Problems on Numbers Quiz Set 020

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Question 1

The sum of two numbers is 10. Their product is 9. One of the two numbers is?

 A

9.

 B

10.

 C

8.

 D

11.

Soln.
Ans: a

Let the numbers be $a$ and $10 - a$. We are given their product as a × (10 - a) = 9, which is a quadratic expression that can be simplified to $(a - 9) × (1 - a) = 0$. So the numbers could be 9 and 1.


Question 2

What is x in $2{19/x}$ × $1{10/17}$ = $3{2/5}$?

 A

135.

 B

136.

 C

134.

 D

137.

Soln.
Ans: a

We can see that $2{19/x}$ = ${17/5}$ × ${17/27}$. ⇒ ${2x + 19}/x$ = ${289/135}$ ⇒ x = 135.


Question 3

The difference between a two digit number and the one obtained by reversing its digits is 81. If one of the digits is 4, what is the other?

 A

Cannot exist.

 B

6.

 C

7.

 D

8.

Soln.
Ans: a

Let the numbers be a and b. ab = 10a + b, and ba = 10b + a. The difference is 10a + b - (10b + a) = 9(a - b). It is given that 9(a - b) = 81, ⇒ a - b = $81/9$ = 9, ⇒ the difference between the digits is 9. If one of the digits is 4, the other cannot be determined.


Question 4

How many odd numbers are there between -1570 and 2426?

 A

1998.

 B

1999.

 C

1997.

 D

2000.

Soln.
Ans: a

Odd numbers are in an AP. First term $a = -1569$, common difference $d = 2$, the last term $t_n$ is given as 2425. By the AP formula, $2425 = -1569 + (n - 1) × 2$ ⇒ $n = 1 + {{2425 - (-1569)}/2} = 1998$.


Question 5

The sum of three consecutive integer numbers is -96. The smallest of the three is?

 A

-33.

 B

-32.

 C

-30.

 D

-31.

Soln.
Ans: a

Let the numbers be n - 1, n and n + 1. The sum is 3n. We are given 3n = -96, ⇒ n = $-96/3$, i.e., n = -32. So the smallest is -33.


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This Blog Post/Article "Problems on Numbers Quiz Set 020" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-08-12.

Posted by Parveen(Hoven),
Aptitude Trainer


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