# Aptitude - Problem on Numbers

MCQ

Q 1.

If three numbers are added in pairs then the sums equals 10, 19 and 21.

Option: A

1, 9, 20

Option: B

4, 8, 19

Option: C

6, 4, 15

Option: D

4, 6, 11

Q 2.

If R is a rational number. Then R + 1/R = 13/6. Find R?

Option: A

7/11 or 11/7

Option: B

3/2 or 2/3

Option: C

4/3 or 3/4

Option: D

9/5 or 5/9

Q 3.

If the sum of the squares of three numbers is 138 and the sum of their products taken two at a time is 131. Then what is the sum of the three numbers?

Option: A

21

Option: B

23

Option: C

22

Option: D

20

Q 4.

If the numerator and denominator of a fraction are both decreased by 1 then the fraction becomes 4/5.

And if the numerator is increated by 2 and the denominator is increased by 3 then the fraction becomes 7/9.

Find the fraction.

Option: A

13/11

Option: B

5/6

Option: C

6/5

Option: D

17/21

Q 5.

N represents a fraction where the denominator is 3 more than the numerator. If we increase both the denominator and the numerator by 4 then N becomes 4/5.

Find N.

Option: A

11/14

Option: B

8/11

Option: C

7/10

Option: D

5/8

Q 6.

X and Y represents two fractions. If their quotient is 35/24 and their product is 14/15.

Find the value of X and Y.

Option: A

8/7 and 5/6

Option: B

6/5 and 7/11

Option: C

6/5 and 7/9

Option: D

4/5 and 7/6

Q 7.

N represents a two digit number.

If the product of the digits is equal to 8 and if 18 is added to N then the digits are reversed.

Find N.

Option: A

24

Option: B

42

Option: C

81

Option: D

18

Q 8.

N represents a 2 digit number.

If N is three times the sum of its digits and when 45 is added to N the digits are reversed.

Find N.

Option: A

27

Option: B

72

Option: C

23

Option: D

32

Q 9.

If X - 3X/5 is 50. Then, what is X?

Option: A

123

Option: B

125

Option: C

124

Option: D

126

Q 10.

If X/2 + X/5 = X/3 + 22/3. Then, what is the value of X?

Option: A

18

Option: B

21

Option: C

19

Option: D

20

Q 11.

If N is an interger and the sum of N and its reciprocal is 34/8. Then, find the product of N and its square root?

Option: A

4

Option: B

32

Option: C

8

Option: D

16

Q 12.

If M and N represents two natural numbers and if their product is 17 then, what is the value of the sum of their reciprocal of their squares.

Option: A

290/287

Option: B

290/289

Option: C

289/290

Option: D

287/290

Q 13.

N represents an interger number consisting of 3 digits.

If the sum of the digits is 10 and the middle digit is equal to the sum of the other two digits.

And if 99 is added to N then, the digits are reversed.

Find N.

Option: A

460

Option: B

352

Option: C

253

Option: D

802

Q 14.

If the difference between a two digit number and the number obtained by interchanging its digits is 36.

Then, what is the difference between the two digits?

Option: A

3

Option: B

5

Option: C

4

Option: D

None of these

Q 15.

If the sum of three numbers is 264.

Then, what is the second number if the first number is twice the second and the third number is 1/3 of the first.

Option: A

72

Option: B

84

Option: C

56

Option: D

49

Q 16.

If the difference and the sum of the two numbers is 13 and 25 respectively. Then, find the smaller number.

Option: A

5

Option: B

6

Option: C

7

Option: D

8

Q 17.

Find the ratio of two numbers if their sum is 40 and their difference is 4.

Option: A

18:11

Option: B

21:17

Option: C

11:9

Option: D

22:9

Q 18.

X is a two digit number.

If the digits are interchanged and the new number is added to X then, the result is divisible by which number?

Option: A

10

Option: B

11

Option: C

12

Option: D

13

Q 19.

Z is a two digit number where, the unit's place digit is 3.

If the sum of the digits is equal to 1/7 of Z then, find the value of Z.

Option: A

73

Option: B

43

Option: C

63

Option: D

53

Q 20.

If the sum of 4 positive consecutive even integers is 1284 then, what is the greatest number?

Option: A

320

Option: B

322

Option: C

324

Option: D

326