Q: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings?
Solution: Let S be the sample space Then, n(S) = 52C2= 1326. Let E = event of getting 2 kings out of 4. n(E) = 52*512*1= 6. 4C2 =>4*32*1 P(E)=n(E)n(S)=61326=1221 The correct answer is: B) 1/221
Q: Find out the wrong number in the given sequence of numbers. 582, 605, 588, 611, 634, 617, 600
Solution: Alternatively 23 is added and 17 is subtracted from the terms. So, 634 is wrong. The correct answer is: A) 634
Q: The ratio between the perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle?
Solution: 2l+bb=51 => 2l + 2b = 5b => 3b = 2l b=(2/3)l Then, Area = 216 cm2 => l x b = 216 => l x (2/3)l =216 l = 18 cm. The correct answer is: B) 18
Q: A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is:
Solution: C.P. of 56 kg rice = Rs. (26 x 20 + 30 x 36) = Rs. (520 + 1080) = Rs. 1600. S.P. of 56 kg rice = Rs. (56 x 30) = Rs. 1680. Gain =(80/1600*100) % = 5% The correct answer is: B) 5%
Q: Reena took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 432 as interest at the end of the loan period, what was the rate of interest?
Solution: The correct answer is: B) 6
Q: The sum of two numbers is 528 and their H.C.F is 33. The number of pairs of numbers satisfying the above condition is
Solution: Let the required numbers be 33a and 33b. Then 33a +33b= 528 => a+b = 16. Now, co-primes with sum 16 are (1,15) , (3,13) , (5,11) and (7,9). Therefore, Required numbers are ( 33 x 1, 33 x 15), (33 x 3, 33 x 13), (33 x 5, 33 x 11), (33 x 7, 33 x 9) The number of such pairs is 4 The correct answer is: A) 4
Q: The length of a rectangle is halved, while its breadth is tripled. What is the percentage change in area?
Solution: Let original length = x and original breadth = y. Original area = xy. New length = x/2 and New breadth=3y New area = 32xy Therefore, Increase in area = New area-original area = 32xy-xy=12xy Therefore, Increase % = increase in area original area*100=12xyxy*100=50 % The correct answer is: D) 50%
Q: Find the compound interest on Rs. 16,000 at 20% per annum for 9 months, compounded quarterly
Solution: Principal = Rs. 16000; Time = 9 months =3 quarters;Rate = 20% per annum = 5% per quarter.Amount = Rs. [16000 x (1+(5/100))3] = Rs. 18522. CJ. = Rs. (18522 - 16000) = Rs. 2522 The correct answer is: B) 2522
Q: A rectangular block 6 cm by 12 cm by 15 cm is cut up into an exact number of equal cubes. Find the least possible number of cubes.
Solution: Volume of the block = (6 x 12 x 15) cu.cm = 1080 cu.cm Side of the largest cube = H.C.F. of 6 cm, 12 cm, 15 cm = 3 cm. Volume of this cube = (3 x 3 x 3) cu.cm = 27 cu.cm Number of cubes =108027 = 40. The correct answer is: B) 40
Q: How many weekends in a year?
Solution: Weekend means Saturday & Sunday together. In total we have 52 weeks in a year. So there are 52 weekends in a year. In normal we have 104 Weekend Days. We know that a Each normal year has 365 days or 52 weeks plus one day, and each week has two weekend days, which means there are approximately 104 weekend days each year. Whereas in a leap year we have 366 days it adds one more day to the year. And what makes the change is the starting day of the year. The correct answer is: A) 52
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