# Aptitude - Numbers

Exercise : Numbers - General Questions

- Numbers - Formulas
- Numbers - General Questions

46.

In dividing a number by 585, a student employed the method of short division. He divided the number successively by 5, 9 and 13 (factors 585) and got the remainders 4, 8, 12 respectively. If he had divided the number by 585, the remainder would have been

Answer: Option

Explanation:

5 |xz= 13 x 1 + 12 = 25 -------------- 9 |y- 4y= 9 xz+ 8 = 9 x 25 + 8 = 233 -------------- 13|z- 8x= 5 xy+ 4 = 5 x 233 + 4 = 1169 -------------- | 1 -12 585) 1169 (1 585 --- 584 --- Therefore, on dividing the number by 585, remainder = 584.

47.

In a division sum, the divisor is 10 times the quotient and 5 times the remainder. If the remainder is 46, what is the dividend ?

Answer: Option

Explanation:

Divisor = (5 x 46) = 230

10 x Quotient = 230 = | 230 | = 23 |

10 |

Dividend = (Divisor x Quotient) + Remainder

= (230 x 23) + 46

= 5290 + 46

= 5336.

48.

4500 x ? = 3375

Answer: Option

Explanation:

4500 x x = 3375 x = |
^{75} |
= | 3 |

_{100} |
4 |

49.

What smallest number should be added to 4456 so that the sum is completely divisible by 6 ?

Answer: Option

Explanation:

6) 4456 (742 42 --- 25 24 Therefore, Required number = (6 - 4) = 2. --- 16 12 --- 4

50.

What least number must be subtracted from 13601, so that the remainder is divisible by 87 ?

Answer: Option

Explanation:

87) 13601 (156 87 ---- 490 435 ---- 551 522 --- 29 --- Therefore, the required number = 29.

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