Basic Simplification Quiz Set 008

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Question 1

1/15 of a boy's score in Maths exceeds 1/13 of his score in English by 19 marks. What is his score in English, if his total score in English and Maths is 509?

 A

104 marks.

 B

106 marks.

 C

102 marks.

 D

108 marks.

Soln.
Ans: a

Let the score in English be E, then his score in math is 509 - E. We have also been given $(509 - E)/15 = E/13 + 19$. Solving for E, we get E = 104.


Question 2

What is 180 × 99?

 A

17820.

 B

17829.

 C

17811.

 D

17838.

Soln.
Ans: a

This is a multiplication by a number that contains 9 only. Proceed like this: 180 × 99 = 180 × (100 - 1) = 180 × 100 - 180 = 18000 - 180 = 17820.


Question 3

What is xy if x - y = 2 and x2 + y2 = 312?

 A

154.

 B

156.

 C

152.

 D

158.

Soln.
Ans: a

We know that 2xy = (x2 + y2) - (x - y)2. Substituting, xy = ${312 - 2^2}/2$ = $308/2$ = 154.


Question 4

Cost of 1 kg of a metal is Rs. $43{1/2}$. What is the cost of ${86/87}$ kg?

 A

Rs. 43.

 B

Rs. 44.

 C

Rs. 42.

 D

Rs. 45.

Soln.
Ans: a

We have to find $43{1/2}$ × ${86/87}$, which can be written as ${87/2}$ × ${86/87}$, which simplifies to 86/2 = Rs. 43.


Question 5

The value of x for which the value of |4x - 24| is minimum is?

 A

6.

 B

8.

 C

4.

 D

10.

Soln.
Ans: a

The minimum value of |4x - 24| is 0. So 4x - 24 = 0, when x = 6.


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This Blog Post/Article "Basic Simplification Quiz Set 008" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2019-08-18.

Posted by Parveen(Hoven),
Aptitude Trainer


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