SSC CGL 2015 : QUANT QUIZ

1.If the sum of two numbers be multiplied by each number separately, the products so obtained are 247 and 114. The sum of the numbers is 

(a) 19 

(b) 20 

(c) 21 

(d) 23 

2.Find a number, one-seventh of which exceeds its eleventh part by 100. 

(a) 1925 

(b) 1825 

(c) 1540 

(d) 1340 

3.A can do a work in 12 days. When he had worked for 3 days, B joined him. If they complete the work in 3 more days, in how many days can B alone finish the work? 

(a) 6 days 

(b) 12 days  

(c) 4 days 

(d) 8 days

4.A and B can complete a piece of work in 8 days, B and C can do it in 12 days, C and A can do it in 8 days. A, B and C together can complete it in 

(a) 4 days 

(b) 5 days

(c) 6 days

(d) 7 days

5.The volume (in m^3) of rain water that can be collected from 1.5 hectares of ground in a rainfall of 5 cm is 

(a) 75 

(b) 750 

(c) 7500 

(d) 75000 

6.The perimeter of a triangle is 40cm and its area is 60 cm^2. If the largest side measures 17 cm, then the length (in cm) of the smallest side of the triangle is 

(a) 4 

(b) 6 

(c) 8 

(d) 15

7.What single discount is equivalent to two successive discounts of 20% and 15% ?

(a) 35% 

(b) 32% 

(c) 34% 

(d) 30% 

8.What number should be added to or subtracted from each term of the ratio 17 : 24 so that it becomes equal to 1 : 2? 

(a) 5 is subtracted 

(b) 10 is added 

(c) 7 is added 

(d) 10 is subtracted

9.If the selling price of 10 articles is equal to the cost price of 11 articles, then the gain percent is 

(a) 10 

(b) 11 

(c) 15 

(d) 25 

10.If 90%  of A = 30% of B and B = 2x% of A, then the value of x is 

(a) 450 

(b) 400 

(c) 300 

(d) 150 

ANSWERS AND SOLUTION:
1(A)Let the number be x and y
x(x+y)=247
and y(x+y)=114
=>x^2+xy=247 and xy+y^2=114
On adding
=>x^2+xy+xy+y^2=247+14
=>x^2+2xy+y^2=361
=>(x+y)^2=19^2=>x+y=19

2(A)
Let the number be x.
x/7-x/11 = 100
=>(11x-7x)/(11x7)=100
=> 4x = 77 x 100
=> x = 1925

3(A)
Let be alone do the work in x days.
6 x 1/12+3x1/x =1
=>1/2+3/x =1
=>3/x= 1/2=>x = 6 days

4(C)
(A+B)'s 1day's work=1/8
(B+C)'s 1day's work=1/12
(C+A)'s 1 day's work 1/8
On adding
2(A+B+C)'s 1day's work
=1/8+1/12+1/8=(3+2+3)/24
=8/24=1/3
so (A+B+C)'s 1day's work = 1/6
Hence,the work will be completed in 6days.

5(B)
1 hectare = 10000sq.m
Area of the ground =15000sq.m
so Required volume=15000x5/100=750cubic meter

6(C)
7(B)
Single equivalent discount =(x+y-xy/100)%
=(20+15-(20 x 15)/100)%=32%

8(D)
Let the number be x be added
(17+x)/(24+x)=1/2
=>34 + 2x = 24+x
=>2x-x = 24-34
=-10
Hence, 10 should be subtracted.

9(A)
10(D)