Number System
1. The sum of three consecutive odd numbers and three consecutive even numbers together is 231. Also, the smallest odd number is 11 less than the smallest even number. What is the sum of the largest odd number and the largest even number?
(1) 82
(2) 83
(3) 74
(4) Can’t be determined
(5) None of these
2. The sum of four consecutive even numbers is 44. What is the sum of t he squares of these numbers ?
(1) 288
(2) 502
(3) 696
(4) 920
(5) None of these
3. The product of two consecutive even numbers is 3248. Which is the larger number?
(1) 58
(2) 62
(3) 56
(4) 60
(5) None of these
4. The sum of five consecutive odd numbers is 575. What is the sum of the next set of the consecutive odd numbers?
(1) 615
(2) 635
(3) 595
(4) Can’t be determined
(5) None of these
5. The product of two successive numbers is 9506. Which is the smaller of the two numbers?
(1) 96
(2) 97
(3) 98
(4) 99
(5) None of these
6. A, B, C, D and E are five consecutive odd numbers. The sum of A and C is 146. What is the value of E?
(1) 75
(2) 81
(3) 71
(4) 79
(5) None of these
7. The product of two consecutive even numbers is 582168. Which is smaller number?
(1) 760
(2) 762
(3) 764
(4) 766
(5) 756
8. The product of two successive numbers is 4032. Which is the greater of the two numbers?
(1) 63
(2) 64
(3) 65
(4) 66
(5) None of these
9. The sum of the consecutive even numbers is 60. What is the sum of the squares of these numbers?
(1) 2423
(2) 2323
(3) 2424
(4) 920
(5) None of these
10. The product of two successive numbers is 1980. Which is the smallest number?
(1) 34
(2) 44
(3) 35
(4) 45
(5) None of these
11. Which of the following smallest number should be added to 41116 t make it exactly divisible by 8?
(1) 8
(2) 5
(3) 4
(4) 12
(5) None of these
12. Which of the following smallest number should be added to 86237 to make it exactly divisible by 9?
(1) 11
(2) 9
(3) 10
(4) 2
(5) None of these
13. a, b, c and d are four consecutive numbers. If the sum of a and d is 103, what is the product of b and c?
(1) 2652
(2) 2562
(3) 2970
(4) 2550
(5) None of these
14. What is the least number to be added to 920 to make it a perfect square ?
(1) 41
(2) 31
(3) 39
(4) 49
(5) None of these
Directions (Q. Nos. 15 to 16) In each of the following questions, a question followed by two statements numbered I and II are given. You have to read both the statements and then
Give answer (1) If the data given a statement A alone are sufficient to answer the question whereas the data given in statement B alone are not sufficient to answer the question.
Give answer (2) If the data given in statement B alone are sufficient to answer the question whereas the data given in statement A alone are not sufficient to answer the question.
Give answer (3) If the data in either statement A alone or in statement B alone are sufficient to answer the question.
Give answer (4) If the data in both the statements A and B are not sufficient to answer the question.
Give answer (5) If the data given in both the statements A and B are necessary to answer the question.
15. Is x an even number?
A. x is divisible by 2
B. x added to an odd number is an odd number.
16. Is B an odd numbers?
A. B multiplied by an odd number is equal to an even number.
B. B is divisible by 2.
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