Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

x should be replaced by which minimum number so that 828517x265 is completely divisible by 9?

### 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

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?

### Question 4

The sum of three consecutive integer numbers is -96. The smallest of the three is?

### Question 5

The sum of two numbers is 25. Their difference is 19. They are in the ratio?

**A**

$7{1/3}$.

**B**

$12{1/2}$.

**C**

$6{1/3}$.

**D**

$6{1/5}$.

**Soln.**

**Ans: a**

Let the numbers be a and b, and let their ratio be k such that $a/b = k$. We are given $a + b = 25$ ⇒ $b(k + 1) = 25$. Similarly, from the difference we can obtain $b(k - 1) = 19$. Dividing we get ${k + 1}/{k - 1} = 25/19$. By componendo and dividendo, $k = {25 + 19}/{25 - 19}$ = ${22/3}$, which is same as: $7{1/3}$.

### More Chapters | See All...

Logarithms | Averages | Paper Folding | Square and Cube Roots | Cubes and Dice | Blood Relations | Ratio and Proportion | Statements and Conclusions | Venn Diagrams | Problems on Trains | More...

This Blog Post/Article "Problems on Numbers Quiz Set 014" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-04-07.