# Aptitude - Problem on Numbers

### MCQ

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Q 1.

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

Options:

• 320

• 322

• 324

• 326

Q 2.

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.

Options:

• 73

• 43

• 63

• 53

Q 3.

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?

Options:

• 10

• 11

• 12

• 13

Q 4.

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

Options:

• 18:11

• 21:17

• 11:9

• 22:9

x + y = 40

x - y = 4

so, x = 22

and y = 18

Q 5.

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

Options:

• 5

• 6

• 7

• 8

x - y = 13

x + y = 25

so, x = 19 and y = 6

Q 6.

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.

Options:

• 72

• 84

• 56

• 49

Q 7.

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?

Options:

• 3

• 5

• 4

• None of these

Q 8.

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.

Options:

• 460

• 352

• 253

• 802

Q 9.

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.

Options:

• 290/287

• 290/289

• 289/290

• 287/290

M.N = 17

or, M = 1 and N = 17.

So, 1/M2 + 1/N2 = 290/289

Q 10.

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?

Options:

• 4

• 32

• 8

• 16

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