Problems on Numbers Quiz Set 005

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Question 1

15 times the middle of three consecutive even numbers is 150 more than 11 times the smallest of the three numbers. What is the middle number?

 A

32.

 B

33.

 C

31.

 D

34.

Soln.
Ans: a

This is the general solution. Let the numbers be 2n - 2, 2n and 2n + 2. We are given 15 × 2n = 150 + 11 × (2n - 2).
⇒ 15 × 2n = 150 + 11 × 2n - 11 × 2.
⇒ 2n × (15 - 11) = 150 - 11 × 2, so 2n = ${150 - 11 × 2}/{15 - 11} = 32$


Question 2

The sum of two numbers is 39. Their difference is 21. They are in the ratio?

 A

$3{1/3}$.

 B

$6{1/2}$.

 C

$2{1/3}$.

 D

$3{4/5}$.

Soln.
Ans: a

Let the numbers be a and b, and let their ratio be k such that $a/b = k$. We are given $a + b = 39$ ⇒ $b(k + 1) = 39$. Similarly, from the difference we can obtain $b(k - 1) = 21$. Dividing we get ${k + 1}/{k - 1} = 39/21$. By componendo and dividendo, $k = {39 + 21}/{39 - 21}$ = ${10/3}$, which is same as: $3{1/3}$.


Question 3

The sum of three consecutive even integer numbers is -2862. The middle among the three is?

 A

-954.

 B

-953.

 C

-951.

 D

-952.

Soln.
Ans: a

Let the numbers be 2n - 2, 2n and 2n + 2. The sum is 6n = 3 x 2n = 3 x middle. We are given 3 x middle = -2862, ⇒ middle = $-2862/3$, i.e., middle = -954.


Question 4

If $9/17$ of a number is 90, what is the number?

 A

170.

 B

171.

 C

169.

 D

172.

Soln.
Ans: a

Let the number be N. Then ${9/17}$ x N = 90. ⇒ N = 90 x ${17/9}$ = 170


Question 5

What is x in $3{113/x}$ × $3{1/13}$ = $11{5/7}$?

 A

140.

 B

141.

 C

139.

 D

142.

Soln.
Ans: a

We can see that $3{113/x}$ = ${82/7}$ × ${13/40}$. ⇒ ${3x + 113}/x$ = ${533/140}$ ⇒ x = 140.


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Creative Commons License
This Blog Post/Article "Problems on Numbers Quiz Set 005" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-06-22.

Posted by Parveen(Hoven),
Aptitude Trainer


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