SweepersL.D.C. * ChowkidarLab technician * OPD attendantDriver (subject to availability of vehicle) * Statistical assistant/Data entry operatorClass IV * OT attendant * Registration clerk.
medmcqa
Normal volume of adult testis-
[ "10-15ml", "25-30 ml", "5-10ml", "15-20 ml" ]
D
15-20 ml "Normal adult testicular volume is 15-20 ml, calculated by the formula : length x width x depth x 0-52 = volume" - Grainger.
medmcqa
If x is less than y by 20% then y exceed x by:
[ "66.66%", "25%", "None of these", "75%" ]
B
Using formula (x/(100-x)*100) where x is Percentage decrease (here it is 20%) => 20/(100-20)*100 =25%
aqua_rat
Two trains started at the same time, one from A to B and the other from B to A . If they arrived at B and A respectively 16 hours and 49 hours after they passed each other the ratio of the speeds of the two trains was
[ "1:2", "2:1", "7:4", "4:3" ]
C
Note : If two trains (or bodies) start at the same time from points A and B towards each other and after crossing they take a and b sec in reaching B and A respectively, then: (A's speed) : (B's speed) = (b : a)
aqua_rat
'Flare' in Triple response is mediated by
[ "Axon reflex", "Local hormones", "Histamine release", "Arteriolar dilation" ]
A
Lewis Triple response includes wheal, flare and red reaction. Histamine when released causes capillary dilatation due to precapillary sphincter relaxation resulting in red reaction. Due to the dilatation, the gap between endothelial cells is widened, which leads to increased permeability and allows extravasation of fluid resulting in wheal. Axon reflex mediates arteriolar dilatation resulting in flare.
medmcqa
The ratio of investments of two partners P and Q is 7:5 and the ratio of their profits is 7:10. If P invested the money for 5 months, find for how much time did Q invest the money?
[ "19", "17", "10", "13" ]
C
7*5: 5*x = 7:10 x = 10
aqua_rat
RamkaliBai, a 35-year-old female presented with a one-year history of menstrual irregularity and galactorrhoea. She also had off and on headache, her examination revealed bitemporal superior quadrantanopia. Her fundus examination showed primary optic atrophy. Which of the following is a most likely diagnosis in this case-
[ "Pituitary macroadenoma", "Ophthalamicicaaneurysm", "ChiasmalGlioma", "Craniopharyngioma" ]
A
pituitary macroadenoma is a tumor of pituitary gland .it causes excessive prolactin secretion causing galactorrhea and inhibit GnRH causing FSH and LH abnormality and also signs of CNS compression causing visual field defects
medmcqa
A 30-year-old firefighter suffers extensive third-degree burns over his arms and hands. This patient is at high risk for developing which of the following complications of wound healing?
[ "Keloid", "Contracture", "Incisional hernia", "Dehiscence" ]
B
Contracture. A mechanical reduction in the size of a wound depends on the presence of myofibroblasts and sustained cell contraction. An exaggeration of these processes is termed contracture and results in severe deformity of the wound and surrounding tissues. Contractures are particularly conspicuous in the healing of serious burns and can be severe enough to compromise the movement of joints.Diagnosis: Contracture
medmcqa
Two tains of equal lengths take 10 seconds and 20 seconds respectively to cross a telegraph post. If the length of each train be 120 metres, in what time (in seconds) will they cross each other travelling in opposite direction?
[ "16", "20", "13.3", "12" ]
C
Speed of the first train = [120 / 10] m/sec = 12 m/sec. Speed of the second train = [120 / 20] m/sec = 6 m/sec. Relative speed = (12 + 6) = m/sec = 18 m/sec. ∴ Required time = (120 + 120) / 18 secc = 13.3 sec.
aqua_rat
A train speeds past a pole in 10 seconds and a platform 100 m long in 30 seconds. Its length is?
[ "45 m", "50 m", "251 m", "188 m" ]
B
Let the length of the train be x meters and its speed be y m/sec. They, x / y = 10 => y = x/10 x + 100 / 30 = x / 10 x = 50 m.
aqua_rat
What is the name for the process of charging an object by touching it with another charged object?
