Quant Quiz For SSC Exam

1.  In
an examination P scored 25 marks less than Q. Q scored 45 more marks than R. T
scored 75 marks which is 10 more than R. U’s score is 80 less than maximum
marks of the test. What approximate percentage of marks did U score in the
examination if he gets 55 marks more than Raman?
(1)
90
                               
           
(2)
70
             
(3)
80                                
           
(4)
60   



           



2.  Two
pipes A and B can fill a tank independently in 10 hours and 15 hours
respectively, while pipe C can empty it in 30 hours. All pipes are kept open
for 6 hours after which pipes B and C are closed. In what time now onwards
would the tank get full?
(1)
6 hours
                       
           
(2)
2 hours      
(3)
2.5 hours
                                
(4)
3
hours                  

3.  The
largest and the smallest angles of a triangle are in the ratio of 3:1
respectively. The second largest angle of the triangle is equal to 56°. What is
the value of largest angle of the triangle?
(1)
49
                   
           
           
(2)
129
                       
(3)
123      
                       
           
(4)
93
             

4.  Fifteen
men take 21 days of 8 hours each to do a piece of work. How many days of 6
hours each would 21 women take if 3 women do as much work as 2 men?
(1)
20
                   
           
           
(2)
21              
(3)
25       
                       
             
(4)
30             

5. John
purchased an item for  Rs. 52,000 and sold it at loss of 25 percent. With
that amount he purchased another item and sold it at a gain of 40 percent. What
was his overall gain/loss ?
(1)
Loss of  Rs. 2600
                  
(2)
Profit of Rs. 2600
(3)
Loss of Rs.
6200                    
(4)
Profit of  Rs. 6200

6.  In a
school, there are 3600 students. The ratio of boys to girls is 4 : 5. If twenty
percent of the boys and sixty percent of the girls like to play hockey, then
how many students do not like to play hockey?
(1)
1520                
           
(2)
1250                      
(3)
2008                
           
(4) None of these

7.  The ratio
of the present ages of Sonu and Monu is 7: 6 respectively. Eight years ago the
respective ratio of their ages was 5 : 4. What will be Monu’s age four years
from now?
(1) 28 years
         
           
(2) 32 years    
(3) 24 years
         
           
(4) 30 years    

8. The sum of three
consecutive odd numbers is 20 more than the smallest number. What is the middle
number?
(1) 7
                     
           
(2) 9
               
(3) 11
                   
           
(4)
5                

9.  A invests
Rs. 24000 to start a business. Four months later B joins him by investing Rs.
31000 and after another two months C joins them by investing Rs. 40000. At the
end of one year the business earns a profit of Rs. 12028. What is C’s share in
the profit?
(1) Rs. 4464         
           
(2) Rs. 3844   
(3) Rs. 3720         
           
(4) Rs. 3270   

10. 2 men can complete a
piece of work in 6 days. 2 women can complete the same piece of work in 9 days,
whereas 3 children can complete the same piece of work in 8 days. 3 women and 4
children worked together for 1 day. If only men were to finish the remaining
work in 1 day, how many total men would be required?
(1) 4
                     
           
(2) 8
               
(3) 6                                  
(4) 2 
  
Answers
with Explanation:-

1.(4) Marks of T = 75
Marks of R = 65
Marks of Q = 110
Marks of P = 85
Marks of U = 120
Maximum marks = 200
Required percentage =
120/200 x 100 = 60%
2.(2)Let the capacity of the tank be 30 litres.
So Pipe A can fill 3
litre/hour, Pipe B can fill 2 litre/hour and Pipe C can empty 1 litre/hour.
Together they can fill
= 3 + 2 – 1 = 4 litre/hour
Tank filled in 6 hours
= 24 litres
Time to fill the
remaining tank by pipe A alone = 6/3 = 2 hours
3.(4)Let the largest and smallest angles be x and
3x. Now
x + 3x + 56 = 180
x = 31
largest angle = 93°.
4.(4)3W = 2M
21 W = 14 M
Let the required number
of days be x.
N1 D1 H1 = N2 D2 H2
15 X 21 X 8 = 14 X 6 X x
X = 30 days
5.(2)CP of first item = Rs. 52000
Selling price of second
item = 52000 x 0.75 x 1.4
His overall profit = 54600 – 52000 = 2600


6.    (4) 
Total Students in school = 3600
Number of boys = 4/9 x 3600 = 1600
Number of boys who like hockey = 20% of
1600 = 320
Number of girls = 2000
Number of girls who like hockey = 60% of
2000 = 1200
Number of students who do not like hockey
= (1600 – 320) + (2000 – 1200) = 2080 
7.    (1)
Let the present ages of Sonu and Monu be 7x and 6x. Now
7x – 8 /6x – 8 = 5/4
x = 4
Present age of Monu = 24 years
Monu’s age four years from now = 24 + 4 =
28 years
8.    (2)
 Let the numbers be x, x + 2 and x + 4. Then
x + (x + 2) + (x + 4) = x + 20
x = 7
So the middle number is 9.
9.    (3)
 The ratio of their investments = 24000 x 12: 31000 x 8 :
40000 x 6 = 36 : 31:30
Since the ratio of investment is also the
ratio of profit,
C’s share = 30/97 x 12028 = 3720
10.  (2) 
2 M x 6 = 2 W x 9 = 3 C x 8
2 M = 3 W = 4 C
The ratio of efficiency of man, woman and children =
1/2: 1/3: 1/4
 = 6: 4: 3
Let the work done by a man, a woman and a
children in one day be 6 units, 4 units and 3 units respectively.
So the total work to be done = 2x6x6 = 72
units
Work done by 3 women and 4 children in one
day = 3 x 4 + 4x 3 = 24 units
Remaining work = 72 – 24 = 48 units

Number
of men required to complete the remaining work in one day = 48/6 = 8

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