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- Question
753 x 753 + 247 x 247 - 753 x 247 =? 753 x 753 x 753 + 247 x 247 x 247
Options- A. 1⁄1000
- B. 1⁄506
- C. 253⁄500
- D. None of these
- Correct Answer
- 1⁄1000
ExplanationGiven Exp. = (a2 + b2 - ab) = 1 = 1 = 1 (a3 + b3) (a + b) (753 + 247) 1000 - 1. (935421 x 625) =?
Options- A. 575648125
- B. 584638125
- C. 584649125
- D. 585628125 Discuss
- 2. A number when divided successively by 4 and 5 leaves remainders 1 and 4 respectively. When it is successively divided by 5 and 4, then the respective remainders will be
Options- A. 1, 2
- B. 2, 3
- C. 3, 2
- D. 4, 1 Discuss
- 3. A number when divided by 296 leaves 75 as remainder. When the same number is divided by 37, the remainder will be:
Options- A. 1
- B. 2
- C. 8
- D. 11 Discuss
- 4. On multiplying a number by 7, the product is a number each of whose digits is 3. The smallest such number is:
Options- A. 47619
- B. 47719
- C. 48619
- D. 47649 Discuss
- 5. The sum of even numbers between 1 and 31 is:
Options- A. 6
- B. 28
- C. 240
- D. 512 Discuss
- 6. A number was divided successively in order by 4, 5 and 6. The remainders were respectively 2, 3 and 4. The number is:
Options- A. 214
- B. 476
- C. 954
- D. 1908 Discuss
- 7. Which one of the following is not a prime number?
Options- A. 31
- B. 61
- C. 71
- D. 91 Discuss
- 8. If the number 91876 * 2 is completely divisible by 8, then the smallest whole number in place of * will be:
Options- A. 1
- B. 2
- C. 3
- D. 4
- E. None of these Discuss
- 9. (12)3 x 64 ÷ 432 =?
Options- A. 5184
- B. 5060
- C. 5148
- D. 5084
- E. None of these Discuss
- 10. Which of the following numbers is divisible by each one of 3, 7, 9 and 11?
Options- A. 639
- B. 2079
- C. 3791
- D. 37911
- E. None of these Discuss
Numbers problems
Search Results
Correct Answer: 584638125
Explanation:
| 935421 x 625 = 935421 x 54 = 935421 x | ❨ | 10 | ❩ | 4 |
| 2 |
| = | 935421 x 104 | = | 9354210000 |
| 24 | 16 |
= 584638125
Correct Answer: 2, 3
Explanation:
4 | x y = (5 x 1 + 4) = 9 -------- 5 | y -1 x = (4 x y + 1) = (4 x 9 + 1) = 37 -------- | 1 -4 Now, 37 when divided successively by 5 and 4, we get 5 | 37 --------- 4 | 7 - 2 --------- | 1 - 3 Respective remainders are 2 and 3.
Correct Answer: 1
Explanation:
Let x = 296 q + 75
= (37 x 8q + 37 x 2) + 1
= 37 (8q + 2) + 1
Thus, when the number is divided by 37, the remainder is 1.
Correct Answer: 47619
Explanation:
By hit and trial, we find that
47619 x 7 = 333333.
Correct Answer: 240
Explanation:
Let S n = (2 + 4 + 6 + ... + 30). This is an A.P. in which a = 2, d = 2 and l = 30
Let the number of terms be n. Then,
a + (n - 1)d = 30
⟹ 2 + (n - 1) x 2 = 30
⟹ n = 15.
| ∴Sn = | n | (a + l) | = | 15 | x (2 + 30) = (15 x 16) = 240. |
| 2 | 2 |
Correct Answer: 214
Explanation:
4 | x z = 6 x 1 + 4 = 10 ----------- 5 | y -2 y = 5 x z + 3 = 5 x 10 + 3 = 53 ----------- 6 | z - 3 x = 4 x y + 2 = 4 x 53 + 2 = 214 ----------- | 1 - 4 Hence, required number = 214.
Correct Answer: 91
Explanation:
91 is divisible by 7. So, it is not a prime number.
Correct Answer: 3
Explanation:
Then number 6 x 2 must be divisible by 8.
∴ x = 3, as 632 is divisible 8.
Correct Answer: 5184
Explanation:
| Given Exp. = | (12)3 x 64 | = | (12)3 x 64 | = (12)2 x 62 = (72)2 = 5184 |
| 432 | 12 x 62 |
Correct Answer: 2079
Explanation:
639 is not divisible by 7
2079 is divisible by each of 3, 7, 9, 11.
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