[ "charging by convection", "charging by conduction", "charging by connection", "charging by transfer" ]
B
Charging an object by touching it with another charged object is called charging by conduction. By bringing a charged object into contact with an uncharged object, some electrons will migrate to even out the charge on both objects. Charging by conduction gives the previously uncharged object a permanent charge. An uncharged object can also be charged using a method called charging by induction . This process allows a change in charge without actually touching the charged and uncharged objects to each other. Imagine a negatively charged rod held near the knob, but not touching. If we place a finger on the knob, some of the electrons will escape into our body, instead of down the stem and into the leaves. When both our finger and the negatively charged rod are removed, the previously uncharged electroscope now has a slight positive charge. It was charged by induction. Notice that charging by induction causes the newly charged object to have the opposite charge as the originally charged object, while charging by conduction gives them both the same charge.
sciq
Subtracting 10% from X is the same as multiplying X by what number?
[ "98%", "90%", "97%", "20%" ]
B
X - (10/100) X = X * ? ? = 90%
aqua_rat
A 7-year-old child from West Bengal presented with high grade fever with chills and rigor. Peripheral smear examination revealed Plasmodium vivax. He was given treatment for the same. But he again presented with jaundice, and a repeat peripheral smear showed following. What is your diagnosis?
[ "Sickle cell Anemia", "Viral Hepatitis", "Glucose 6 Phosphate dehydrogenase deficiency", "Hemolytic uremic syndrome" ]
C
Peripheral smear showing 'bite cells' after treatment with anti-malarials - suggests G6PD deficiency. G6PD deficiency: X-linked recessive disorder. Most common red cell enzyme deficiency. Hemolysis is seen d/t raised oxidative stress. FEATURES: Pallor, icterus, hemoglobinemia, hemoglobinuria, splenomegaly etc are seen Heinz bodies are seen DRUGS CAUSING OXIDATIVE STRESS IN THESE PATIENTS: Sulfonamides - sulfamethoxazole Anti-malarials - Primaquine, quinine Analgesics - Aspirin, NSAIDS, phenazopyridine (pyridium) Others - Nitrofurantoin, Dapsone, Methylene blue, Rasburicase, Toluidine blue, Nalidixic acid, Furazolidine, quinidine
medmcqa
A case of acute flaccid paralysis must be observed for how many days for residual weakness -
[ "30 days", "90 days", "42 days", "60 days" ]
D
AFP surveillance is done in all children below age of 15 years. - at least 80% of the AFP cases should have a follow up examination of residual paralysis at 60 days after the onset of paralysis. Reference : Park's textbook of preventive and social medicine, 23rd edition, pg no:204 <\p>
medmcqa
By selling an article at Rs.800, a shopkeeper makes a profit of 25%. At what price should he sell the article so as to make a loss of 25%?
[ "287", "181", "480", "238" ]
C
SP = 800 Profit = 25% CP = (SP)*[100/(100+P)] = 800 * [100/125] = 640 Loss = 25% = 25% of 640 = Rs.160 SP = CP - Loss = 640 - 160 = Rs.480
aqua_rat
At what angle the hands of a clock are inclined at 15 minutes past 5?
[ "145/2°", "155/2°", "135/2°", "117/2°" ]
C
Apply the formula: 30h-11/2m=Angle 30*5-11/2*15 150-165/2=135/2
aqua_rat
The caffeine - halothane bath is used to diagnose with of the following condition-
[ "Malignant hypehermia", "King denborough syndrome", "Thyrotoxicosis", "Neuroleptic malignant syndrome" ]
A
The caffeine - halothane bath is used to diagnose Malignant hypehermia The caffeine halothanecontracture test (CHCT) is the criterion standard for establishing thediagnosisof malignant hypehermia (MH). The test is performed on freshly biopsied muscle tissue at 30 centers worldwide; one of these centers is located in Canada, and four are located in the United States.
medmcqa
Structures pass through optic foramen
[ "Optic nerve alone", "Ophthalmic aery and optic nerve", "Ophthalmic vein and ophthalmic aery", "Optic nerve and ophthalmic vein" ]
B
Optic foramen transmits Optic nerve with all layer of meninges Ophthalmic aery Fig: structures passing through various foramina of skull
medmcqa
A cistern can be filled by a tap in 3 hours while it can be emptied by another tap in 9 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled ?
[ "5 hrs", "4.5 hrs", "6.5 hrs", "9.2 hrs" ]
B
Net part filled in 1 hour= 1/3 -1/9= 2/9 Therefore the cistern will be filled in 9/2 hours or 4.5 hours.
aqua_rat
A card is drawn from a pack of 52 cards. The probability of getting a queen of club or a king of heart is
[ "1/13", "1/26", "2/13", "1/52" ]
B
Total number of cases = 52 Favourable cases = 2 Probability = 2/56 = 1/26
aqua_rat
What aspect of beryllium allows it to absorb x-rays?
