Problems on Numbers Quiz Set 016

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Question 1

How many odd numbers are there between -1690 and 2188?

 A

1939.

 B

1940.

 C

1938.

 D

1941.

Soln.
Ans: a

Odd numbers are in an AP. First term $a = -1689$, common difference $d = 2$, the last term $t_n$ is given as 2187. By the AP formula, $2187 = -1689 + (n - 1) × 2$ ⇒ $n = 1 + {{2187 - (-1689)}/2} = 1939$.


Question 2

x should be replaced by which minimum number so that 9961x95681 is completely divisible by 9?

 A

0.

 B

1.

 C

3.

 D

2.

Soln.
Ans: a

If the above number has to be divisible by 9, the sum of the digits, i.e., 9 + 9 + 6 + 1 + x + 9 + 5 + 6 + 8 + 1, should be divisible by 9. So we can see that $x + 54$ should be divisible by 9. By inspection, x = 0.


Question 3

The sum of two numbers is 11. Their product is 28. One of the two numbers is?

 A

7.

 B

8.

 C

6.

 D

9.

Soln.
Ans: a

Let the numbers be $a$ and $11 - a$. We are given their product as a × (11 - a) = 28, which is a quadratic expression that can be simplified to $(a - 7) × (4 - a) = 0$. So the numbers could be 7 and 4.


Question 4

If  $x/3 = y/17 = z/22$, then ${x + y + z}/x$ = ?

 A

14.

 B

15.

 C

13.

 D

$5{2/3}$.

Soln.
Ans: a

Let $x/3 = y/17 = z/22$ = k. Then ${x + y + z}/x$ is same as ${3k + 17k + 22k}/{3k}$ which equals 14.

14 is same as 14.


Question 5

What is the digit at units place: 7020 × 8374 × 4473?

 A

0.

 B

1.

 C

3.

 D

2.

Soln.
Ans: a

The digit at units place = (last digit of 7020) × (last digit of 8374) × (last digit of 4473) = 0 × 4 × 3 = 0, which = 0.


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Creative Commons License
This Blog Post/Article "Problems on Numbers Quiz Set 016" 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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