IBPS Bank PO CWE Quantitative
Aptitude Questions
1 A sum of money doubles itself in four years at compound interest in scheme 1. The same sum doubles itself in six years at simple interest in scheme 2. What is the ratio of the respective number of years required in scheme 1 and scheme 2 for a sum to become eight times itself ?
a) 2: 7 b) 2 : 3 c) 1 : 3 d) 1 : 4 e) none of these Ans 2:7
2. Tap T1 can fill an empty tank in 9 hours. Two emptying taps , tap T2 and T3 can empty it in 18 hours and 27 hours respectively, if they are fitted at the bottom of the tank. But tap T2 is fitted at 1/3rd of the height of the tank and Tap T3 is fitted at 2/3rd of the height of the tank. In how much time will the tank be filled, if all the three taps are opened simultaneously when the tank is empty?
a) 27 hours b) 26 2/3 hours c) 251/2 hours d) 24 hours e) none of these
Till the level reaches 1/3rd of the tank, neitherof the emptying taps will function.
So,the filling tap will take 9 x 1/3 = 3 hours to fill 1/3rd of the tank
From here till 2/3rd of the height is reached, tap T1 and tap T2 are functional.
1/3 x 1(1/9-1/18) = 6 hours
The last 1/3rd of the tank, all the three taps will function they will fill tank in
1/3 * (1/(1/9-1/18– 1/27) = 18 hours
So, a total of ( 3+ 6 + 18) = 27 hours. Choice (1)
3 Two men starting from the same place walk at the rate of 5 kmph and 5.5 kmph respectively. What time will they take to be 8.5 km apart, if they walk in the same direction ?
a) 4 hrs 15 min b)8 hrs 30 min c)17hrs e) none of these Ans 17 hrs
4 The calendar for the year 2005 is the same as for the year
a) 2010 b)2011 c) 2012 d)2013 e) none of these Ans 2012
5.A printer numbers the pages of a book starting with 1 and uses 3189 digits in all. How many pages does the book have ?
a) 1000 b)1074 c) 1075 d)1080 E) 1084 Ans 1074
6 In a garden, there are 10 columns and 12 rows of mango trees. The distance between the two trees is 2 metres and a distance of 1 metre is left from all sides of the boundary of the garden. The width of the garden is :
a) 20m b) 22m c) 24m d) 26m e) 29m Ans 22 m
7In a certain railway network there are 25 railway stations. Earlier the tickets issued contained only the destination station’s name. Now the officials want to print tickets with both starting and destination station’s names on them. How many more kinds of tickets than in previous method are to be printed in the new method?
a. 50 b. 250 c. 575 d. 600 e) None of these Answer: Option (c)
8 A and B throw dice, one after the other, until one of them throws a 5 and the person who throws a 5 first wins the game. If A begins the game, then the probability that B wins the game is ..
a. 5/11 b. ½ c. 7/11 d. 6/11 e) None of these Answer: Option (a)
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1 A sum of money doubles itself in four years at compound interest in scheme 1. The same sum doubles itself in six years at simple interest in scheme 2. What is the ratio of the respective number of years required in scheme 1 and scheme 2 for a sum to become eight times itself ?
a) 2: 7 b) 2 : 3 c) 1 : 3 d) 1 : 4 e) none of these Ans 2:7
2. Tap T1 can fill an empty tank in 9 hours. Two emptying taps , tap T2 and T3 can empty it in 18 hours and 27 hours respectively, if they are fitted at the bottom of the tank. But tap T2 is fitted at 1/3rd of the height of the tank and Tap T3 is fitted at 2/3rd of the height of the tank. In how much time will the tank be filled, if all the three taps are opened simultaneously when the tank is empty?
a) 27 hours b) 26 2/3 hours c) 251/2 hours d) 24 hours e) none of these
Till the level reaches 1/3rd of the tank, neitherof the emptying taps will function.
So,the filling tap will take 9 x 1/3 = 3 hours to fill 1/3rd of the tank
From here till 2/3rd of the height is reached, tap T1 and tap T2 are functional.
1/3 x 1(1/9-1/18) = 6 hours
The last 1/3rd of the tank, all the three taps will function they will fill tank in
1/3 * (1/(1/9-1/18– 1/27) = 18 hours
So, a total of ( 3+ 6 + 18) = 27 hours. Choice (1)
3 Two men starting from the same place walk at the rate of 5 kmph and 5.5 kmph respectively. What time will they take to be 8.5 km apart, if they walk in the same direction ?
a) 4 hrs 15 min b)8 hrs 30 min c)17hrs e) none of these Ans 17 hrs
4 The calendar for the year 2005 is the same as for the year
a) 2010 b)2011 c) 2012 d)2013 e) none of these Ans 2012
5.A printer numbers the pages of a book starting with 1 and uses 3189 digits in all. How many pages does the book have ?
a) 1000 b)1074 c) 1075 d)1080 E) 1084 Ans 1074
6 In a garden, there are 10 columns and 12 rows of mango trees. The distance between the two trees is 2 metres and a distance of 1 metre is left from all sides of the boundary of the garden. The width of the garden is :
a) 20m b) 22m c) 24m d) 26m e) 29m Ans 22 m
7In a certain railway network there are 25 railway stations. Earlier the tickets issued contained only the destination station’s name. Now the officials want to print tickets with both starting and destination station’s names on them. How many more kinds of tickets than in previous method are to be printed in the new method?
a. 50 b. 250 c. 575 d. 600 e) None of these Answer: Option (c)
8 A and B throw dice, one after the other, until one of them throws a 5 and the person who throws a 5 first wins the game. If A begins the game, then the probability that B wins the game is ..
a. 5/11 b. ½ c. 7/11 d. 6/11 e) None of these Answer: Option (a)
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