[ "low atomic number", "high atomic number", "magnetism", "relative atomic number" ]
A
TiCl4(l) + 2Mg(s) → Ti(s) + 2MgCl2(s) The only other alkaline earth that is widely used as the metal is beryllium, which is extremely toxic. Ingestion of beryllium or exposure to beryllium-containing dust causes a syndrome called berylliosis, characterized by severe inflammation of the respiratory tract or other tissues. A small percentage of beryllium dramatically increases the strength of copper or nickel alloys, which are used in nonmagnetic, nonsparking tools (such as wrenches and screwdrivers), camera springs, and electrical contacts. The low atomic number of beryllium gives it a very low tendency to absorb x-rays and makes it uniquely suited for applications involving radioactivity. Both elemental Be and BeO, which is a high-temperature ceramic, are used in nuclear reactors, and the windows on all x-ray tubes and sources are made of beryllium foil. Millions of tons of calcium compounds are used every year. As discussed in earlier chapters, CaCl 2 is used as “road salt” to lower the freezing point of water on roads in cold temperatures. In addition, CaCO 3 is a.
sciq
In a can, there is a mixture of milk and water in the ratio 4 : 5. If it is filled with an additional 8 litres of milk the can would be full and ratio of milk and water would become 6 : 5. Find the capacity of the can? A. 40
[ "87", "44", "46", "64" ]
B
Let the capacity of the can be T litres. Quantity of milk in the mixture before adding milk = 4/9 (T - 8) After adding milk, quantity of milk in the mixture = 6/11 T. 6T/11 - 8 = 4/9(T - 8) 10T = 792 - 352 => T = 44.
aqua_rat
Our bodies use what, primarily in the form of glucose, for our immediate energy needs - although they are not as energy dense or capable of long-term storage as lipids?
[ "proteins", "carbohydrates", "enzymes", "electrolytes" ]
B
Opening Essay On July 11, 2003, the Food and Drug Administration amended its food labeling regulations to require that manufacturers list the amount of trans fatty acids on Nutrition Facts labels of foods and dietary supplements, effective January 1, 2006. This amendment was a response to published studies demonstrating a link between the consumption of trans fatty acids and an increased risk of heart disease. Trans fatty acids are produced in the conversion of liquid oils to solid fats, as in the creation of many commercial margarines and shortenings. They have been shown to increase the levels of low-density lipoproteins (LDLs)—complexes that are often referred to as bad cholesterol—in the blood. In this chapter, you will learn about fatty acids and what is meant by a trans fatty acid, as well as the difference between fats and oils. You will also learn what cholesterol is and why it is an important molecule in the human body. Fats and oils, found in many of the foods we eat, belong to a class of biomolecules known as lipids. Gram for gram, they pack more than twice the caloric content of carbohydrates: the oxidation of fats and oils supplies about 9 kcal of energy for every gram oxidized, whereas the oxidation of carbohydrates supplies only 4 kcal/g. Although the high caloric content of fats may be bad news for the dieter, it says something about the efficiency of nature’s designs. Our bodies use carbohydrates, primarily in the form of glucose, for our immediate energy needs. Our capacity for storing carbohydrates for later use is limited to tucking away a bit of glycogen in the liver or in muscle tissue. We store our reserve energy in lipid form, which requires far less space than the same amount of energy stored in carbohydrate form. Lipids have other biological functions besides energy storage. They are a major component of the membranes of the 10 trillion cells in our bodies. They serve as.
sciq
In a BCCI meeting there are 13 people. All shake hands with each other once. How many handshakes will be there altogether?
[ "19", "28", "13", "12" ]
D
There will be n-1 handshakes as A person will shake hands with all the other members. =13-1=12
aqua_rat
The cost price of a radio is Rs.4500 and it was sold for Rs.3200, find the loss %?
[ "32%", "28.9%", "22%", "28%" ]
B
4500 ---- 1300 100 ---- ? => 28.9%
aqua_rat
Two pipes A and B can separately fill a tank in 8 and 10 minutes respectively. A third pipe C can drain off 15 liters of water per minute. If all the pipes are opened, the tank can be filled in 10 minutes. What is the capacity of the tank?
