Important Question ESE - General Studies & Eng Aptitude
1. Which of the following is true?
(a) Sum of four consecutive even numbers is always divisible by 8.
(b) Sum of four consecutive odd numbers is always divisible by 8.
(c) Product of any n consecutive natural numbers may not be divisible by n!.
(d) Product of 4 consecutive odd numbers is always divisible by 15.
Answer: (b)
2. An Egyptian fraction has a numerator equal to 1, and its denominator is a positive integer. What is the maximum number of different Egyptian fraction such that their sum is equal to 1, and their denominators are equal to 10 or less?
(a) 3
(b) 5
(c) 7
(d) 9
Answer: (a)
3. What is the least number which must be subtracted from 1936 so that the remainder when divided by 9, 10, 15 will leave in each case the same remainder 7?
(a) 32
(b) 53
(c) 46
(d) 39
Answer: (b)
4. What is the greatest number consisting of six digits which on being divided by 6, 7, 8, 9, 10 leaves 4, 5, 6, 7, 8 as remainders respectively?
(a) 997920
(b) 997918
(c) 999999
(d) 997922
Answer: (d)
5. What is the least number which on being divided by 5, 6, 8, 9, 12 leaves in each case a remainder 1 but when divided by 13 leaves no remainder?
(a) 2987
(b) 3601
(c) 3600
(d) 2986
Answer: (b)
6. A ball is dropped from a height of 12 m and it rebounds ½ of the distance it falls. If it continues to fall and rebound in this way, how far will it travel before coming to rest?
(a) 36 m
(b) 30 m
(c) 48 m
(d) 60 m
Answer: (a)
7. Two new charity organizations C1 and C2 were formed, with x members each, on January 1, 2003. On first day of each, subsequent month, in C1, number of members increase by a certain number a, while in C2, number of members increase in such a way that ratio of the number of members in a month to the preceding month bear a ratio equal to b. On May 1, 2003, both organizations had the same number of members. If a = 20x, then b will be
(a) 2
(b) 3
(c) 2.5
(d) 3.5
Answer: (b)
8. A school has 5 divisions in a class IX having 60, 50, 55, 62 and 58 students. Mean marks obtained in a History test were 56, 64, 72, 63 and 50 by each division respectively. What is the overall average of the marks per students?
(a) 56.8
(b) 58.2
(c) 62.4
(d) 60.8
Answer: (d)
9. Average age of a committee of seven trustees is the same as it was five years ago, a younger man having been substituted for one of them. How much younger was he then trustee whose place he took?
(a) 32 years
(b) 35 years
(c) 33 years
(d) 34 years
Answer: (b)
10. Six men A, B, C, D, E, F agree with a seventh man G to provide a sum of money among them. A, B, C, D, E, F are to substitute Rs 10 each, and G is to pay Rs 3 more than the average of the seven. What is the whole sum to be provided?
(a) Rs 73.50
(b) Rs 74
(c) Rs 73
(d) Rs 72.50
Answer: (a)
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