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### Question 1

14 times the middle of three consecutive even numbers is 160 more than 11 times the smallest of the three numbers. What is the middle number?

### Question 2

If 1 of a number is 10, what is ${3/8}$ of that number?

### Question 3

What is x in $1{19/x}$ × $1{7/8}$ = $2{9/23}$?

### Question 4

The sum of three consecutive even integer numbers is 2556. The middle among the three is?

### Question 5

When a two digit number is reversed and added to itself we get 110. The product of the digits of that number is 21. What is the number?

**A**

73.

**B**

74.

**C**

72.

**D**

75.

**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 110 = 11 × (a + b) ⇒ $a + b = 110 / 11 = 10$, so the digits are $a$ and $10 - a$. We are given their product as a × (10 - a) = 21, which is a quadratic expression that can be simplified to $(a - 7) × (3 - a) = 0$. So the number could be 73 or 37.

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 2017-04-07.