[ "120 liters", "160 liters", "740 liters", "560 liters" ]
A
1/8 + 1/10 - 1/x = 1/10 x = 8 8 * 15 = 120
aqua_rat
A 30 year old male was attacked by goons while coming from his office . He has a penetrating injury in the abdomen which damaged superior mesenteric aery and the vagus nerve . Which among the following poions of colon is most likely to get affected ?
[ "Ascending and transverse colons", "Descending and sigmoid colons", "Ascending and descending colons", "Transverse and sigmoid colons" ]
A
The ascending and transverse colons receive blood from the superior mesenteric aery and parasympathetic nerve fibers from the vagus nerve. However, the descending and sigmoid colons receive blood from the inferior mesenteric aery and the parasympathetic nerve fibers from the pelvic splanchnic nerve arising from sacral spinal nerves (S2-S4).
medmcqa
Water is formed from oxygen and what other element?
[ "calcium", "lead", "helium", "hydrogen" ]
D
When hydrogen gas is reacted with oxygen gas, water is formed as the product.
sciq
The average of 100,200,300 and x is 250 and the average of 300,150,100,x and y is 200. What is the value of y?
[ "100", "250", "200", "50" ]
D
We have : (100+200+300+x) /4 = 250 600+x = 1000 x = 400 (300+150+100+x+y)/5 = 200 550+400+y = 1000 y = 50
aqua_rat
Three cows work to fill a tub at at different rate. Hose A and B, working together, can fill the tub in 3/5 of an hour. Hoses A and C can fill it in 1/2 an hour. Houses B and C can fill it in 2 hours. How long does it take all 3 cows, working together, to fill the tub?
[ "2/5", "3/10", "6/5", "6/11" ]
D
We have ,in 1 hourwhen two hose working together can fill the tub as follow: 1/a + 1/b = 1/3/5 of the work 1/a + 1/c = 1/1/2 of the work 1/b + 1/c = 1/2 of the work =>Get total both sides we got : 2(1/a +1/b +1/c) = 10+30+15/30 of the work or 1/a +1/b +1/c = 55/30=11/6 of the work Calculate total amount of time taken when three hoses work together 11/6 = 6/11
aqua_rat
When performing an experiment for a science fair, what should be done if the data do not support the hypothesis?
[ "Check for errors and run the experiment again.", "Change the hypothesis to match the conclusion.", "Change the variable so the data will match the hypothesis.", "Ignore the data and prepare the science fair display anyway." ]
A
If the data do not support the hypothesis, the best course of action is to check for errors and possibly repeat the experiment to ensure accuracy and reliability of the results. This approach allows for a thorough investigation of the experiment's validity, whereas changing the hypothesis or variables to fit the data undermines the scientific method and integrity of the research. Ignoring the data would also prevent learning from the experiment.
ai2_arc_challenge
A ladder was rested along a wall of height 5m. If ladder slides 2m away from the wall then ladder touches the foot of the wall .What is the height of the ladder.
[ "8.25 mtrs", "7.25 mtrs", "9.25 mtrs", "6.25 mtrs" ]
B
suppose , earlier foot of ladder was x mtres away from wall, then length of ladder = x+2 mtrs hence (x+2)^2 = x^2+5^2 x= 21/4 = 5.25 mtrs length of ladder = 5.25+2= 7.25 mtrs
aqua_rat
What is the probability of flipping a fair coin six times and the coin landing on heads on at least two flips?
[ "11/16", "57/64", "29/32", "51/64" ]
B
The number of possible outcomes is 2^6=64. 0 heads: There is 1 way to have all tails. 1 head: There are 6 ways to have one head. P(0 or 1 head)=7/64 P(at least 2 heads)=1 - 7/64 = 57/64
aqua_rat
During a routine physical examination a 65-year-old male patient is tested for ease and flexibility of the movements of his lumbar region. Which of the following movements is most characteristic of the intervertebral joints in the lumbar region?
[ "Circumduction", "Lateral flexion", "Adduction", "Abduction" ]
B
Lateral flexion is the best answer because other movements of the lumbar portion of the vertebral column are very limited due to the orientation of the articular facets.
medmcqa
In a two-digit, if it is known that its unit's digit exceeds its ten's digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is:
[ "24", "48", "26", "42" ]
A
Let the ten's digit be x. Then, unit's digit = x + 2. Number = 10x + (x + 2) = 11x + 2. Sum of digits = x + (x + 2) = 2x + 2. (11x + 2)(2x + 2) = 144 22x2 + 26x - 140 = 0 11x2 + 13x - 70 = 0 (x - 2)(11x + 35) = 0 x = 2. Hence, required number = 11x + 2 = 24.
aqua_rat
A 35-year-old primigravida at 38 weeks of gestational age has a blood pressure reading of 150/100 mm Hg obtained during a routine visit. Her baseline blood pressure during the pregnancy was 120/70 mm Hg. The patient denies any headache, visual changes, nausea, vomiting, or abdominal pain. Her repeat BP is 160/90 mm Hg, and urinalysis is negative for protein. Which of the following is the most likely diagnosis?
