


1 . 
A bag contains 50 p, 25 p and 10 p coins in the ratio 5 : 9 : 4, amounting to Rs.206.
Find the number of coins of each type respectively. 
A. 200, 305, 106 
B. 210, 350, 148 
C. 200, 360, 160 
D. 200, 160, 180 


2 . 
The ratio of length to width of a rectangular sheet of paper is 5 : 3. If the width of
the sheet is 18 cm, find its length? 
A. 10 cm 
B. 20 cm 
C. 25 cm 
D. 30 cm 


3 . 
The ratio between the number of men and women in an office is 5 : 7. If the number
of women working in the office is 56. Find the number of men working in the
office? 


4 . 
If (a + b) : (a  b) = 15 : 1, then the value of $a^
2$
 $b^
2$
is : 


5 . 
The students in three classes are in the ratio of 2 : 3 : 4. If 40 students are added in
each class, the ratio becomes 4 : 5 : 6. Find the total number of students in all the
three classes is : 
A. 270 
B. 180 
C. 126 
D. 135 


6 . 
Two equal containers are filled with the mixture of milk and water. The
concentration of milk in each of the container is 20% and 25% respectively. What is
the ratio of water in both the containers respectively? 
A. 15:16 
B. 16:15 
C. 4:5 
D. 5:4 


7 . 
A camel pursue an elephant and takes 5 leaps for every 7 leaps of the elephant, but
5 leaps of elephant are equal to 3 leaps of camel. What is the ratio of speeds of
camel and elephant? 
A. 21:25 
B. 24:23 
C. 25:21 
D. 23:24 


8 . 
The age of Sachin is 4 times that of his son. Five years ago Sachin was nine times as
old as his son was at that time. The present age of the Sachin is : 
A. 25 years 
B. 36 years 
C. 32 years 
D. 48 years 


9 . 
Bhanu and Shafeeq started a business by investing Rs.36,000 and Rs.63,000. Find
the share of each respectively, out of an annual profit of Rs.5500. 
A. 2000,5500 
B. 2500,4500 
C. 3000,4000 
D. 2000,3500 


10 . 
If A : B = 3 : 4 and B : C = 8 : 9, then A : C is : 
A. 1:3 
B. 3:2 
C. 2:3 
D. 1:2 





Answers & Solutions


1 .

Answer : Option
C

Explanation : 
Let the number of 50 p, 25 p and 10 p coins be 5x, 9x and 4x respectively.
Then, $5x\over2$+$9x\over4$+$4x\over10$ = 206
$50x+45x+8x=4120$
$103x=4120$
$x=40$
Number of 50 p coins = (5 × 40) = 200; number of 25 p coins = (9 × 40) = 360;
number of 10 p coins = (4 × 40) = 160 


2 .

Answer : Option
D

Explanation : 
Let the length of sheet of paper be x cm. Then the ratio of length to width = x : 18
Thus, x : 18 = 5 : 3
x × 3 = 18 × 5
x = 30
Hence the length of paper = 30 cm 


3 .

Answer : Option
A

Explanation : 
5 : 7 = x : 56 (suppose number of men = x)
x = 40 (by the first property)
Therefore, number of men in the office = 40 


4 .

Answer : Option
B

Explanation : 
$(a+b)\over(ab)$=$15\over1$
$a\over b$ = $8\over7$ (by compnendo and dividend)
Therefore, $a^
2$
 $b^
2$ = 6449 = 15 


5 .

Answer : Option
B

Explanation : 
2x + 40 = 4y … (i)
3x + 40 = 5y …. (ii)
4x + 40 = 6y ….. (iii)
Therefore 2x = 40
x = 20
Hence, total number of students = 2x + 3x + 4x = 9x
= 9 × 20 = 180 


6 .

Answer : Option
B

Explanation : 
Milk $\,\,\,\,\,$ 20% $\,\,\,\,\,$ 25%
Water $\,\,\,$ 80% $\,\,\,\,$ 75%
Therefore, required ratio =$80\over75$=$16\over15$ or 16:15 


7 .

Answer : Option
C

Explanation : 
Ratio of speed of camel and elephant = $5\over3$:$7\over5$=$5\over3$$\times$15:$7\over5$$\times$15=25:21 


8 .

Answer : Option
C

Explanation : 
Let the age of son is x years, then the age of Sachin will be 4x years.
So, (4x  5) = 9 (x  5)  x = 8
So, age of Sachin is 32 years. 


9 .

Answer : Option
D

Explanation : 
Ratio of shares of Bhanu and Shafeeq = 36000 : 63000 = 4 : 7
So, Share of Bhanu = 5500 × $4\over11$ = Rs.2000
And share of Shafeeq = 5500 x $7\over11$ = Rs.3500 


10 .

Answer : Option
C

Explanation : 
[$A\over B$ = $3\over 4$, $B\over C$=$8\over 9$]
$A\over C$= [$A\over B$$\times$$B\over C$] = [$3\over 4$$\times$$8\over 9$] = $2\over 3$
A:C = 2:3 









