Aptitude - Numbers
Exercise : Numbers - General Questions
- Numbers - Formulas
- Numbers - General Questions
61.
When a number is divided by 13, the remainder is 11. When the same number is divided by 17, then remainder is 9. What is the number ?
Answer: Option
Explanation:
x = 13p + 11 and x = 17q + 9
13p + 11 = 17q + 9
17q - 13p = 2
![]() |
2 + 13p |
17 |
The least value of p for which q = | 2 + 13p | is a whole number is p = 26 |
17 |
x = (13 x 26 + 11)
= (338 + 11)
= 349
62.
(51 + 52 + 53 + ... + 100) = ?
Answer: Option
Explanation:
Sn = (1 + 2 + 3 + ... + 50 + 51 + 52 + ... + 100) - (1 + 2 + 3 + ... + 50)
= | 100 | x (1 + 100) - | 50 | x (1 + 50) |
2 | 2 |
= (50 x 101) - (25 x 51)
= (5050 - 1275)
= 3775.
63.
(800 ÷ 64) x (1296 ÷ 36) = ?
Answer: Option
Explanation:
Given Exp. = | 800 | x | 1296 | = 450 |
64 | 36 |
64.
Which natural number is nearest to 8485, which is completely divisible by 75 ?
Answer: Option
Explanation:
On dividing, we get 75) 8485 (113 75 --- 98 75 ---- 235 225 --- 10 --- Required number = (8485 - 10) // Because 10 < (75 - 10) = 8475.
65.
If the number 42573 * is exactly divisible by 72, then the minimum value of * is:
Answer: Option
Explanation:
72 = 9 x8, where 9 and 8 are co-prime.
The minimum value of x for which 73x for which 73x is divisible by 8 is, x = 6.
Sum of digits in 425736 = (4 + 2 + 5 + 7 + 3 + 6) = 27, which is divisible by 9.
Required value of * is 6.
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