[ "Chronic hypeension with superimposed preeclampsia", "Gestational hypeension", "Preeclampsia", "Eclampsia" ]
B
Explanation: Hypeension in pregnancy is defined as blood pressure of 140/90 mmHg or greater on at least two separate occasions that are 6 h or more apa. Gestational hypeension- maternal blood pressure reaches 140/90 mm Hg or greater for the first time during pregnancy, after 20 weeks and proteinuria is not present. Preeclampsia- blood pressure increases to 140/90 mm Hg after 20 weeks of gestation and proteinuria is present (300 mg in 24 h or 1+ protein or greater on dipstick). Eclampsia- is present when women with preeclampsia develop seizures. Chronic hypeension is defined as BP >140/90 mm Hg before pregnancy or diagnosed before 20 weeks of gestation, or hypeension first diagnosed after 20 weeks of gestation and persistent after 12 weeks postpaum.
medmcqa
The as yet undiscovered grand unified theory is a search to unify laws of what branch of science?
[ "physics", "chemistry", "masses", "genetics" ]
A
Over 2500 years ago Aristotle proposed two laws of physics governing motion. One for ‘Earthly bodies’ (objects on Earth) that states objects naturally go in straight lines and one for ‘Heavenly bodies’ (objects in space) that states objects naturally go in circles. This idea held steady for 2,000 years until Isaac Newton, in a triumph of brilliance, declared that there is one law of physics that governs motion and he unified “earthly” bodies and “heavenly” bodies with the The Universal Law of Gravitation. Newton used the universal law of gravity to prove that the moon is accelerating towards Earth just as a body on Earth is falling towards it. The acceleration of both the moon and the object on Earth is calculated using the same formula. This theory is so well regarded that it has been used to hypothesize the existence of black holes and dark matter, later verified by observation. The search to unify the laws of physics into one theory continues today and is often referred to as the yet undiscovered Grand Unified Theory (GUT).
sciq
One day Eesha started 30 min late from home and reached her office 50 min late while driving 25% slower than her usual speed. How much time in min does eesha usually take to reach her office from home?
[ "18", "60", "99", "22" ]
B
We know that Speed is inversely proportional to time While she drives 25% slower means she drove at 3434(S) We know that D = S x T When speed became 3434(S) then Time taken should be 4343(T) i.e, She has taken 4343(T) - T extra to cover the distance. Extra Time = T3T3 = 20 min (as 20 min late due to slow driving) Actual time T = 60 Minutes
aqua_rat
On a test, students receive 6 points for each correct answer and are penalized by losing 3 points for each incorrect answer. There are 6 questions on the test and each question has 4 answer options, A, B, C, and D. It is known that 5 of the questions have option B as the correct answer and one question has option C as the correct answer. If a student marks B for the first 3 questions and C for the last 3 questions, what is the minimum possible score that student can receive?
[ "-2", "-1", "1", "0" ]
D
For the minimum possible score, let us take the worst case scenario Suppose, he gets all of the last 3 qs wrong whose correct answer options are B and one of the first 3 qs wrong whose correct option is C In that case, he will get only 2 out of the first 3 qs right. Therefore, minimum possible score=(6*2)-(4*3)=0
aqua_rat
An investment compounds annually at an interest rate of 30% What is the smallest investment period by which time the investment will more than double in value?
