Problems on Numbers Quiz Set 001

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Question 1

When a two digit number is reversed and added to itself we get 143. The product of the digits of that number is 36. What is the number?

 A

49.

 B

50.

 C

48.

 D

51.

Soln.
Ans: a

Let the number be ab. When it is reversed and added to itself we get (10a + b) + (10b + a) = 11 × (a + b). We are given 143 = 11 × (a + b) ⇒ $a + b = 143 / 11 = 13$, so the digits are $a$ and $13 - a$. We are given their product as a × (13 - a) = 36, which is a quadratic expression that can be simplified to $(a - 4) × (9 - a) = 0$. So the number could be 49 or 94.


Question 2

If  $x/2 = y/19 = z/28$, then ${x + y + z}/x$ = ?

 A

$24{1/2}$.

 B

$25{1/2}$.

 C

$23{1/2}$.

 D

$13{3/4}$.

Soln.
Ans: a

Let $x/2 = y/19 = z/28$ = k. Then ${x + y + z}/x$ is same as ${2k + 19k + 28k}/{2k}$ which equals $24{1/2}$.

${49/2}$ is same as $24{1/2}$.


Question 3

The sum of three consecutive integer numbers is 1014. The smallest of the three is?

 A

337.

 B

338.

 C

336.

 D

339.

Soln.
Ans: a

Let the numbers be n - 1, n and n + 1. The sum is 3n. We are given 3n = 1014, ⇒ n = $1014/3$, i.e., n = 338. So the smallest is 337.


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

The sum of two numbers is 30. Their product is 161. One of the two numbers is?

 A

23.

 B

24.

 C

22.

 D

25.

Soln.
Ans: a

Let the numbers be $a$ and $30 - a$. We are given their product as a × (30 - a) = 161, which is a quadratic expression that can be simplified to $(a - 23) × (7 - a) = 0$. So the numbers could be 23 and 7.


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This Blog Post/Article "Problems on Numbers Quiz Set 001" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-05-17.

Posted by Parveen(Hoven),
Aptitude Trainer


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