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Problem on number Objective questions and answer

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1.) If the sum of a number and its square is 182, what is the number?

A. 13                                   B. 26

C. 52                                   D. 91

View Answer

Answer: Option A

Explanation:

Let the number be x.

Then, x + x2 = 182

==> x2 + x - 182 = 0

==> (x+14) (x-13) = 0

==> X=13


2.) Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is:

A. 11                                  B. 15

C. 21                                  D. 29

View Answer

Answer: Option B

Explanation:

Let the three integers be x, x + 2 and x + 4.

Then, 3x = 2(x + 4) + 3 

==> x = 11.

binduThird integer = x + 4 = 15.


3.) Twenty times a positive integer is less than its square by 96. What is the integer?

A. 20                                   B. 24

C. 24                                   D. None of these

View Answer

Answer: Option C

Explanation:

Let the integer be x

Then, x2-20x=96

==> X2 - 20x – 96 =0

==> (x+4)(x-24) = 0

==> X=24


4.) The sum of two numbers is 25 and their difference is 13. Find their product.

A. 99                                   B. 177

C. 255                                 D. 114

View Answer

Answer: Option D

Explanation:

Let the numbers be x and y.

Then, x + y = 25 and x - y = 13.

4xy = (x + y)2 - (x- y)2

= (25)2 - (13)2

= (625 - 169)

= 456

binduxy = 114.


5.) Thrice the square of a natural number decreased by 4 times the number is equal to 50 more than the number. The number is:

A. 4                                    B. 5

C. 6                                    D. 10

View Answer

Answer: Option B

Explanation:

Let the number be x

Then, 3x2 - 4x = x + 50

==>  3x2 - 5x-50 = 0

==>  (3x+10)(x-5)=0

==>   X = 5


 
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