[ "3", "6", "4", "7" ]
A
1 year: 100/3 = 33.33 approx $34: Total: 134 2nd year: 134/3 = 45: Total: 134+45 = 179 3rd year: 179/3 = 60: Total: 179+60 = 239 > 2 (100) ;3 years;
aqua_rat
The virus which causes aplastic anemia in chronic hemolytic diseases is -
[ "Hepatitis virus", "Adenovirus", "Parvovirus", "EB virus" ]
C
Parvo virus B-19 "Parvovirus B-19 induces aplastic crisis in children with chronic hemolytic anemias, as in sickle cell disease". Parvovirus . Non-enveloped DNA (ss DNA) viruses. . Only DNA virus which has single stranded DNA. . Smallest virus . Has smallest genome . Only one medically impoant human parvovirus - Parvovirus B 19 . Transmission is by respiratory route and through blood. . Infection is commonly acquired in childhood (5-10 yrs). . Most of the infections are asymptomatic. . Most common presentation is respiratory infection with an erythematous maculopapular rash and ahralgia - Erythema infectiosum or Fifth disease. . Stas with prominant erythema of cheeks --> slapped cheek disease. . Parvovirus B-19 induces aplastic crisis in children with chronic hemolytic anemias, as in sickle cell disease. . Parvovirus B-19 infection during second or third trimester of pregnancy may result in nonimmune fetal hydrops.
medmcqa
The owner of a furniture shop charges his customer 24% more than the cost price. If a customer paid Rs. 8339 for a computer table, then what was the cost price of the computer table?
[ "2681", "2277", "6725", "2697" ]
C
CP = SP * (100/(100 + profit%)) = 8339(100/124) = Rs. 6725.
aqua_rat
Two express trains start at the same hour in the day from two different stations and move towards each other at the rate of 16 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?
[ "km", "km", "km", "km" ]
A
1h ----- 5 ? ------ 60 12 h RS = 16 + 21 = 37 T = 12 D = 37 * 12 = 444
aqua_rat
In case M is the only individual sewing on committee B, which among the following shouldserve on committee A?
[ "U and S", "T and U", "V and T", "N and O" ]
D
N and O should serve on A
aqua_rat
A number when divided by a certain divisor left remainder 255, when twice the number was divided by the same divisor, the remainder was 112. Find the divisor?
[ "460", "365", "370", "398" ]
D
Easy solution: N= Dq1+255 2N = 2Dq1 + 51 0- (1) 2N = Dq2 + 112 - (2) As (1) = (2) = 2N D*(q2-2q1) = 398 D * Some integer = 398 Checking all options only (C) syncs with it.
aqua_rat
If John invested $ 1 at 5 percent interest compounded annually, the total value of the investment, in dollars, at the end of 5 years would be
[ "4(1.5)", "(1.05)^5", "1 + 4(0.05)", "(1.5)^4" ]
B
f John invested $ 1 at 5 percent interest compounded annually, the total value of the investment, in dollars, at the end of 5 years would be 1(1.05)^5 1.05^5
aqua_rat
What term is used to describe a simple diagram that shows one way energy flows through an ecosystem?
[ "water cycle", "food chain", "food pyramid", "fuel chain" ]
B
A food chain is a simple diagram that shows one way energy flows through an ecosystem. You can see an example of a food chain in Figure below . Producers form the base of all food chains. The consumers that eat producers are called primary consumers. The consumers that eat primary consumers are secondary consumers. This chain can continue to multiple levels.
sciq
Find the odd man out 1, 3, 10, 21, 64, 129, 356, 777
[ "64", "384", "21", "356" ]
D
1*2+1=3,3*3+1=10,10*2+1=21,21*3+1=64,64*2+1=129,129*3+1=388 but here it placed with 356, so it is wrong. starts with x*2+1,next x*3+1 alternately changes
aqua_rat
Two trains of equal length are running on parallel lines in the same directions at 46km/hr. and 36km/hr. The faster trains pass the slower train in 18 seconds. The length of each train is:
[ "25m", "80m", "50m", "None of these" ]
A
The relative speed of train is 46-36 = 10 Km/hr = (10 X 5) / 18 = 25/9 m/s10×518=259m/s In 18 secs the total distance traveled is 18x25/9 = 50 m. Therefore the length of each train is = 50/2 = 25 m.
aqua_rat
In Township K, 1/5 of the housing units are equiped with cable Tv. If 1/15 of the housing units, including 1/3 of those that are equiped with cable tv, are equipped with videocassette recorders, what fraction of the housing units have neither cable tv nor videocassette recorders?
[ "4/5", "2/15", "11/15", "7/10" ]
A
1/5 -- cable TV (This includes some data from video cassette recorder) 1/15 -- video cassette recorder including 1/3(equiped with cable tv) i.e. 1/3(1/5) = 1/15 therefore only video cassette recorder = 1/15 - 1/15 = 0 Total = 1/5+0+neither cable tv nor videocassette recorders 1 = 1/5 + neither cable tv nor videocassette recorders therefore neither cable tv nor videocassette recorders = 1-1/5 = 4/5
aqua_rat
When N is divided by 10 the remainder is 1 and when N is divided by 3 the remainder is 2. What is the remainder Q when N is divided by 30?
