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- Question
How many natural numbers are there between 23 and 100 which are exactly divisible by 6?
Options- A. 8
- B. 11
- C. 12
- D. 13
- E. None of these
- Correct Answer
- 13
Explanation
Required numbers are 24, 30, 36, 42, ..., 96This is an A.P. in which a = 24, d = 6 and l = 96
Let the number of terms in it be n.
Then tn = 96 ⟹ a + (n - 1)d = 96
⟹ 24 + (n - 1) x 6 = 96
⟹ (n - 1) x 6 = 72
⟹ (n - 1) = 12
⟹ n = 13
Required number of numbers = 13.
- 1. If a and b are odd numbers, then which of the following is even?
Options- A. a + b
- B. a + b + 1
- C. ab
- D. ab + 2
- E. None of these Discuss
- 2. 2056 x 987 =?
Options- A. 1936372
- B. 2029272
- C. 1896172
- D. 1926172
- E. None of these Discuss
- 3. (800 / 64) x (1296 / 36) =?
Options- A. 420
- B. 460
- C. 500
- D. 540
- E. None of these Discuss
- 4. 3897 x 999 =?
Options- A. 3883203
- B. 3893103
- C. 3639403
- D. 3791203
- E. None of these Discuss
- 5. Which one of the following numbers is exactly divisible by 11?
Options- A. 235641
- B. 245642
- C. 315624
- D. 415624 Discuss
- 6. What least number must be subtracted from 13601, so that the remainder is divisible by 87?
Options- A. 23
- B. 31
- C. 29
- D. 37
- E. 49 Discuss
- 7. If the product 4864 x 9 P 2 is divisible by 12, then the value of P is:
Options- A. 2
- B. 5
- C. 6
- D. 8
- E. None of these Discuss
- 8. Which natural number is nearest to 8485, which is completely divisible by 75?
Options- A. 8475
- B. 8500
- C. 8550
- D. 8525
- E. None of these Discuss
- 9.
❨ 1 - 1 ❩ + ❨ 1 - 2 ❩ + ❨ 1 - 3 ❩ + ... up to n terms =? n n n
Options- A. 1⁄2 n
- B. 1⁄2 (n - 1)
- C. 1⁄2 n(n - 1)
- D. None of these Discuss
- 10. 3 + 33 + 333 + 3.33 =?
Options- A. 362.3
- B. 372.33
- C. 702.33
- D. 702
- E. None of these Discuss
Numbers problems
Search Results
Correct Answer: a + b
Explanation:
The sum of two odd number is even. So, a + b is even.
Correct Answer: 2029272
Explanation:
| 2056 x 987 | = 2056 x (1000 - 13) |
| = 2056 x 1000 - 2056 x 13 | |
| = 2056000 - 26728 | |
| = 2029272. |
Correct Answer: None of these
Explanation:
| Given Exp. = | 800 | x | 1296 | = 450 |
| 64 | 36 |
Correct Answer: 3893103
Explanation:
| 3897 x 999 | = 3897 x (1000 - 1) |
| = 3897 x 1000 - 3897 x 1 | |
| = 3897000 - 3897 | |
| = 3893103. |
Correct Answer: 415624
Explanation:
(4 + 5 + 2) - (1 + 6 + 3) = 1, not divisible by 11.
(2 + 6 + 4) - (4 + 5 + 2) = 1, not divisible by 11.
(4 + 6 + 1) - (2 + 5 + 3) = 1, not divisible by 11.
(4 + 6 + 1) - (2 + 5 + 4) = 0, So, 415624 is divisible by 11.
Correct Answer: 29
Explanation:
87) 13601 (156
87
----
490
435
----
551
522
---
29
---
Therefore, the required number = 29.
Correct Answer: None of these
Explanation:
Clearly, 4864 is divisible by 4.
So, 9P2 must be divisible by 3. So, (9 + P + 2) must be divisible by 3.
∴ P = 1.
Correct Answer: 8475
Explanation:
On dividing, we get
75) 8485 (113
75
---
98
75
----
235
225
---
10
---
Required number = (8485 - 10) // Because 10 < (75 - 10)
= 8475.
Correct Answer: 1⁄2 n(n - 1)
Explanation:
| Given sum |
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Correct Answer: 372.33
Explanation:
3 + 33 + 333 + 3.33 ------ 372.33 ------
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