Basic Simplification Quiz Set 012


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Question 1

What is 447 × 49?

 A

21903.

 B

21912.

 C

21894.

 D

21921.

Soln.
Ans: a

This is a multiplication by a number whose units place is 9. Proceed like this: 447 × 49 = 447 × (40 + 9) = 447 × (40 + 10 - 1) = (447 × 40) + (447 × 10) - 447 = 17880 + 4470 - 447 = 21903. The other approach could have been 447 × 49 = 447 × (50 - 1), etc.,


Question 2

A bag contains equal number of coins each of Rs. 1, 5 and 10. What is the total number of coins in the bag, if the total money is Rs. 432?

 A

81.

 B

27.

 C

79.

 D

85.

Soln.
Ans: a

Let there be N coins of each denomination. Then N × (1 + 5 + 10) = 432, which gives N = $432/16$, and 3N = 3 × $432/16$ = 81.


Question 3

The value of x for which the value of |8x - 32| is minimum is?

 A

4.

 B

6.

 C

10.

 D

8.

Soln.
Ans: a

The minimum value of |8x - 32| is 0. So 8x - 32 = 0, when x = 4.


Question 4

What is 561 × 9?

 A

5049.

 B

5058.

 C

5040.

 D

5067.

Soln.
Ans: a

This is a multiplication by 9. Proceed like this: 561 × 9 = 561 × (10 - 1) = 561 × 10 - 561 = 5610 - 561 = 5049. Sometimes, the options can be ruled out by examining the units places, but for simpler cases these shortcuts will help you save time overall.


Question 5

1/8 of a boy's score in Maths exceeds 1/22 of his score in English by 15 marks. What is his score in English, if his total score in English and Maths is 210?

 A

66 marks.

 B

68 marks.

 C

64 marks.

 D

70 marks.

Soln.
Ans: a

Let the score in English be E, then his score in math is 210 - E. We have also been given $(210 - E)/8 = E/22 + 15$. Solving for E, we get E = 66.


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This Blog Post/Article "Basic Simplification Quiz Set 012" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2020-02-07. Published on: 2016-05-13

Posted by Parveen(Hoven),
Aptitude Trainer


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