[ "(e) 17", "(b) 7", "(c) 11", "(a) 4" ]
C
N ends in the digit 1 because when N is divided by 10, the remainder is 1. Since N ends in 1, the remainder Q when N is divided by 30 also ends in a 1. 11 is the only choice which ends in a 1.C
aqua_rat
Warfarin induced skin necrosis is seen in:
[ "Factor V leiden deficiency", "Protein C deficiency", "Sickle cell anemia", "Antithrombin 3 deficiency" ]
B
It is due to decreased levels of protein C. It is more likely to occur in patients with genetic deficiency of protein C. Most common side effect of warfarin:Bleeding Dermal vascular necrosis is early appearing adverse effect. Due to decreased osteocalcin synthesis Warfarin causes nasal hypoplasia and therefore contraindicated in pregnancy
medmcqa
A man can row upstream at 25 kmph and downstream at 31 kmph, and then find the speed of the man in still water?
[ "18", "22", "28", "27" ]
C
US = 25 DS = 31 M = (31 + 25)/2 = 28
aqua_rat
Citelli's angle is
[ "Solid angle", "Pa of Mac Ewan's triangle", "Sinodural angle", "CP angle" ]
C
Sinudural angle, also called Citelli's angle, is situated between the sigmoid sinus and middle cranial fossa dural plate. Solid angle is the area where three bony semicircular canal meet.
medmcqa
If n is a prime number greater than 3, what is the remainder when n^2 is divided by 13?
[ "2", "5", "13", "0" ]
C
There are several algebraic ways to solve this question including the one under the spoiler. But the easiest way is as follows:since we can not have two correct answersjust pick a prime greater than 3, square it and see what would be the remainder upon division of it by 13. n=5 --> n^2=25 --> remainder upon division 25 by 13 is 12.
aqua_rat
The list price of an article is Rs.65. A customer pays Rs.56.16 for it. He was given two successive discounts, one of them being 10%. The other discount is?
[ "3%", "8%", "2%", "4%" ]
D
65*(90/100)*((100-x)/100) = 56.16 x = 4%
aqua_rat
In an examination a pupil's average marks were 63 per paper. If he had obtained 22 more marks for his Geography paper and 2 more marks for his History paper, his average per paper would have been 65. How many papers were there in the examination?
[ "12", "9", "11", "10" ]
A
Let the number of papers be x. Then, 63x + 22 + 2 = 65x = 2x = 24 = x = 12.
aqua_rat
From the sale of sleeping bags, a retailer made a gross profit of 17% of the wholesale cost. If each sleeping bag was sold for $28, what was the wholesale cost per bag?
[ "3.36", "23.93", "31.36", "25.0" ]
B
Cost price * 1.17 = Selling price --> Cost price * 1.17= $28 --> Cost price = $23.93.
aqua_rat
If a, b, and c are consecutive positive even integers and a > b > c, which of the following could be equal to a + b + c ?
[ "2", "12", "-3", "-1" ]
B
consectutive even , X , X + 2 , X + 4 where X = Even now subtract X + (X+2) + (X+4) doing this leaves us with 3X + 6 what even number can we substitute in X to yield an answer choice
aqua_rat
EEG pattern in REM sleep is
[ "High amplitude, rapid waves", "Low amplitude, rapid waves", "Low amplitude, slow waves", "High amplitude, slow waves" ]
D
(A) High amplitude, slow waves # SLEEP PATTERNS:> There are two different kinds of sleep: rapid eye movement (REM) sleep and non-REM (NREM), or slow wave, sleep.> NREM sleep is divided into four stages. A person falling asleep first enters stage 1, which is characterized by low-amplitude, high-frequency EEG activity> Stage 2 is marked by appearance of sleep spindles.> These are bursts of alpha-like, 10-14-Hz, 50-pV waves.> In stage 3, the pattern is one of lower frequency and increased amplitude of the EEG waves.> Maximum slowing with large waves is seen in stage 4.> Thus, the characteristic of deep sleep is a pattern of rhythmic slow waves, indicating marked synchronization.# REM Sleep:> The high-amplitude slow waves seen in the EEG during sleep are sometimes replaced by rapid, low- voltage EEG activity, which in primates, including humans, resembles that seen in stage 1 sleep.> However, sleep is not interrupted; indeed, the threshold for arousal by sensory stimuli and by stimulation of the reticular formation is elevated.> This condition is sometimes called paradoxical sleep, since the EEG activity is rapid.> Rapid, roving movements of the eyes occur during paradoxical sleep, and it is for this reason that it is also called REM sleep.> No such movements are present in slow-wave sleep, which consequently is often called NREM sleep.> Another characteristic of REM sleep is the occurrence of large phasic potentials, in groups of three to five, that originate in the pons and pass rapidly to the lateral geniculate body and from there to the occipital cortex.> For this reason, they are called pontogeniculo-occipital (PGO) spikes.
