Problems on Numbers Quiz Set 002

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Question 1

If $3/17$ of a number is 9, what is the number?

 A

51.

 B

52.

 C

50.

 D

53.

Soln.
Ans: a

Let the number be N. Then ${3/17}$ x N = 9. ⇒ N = 9 x ${17/3}$ = 51


Question 2

The sum of two numbers is 18. Their difference is 8. They are in the ratio?

 A

$2{3/5}$.

 B

$4{1/2}$.

 C

$1{1/7}$.

 D

4.

Soln.
Ans: a

Let the numbers be a and b, and let their ratio be k such that $a/b = k$. We are given $a + b = 18$ ⇒ $b(k + 1) = 18$. Similarly, from the difference we can obtain $b(k - 1) = 8$. Dividing we get ${k + 1}/{k - 1} = 18/8$. By componendo and dividendo, $k = {18 + 8}/{18 - 8}$ = ${13/5}$, which is same as: $2{3/5}$.


Question 3

The sum of three consecutive odd integer numbers is -2445. The middle among the three is?

 A

-815.

 B

-814.

 C

-812.

 D

-813.

Soln.
Ans: a

Let the numbers be 2n - 3, 2n - 1 and 2n + 1. The sum is 3(2n - 1) = 3 x middle. We are given 3 x middle = -2445, ⇒ middle = $-2445/3$, i.e., middle = -815.


Question 4

x should be replaced by which minimum number so that 77x7533423 is completely divisible by 3?

 A

1.

 B

2.

 C

4.

 D

3.

Soln.
Ans: a

If the above number has to be divisible by 3, the sum of the digits, i.e., 7 + 7 + x + 7 + 5 + 3 + 3 + 4 + 2 + 3, should be divisible by 3. So we can see that $x + 41$ should be divisible by 3. By inspection, x = 1.


Question 5

How many odd numbers are there between -1386 and 814?

 A

1100.

 B

1101.

 C

1099.

 D

1102.

Soln.
Ans: a

Odd numbers are in an AP. First term $a = -1385$, common difference $d = 2$, the last term $t_n$ is given as 813. By the AP formula, $813 = -1385 + (n - 1) × 2$ ⇒ $n = 1 + {{813 - (-1385)}/2} = 1100$.


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This Blog Post/Article "Problems on Numbers Quiz Set 002" 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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