1. In a division sum, the remainder is 0. A student mistook the divisor by 12 instead of 21 and obtained 35 as quotient. What is the correct quotient? (SSC 2003)

(a) 0

(b) 12

(c) 13

(d) 20

(a) 0

(b) 12

(c) 13

(d) 20

2. The difference between the squares of two consecutive odd integers is always divisible by

(CDS 2015(I))

(a) 3

(b) 7

(c) 8

(d) 16

3. What is the remainder when (1235 x 4523 x 2451) is divided by 12? (CDS 2014 (II))

(a) 1

(b) 3

(c) 5

(d) 7

4. A number, when divided by 114, leaves remainder 21. If the same number is divided by 19, then the remainder will be (SSC 2010)

(a) 1

(b) 2

(c) 7

(d) 17

5. On dividing a number by 5, we get 3 as remainder. What will be the remainder when the square of this number is divided by 5? (SSC 2005)

(a) 0

(b) 1

(c) 2

(d) 4

6. Consider four digit numbers for which the first two digits are equal and the last two digits are also equal. How many such numbers are perfect squares? (CAT 2007)

(a) 2

(b) 4

(c) 0

(d) 1

(e) 3

7. The integers 34041 and 32506 when divided by a three digit integer

(a) 289

(b) 367

(c) 453

(d) 307

8. Consider the following statements:

I. To obtain prime numbers less than 121, we are to reject all the multiples of 2, 3, 5, 7.

II. Every composite number less than 121 is divisible by a prime number less than 11.

Which of the statement(s) given above is/are correct? (CDS 2013)

(a) Only I

(b) Only II

(c) Both I and II

(d) Neither I nor II

9. The sum of four consecutive two-digit odd numbers, when divided by 10, becomes a perfect square. Which of the following can possibly be one of these four numbers? (CAT 2006)

(a) 21

(b) 25

(c) 41

(d) 67

(e) 73

10. When you reverse the digits of the number 13, the number increases by 18. How many other two digit numbers increase by 18 when their digits are reversed? (CAT 2006)

(a) 6

(b) 4

(c) 8

(d) 5

(e) 7

(CDS 2015(I))

(a) 3

(b) 7

(c) 8

(d) 16

3. What is the remainder when (1235 x 4523 x 2451) is divided by 12? (CDS 2014 (II))

(a) 1

(b) 3

(c) 5

(d) 7

4. A number, when divided by 114, leaves remainder 21. If the same number is divided by 19, then the remainder will be (SSC 2010)

(a) 1

(b) 2

(c) 7

(d) 17

5. On dividing a number by 5, we get 3 as remainder. What will be the remainder when the square of this number is divided by 5? (SSC 2005)

(a) 0

(b) 1

(c) 2

(d) 4

6. Consider four digit numbers for which the first two digits are equal and the last two digits are also equal. How many such numbers are perfect squares? (CAT 2007)

(a) 2

(b) 4

(c) 0

(d) 1

(e) 3

7. The integers 34041 and 32506 when divided by a three digit integer

*n*, leave the same remainder. What is the value of*n*? (CAT 2000)(a) 289

(b) 367

(c) 453

(d) 307

8. Consider the following statements:

I. To obtain prime numbers less than 121, we are to reject all the multiples of 2, 3, 5, 7.

II. Every composite number less than 121 is divisible by a prime number less than 11.

Which of the statement(s) given above is/are correct? (CDS 2013)

(a) Only I

(b) Only II

(c) Both I and II

(d) Neither I nor II

9. The sum of four consecutive two-digit odd numbers, when divided by 10, becomes a perfect square. Which of the following can possibly be one of these four numbers? (CAT 2006)

(a) 21

(b) 25

(c) 41

(d) 67

(e) 73

10. When you reverse the digits of the number 13, the number increases by 18. How many other two digit numbers increase by 18 when their digits are reversed? (CAT 2006)

(a) 6

(b) 4

(c) 8

(d) 5

(e) 7

Q No |
Answer |
Q No |
Answer |

1 |
(d) |
2 |
(c) |

3 |
(b) |
4 |
(b) |

5 |
(d) |
6 |
(d) |

7 |
(d) |
8 |
(c) |

9 |
(c) |
10 |
(a) |

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