medmcqa
Pipe A can fill a tank in 4 hours, pipe B in 12 hours and pipe C in 40 hours. If all the pipes are open, in how many hours will the tank be filled ?
[ "None of these", "2.8 hours", "3.5 hours", "2 hours" ]
B
Part filled by A in 1 hour = 1/4 Part filled by B in 1 hour = 1/12 Part filled by C in 1 hour = 1/40 Part filled by (A+B+C) in 1 hour = 1/4+1/12+1/40=43/120 So all pipes will fill the tank in 2.8 hours.
aqua_rat
What is the last digit of (2^3)^4 ?
[ "2", "8", "4", "6" ]
A
the unit digit of 2^1=2 2^5=2 2^9=2 and so on therefore, 2^81 =2
aqua_rat
There are 2 sections A and B in a class, consisting of 36 and 44 students respectively. If the average weight of section A is 40kg and that of section B is 35kg, Find the average of the whole class?
[ "55.12kg", "37.25kg", "35.29kg", "42.45kg" ]
B
Total weight of 36+44 students = 36*44 + 44*35 = 2980 Average weight of the class is = 2980/80 = 37.25 kg
aqua_rat
In the first 20 overs of a cricket game, the run rate was only 4.3. What should be the run rate in the remaining 30 overs to reach the target of 264 runs?
[ "6.75", "5.93", "6.5", "7" ]
B
Required run rate = (264 - (4.3 x 20))/30 = 178/30 = 5.93
aqua_rat
The muscle which is not supplied by recurrent laryngeal nerve is
[ "Thyroarytenoid", "Lateral cricoarytenoid", "Posterior cricoarytenoid", "Cricothyroid" ]
D
Adductor of vocal cordsThyroarytenoid muscle:- R and L muscles; attached to thyroid and arytenoid cailages on each side.Action shoens and relaxes vocal ligament.Note: deeper inner fibers referred to as "vocalis muscle".Lateral cricoarytenoid muscle: (R and L muscles):- Attached to cricoid and arytenoid cailage on each side.- Closes or adducts vocal folds.- Supplied by Recurrent laryngeal nerve.Cricothyroid muscle:Attached to cricoid and thyroid cailages.Tilts the thyroid cailage, thus increasing tension of vocal foldsSupplied by external laryngeal nerveInter-arytenoid muscle (transverse and oblique)- Attached between right and left arytenoid cailages- Closes inlet of larynx- Supplied by Recurrent laryngeal nerve Abductor of vocal cordsPosterior cricoarytenoid muscleAttached to cricoid and arytenoid cailagesMove arytenoid cailages so as to move both vocal folds apa, "open" of abduct vocal foldsSupplied by Recurrent laryngeal nerveVocalis muscle (derived from inner and deeper fibers of thyroarytenoid msucle)Supplied by Recurrent laryngeal nerveAll intrinsic muscles of the larynx are supplied by the recurrent laryngeal nerve except for cricothyroid which is supplied by external laryngeal nerve.
medmcqa
A cab driver 5days income was $45, $50, $60, $65 , $80. Then his average income is?
[ "$42", "$62", "$60", "$58" ]
C
avg = sum of observations/number of observations avg income=(45+50+60+65+80)/5 = 60
aqua_rat
The number '7' is the prime followed by a cube. Is there any other number sharing the same quality?
[ "Yes", "May be", "Do know", "No" ]
D
A No 7 is the only prime followed by a cube. Assume that n3-1 is a prime for some n. N3-1 will be equal to (n−1)(n2+n+1) Now, n-1 divides n3-1.
aqua_rat
Difference of 2 numbers is 100. If 5% of one number is 10% of the other number, find the addition of2 numbers?
[ "150", "290", "210", "300" ]
D
Let the numbers be x and y 5% of x = 10% of y x = 2y x-y = 100 2y - y =100 y = 100 x = 2y = 200 x+y = 300
aqua_rat