Q: The volume of a wall, 5 times as high as it is broad and 8 times as long as it is high, is 12.8 cu. meters. Find the breadth of the wall.
Solution: Let the breadth of the wall be x metres. Then, Height = 5x metres and Length = 40x metres. x * 5x * 40x = 12.8 =>x3 =12.8/200 = 128/2000 =64/1000 => x = 4/10 m => x = (4/10)*100 = 40 cm The correct answer is: A) 40cm
Q: A 6% stock yields 8% . The market value of the stock is :
Solution: For an income of Rs. 8, investment = Rs. 100. For an income of Rs 6, investment =Rs. (100/8*6) = Rs. 75 Market value of Rs. 100 stock = Rs. 75. The correct answer is: B) Rs.75
Q: If two letters are taken at random from the word HOME, what is the probability that none of the letters would be vowels?
Solution: P(first letter is not vowel) = 24 P(second letter is not vowel) = 13 So, probability that none of letters would be vowels is = 24×13=16 The correct answer is: A) 1/6
Q: In the 75 litres of mixture of milk and water, the ratio of milk and water is 4:1. The quantity of water required to make the ratio of milk and water 3:1 is
Solution: Total quantity of mixture = 75 litre Milk : Water = 4 : 1 3 : 1 The correct answer is: D) 5 litres
Q: A sum of money becomes 7/6 of itself in 3 years at a certain rate of simple interst. The rate per annum
Solution: sum = x. amount =7x/6. S.I. =(7x/6 – x) = x/6 ; time = 3 years Rate =[ (100 * x) / (x * 6 * 3)]% = 5.5% The correct answer is: B) 5.5%
Q: What smallest number should be added to 4456 so that the sum is completely divisible by 6 ?
Solution: 6)4456(742 42 -------- 25 24 ------- 16 12 ----- 4 ------ Required number = (6-4) = 2. The correct answer is: C) 2
Q: A boat sails 15 km of a river towards upstream in 5 hours. How long will it take to cover the same distance downstream, if the speed of current is one-fourth the speed of the boat in still water:
Solution: Upstream speed = B-S Downstream speed = B+s B-S = 15/5 = 3 km/h Again B= 4S Therefore B-S = 3= 3S => S = 1 and B= 4 km/h Therefore B+S = 5km/h Therefore, Time during downstream = 15/5 = 3h The correct answer is: B) 3h
Q: In a 100 m race, A beats B by 10 m and C by 13 m. In a race of 180 m, B will beat C by:
Solution: A : B = 100 : 90. A : C = 100 : 87. B/C = (B/A*A/C) = (90/100*100/87) = 30/29 When B runs 30 m, C runs 29 m. When B runs 180 m, C runs (29/30*180)m =174m B beats C by (180 - 174) m = 6 m. The correct answer is: D) 6m
Q: If today is Saturday, what will be the day 350 days from now ?
Solution: 350 days = (350/7=50 weeks) i.e No odd days, So it will be a Saturday. The correct answer is: A) Saturday
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