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- Question
(112 + 122 + 132 + ... + 202) =?
Options- A. 385
- B. 2485
- C. 2870
- D. 3255
- Correct Answer
- 2485
Explanation
(11 2 + 12 2 + 13 2 + ... + 20 2 ) = (1 2 + 2 2 + 3 2 + ... + 20 2 ) - (1 2 + 2 2 + 3 2 + ... + 10 2 )[ Ref: (12 + 22 + 32 + ... + n2) = 1 n(n + 1)(2n + 1) ] 6 = ❨ 20 x 21 x 41 - 10 x 11 x 21 ❩ 6 6 = (2870 - 385)
= 2485.
- 1. The difference between the local value and the face value of 7 in the numeral 32675149 is
Options- A. 75142
- B. 64851
- C. 5149
- D. 69993
- E. None of these Discuss
- 2. What smallest number should be added to 4456 so that the sum is completely divisible by 6?
Options- A. 4
- B. 3
- C. 2
- D. 1
- E. None of these Discuss
- 3. If the number 97215 * 6 is completely divisible by 11, then the smallest whole number in place of * will be:
Options- A. 3
- B. 2
- C. 1
- D. 5
- E. None of these Discuss
- 4. (12345679 x 72) =?
Options- A. 88888888
- B. 888888888
- C. 898989898
- D. 9999999998 Discuss
- 5. How many of the following numbers are divisible by 3 but not by 9?
2133, 2343, 3474, 4131, 5286, 5340, 6336, 7347, 8115, 9276
Options- A. 5
- B. 6
- C. 7
- D. None of these Discuss
- 6. What will be remainder when 17200 is divided by 18?
Options- A. 17
- B. 16
- C. 1
- D. 2 Discuss
- 7. Which of the following numbers will completely divide (325 + 326 + 327 + 328)?
Options- A. 11
- B. 16
- C. 25
- D. 30 Discuss
- 8.
(489 + 375)2 - (489 - 375)2 =? (489 x 375)
Options- A. 144
- B. 864
- C. 2
- D. 4
- E. None of these Discuss
- 9. On dividing a number by 56, we get 29 as remainder. On dividing the same number by 8, what will be the remainder?
Options- A. 4
- B. 5
- C. 6
- D. 7 Discuss
- 10. Which one of the following is the common factor of (4743 + 4343) and (4747 + 4347)?
Options- A. (47 - 43)
- B. (47 + 43)
- C. (4743 + 4343)
- D. None of these Discuss
Numbers problems
Search Results
Correct Answer: 69993
Explanation:
(Local value of 7) - (Face value of 7) = (70000 - 7) = 69993
Correct Answer: 2
Explanation:
6) 4456 (742
42
---
25
24 Therefore, Required number = (6 - 4) = 2.
---
16
12
---
4
Correct Answer: 3
Explanation:
Given number = 97215 x 6
(6 + 5 + 2 + 9) - (x + 1 + 7) = (14 - x), which must be divisible by 11.
∴ x = 3
Correct Answer: 888888888
Explanation:
| 12345679 x 72 | = 12345679 x (70 +2) |
| = 12345679 x 70 + 12345679 x 2 | |
| = 864197530 + 24691358 | |
| = 888888888 |
Correct Answer: 6
Explanation:
Marking (/) those which are are divisible by 3 by not by 9 and the others by (X), by taking the sum of digits, we get:s
2133 → 9 (X)
2343 → 12 (/)
3474 → 18 (X)
4131 → 9 (X)
5286 → 21 (/)
5340 → 12 (/)
6336 → 18 (X)
7347 → 21 (/)
8115 → 15 (/)
9276 → 24 (/)
Required number of numbers = 6.
Correct Answer: 1
Explanation:
When n is even. ( x n - a n ) is completely divisibly by ( x + a )
(17200 - 1200) is completely divisible by (17 + 1), i.e., 18.
⟹ (17200 - 1) is completely divisible by 18.
⟹ On dividing 17200 by 18, we get 1 as remainder.
Correct Answer: 30
Explanation:
(3 25 + 3 26 + 3 27 + 3 28 ) = 3 25 x (1 + 3 + 3 2 + 3 3 ) = 3 25 x 40
= 324 x 3 x 4 x 10
= (324 x 4 x 30), which is divisible by30.
Correct Answer: 4
Explanation:
| Given Exp. = | (a + b)2 - (a - b)2 | = | 4ab | = 4 |
| ab | ab |
Correct Answer: 5
Explanation:
Formula: (Divisor*Quotient) + Remainder = Dividend.
Soln:
(56*Q)+29 = D -------(1)
D%8 = R -------------(2)
From equation(2),
((56*Q)+29)%8 = R.
=> Assume Q = 1.
=> (56+29)%8 = R.
=> 85%8 = R
=> 5 = R.
Correct Answer: (47 + 43)
Explanation:
When n is odd, ( x n + a n ) is always divisible by ( x + a ).
∴Each one of (4743 + 4343) and (4747 + 4347) is divisible by (47 + 43).
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