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Quantitative Aptitude Quiz for SSC(Mixed): 18 March 2021

Updated Thu, 18 Mar 2021 05:49 PM IST
Source: Safalta
1. If the sum of a number and its reciprocal be 2, then the number is

a. 0
b. 1
c. -1
d. 2

Ans. 1
Explanation: Let the number is x. then-
x + 1/x = 2; => x2 – 2x + 1=0;
x= 1;

2.The price of a shirt after 15% discount, is Rs.119. What was the marked price of the shirt before discount
a. Rs.129
b. Rs.140
c. Rs.150
d. Rs.160

Ans. Rs.140

Explanation: Let the marked price of shirt= Rs. x;
85% of x = 119; => x= 119*100/85= 140.

3.The average of a,b,c is 20 and that of b,c,d is 25; if d=30, then the value of a is

a. 25
b. 45
c. 30
d. 15

Ans. 15
Explanation: a + b + c =60; ------ eq.(i)
b + c + d = 75; -------------- eq.(ii)
subtract eq.(i) from eq.(ii)-
a – d = -15; => a = 30-15=15;

4. A store sells a watch for a profit of 25% of the cost. Then the percentage of profit against selling price is

a. 22%
b. 20%
c. 18%
d. 15%

Ans. 20%
Explanation: Let CP of watch= Rs. x;
SP = 1.25x;
% profit= (SP-CP)*100/SP = 0.25x*100/1.25x = 20%.

5 .If A is equal to 20% of B and B is equal to 25% of C; then what percent of C is equal to A?

a. 10
b. 15
c. 5
d. 20

Ans. 5
Explanation: A = 0.20B; B = 0.25C;
A= 0.20*0.25 C = 0.5 C; Hence, A is 5% of C.

6 .A gun is fired at a distance of 1.7 km from Ram and he hears the sound after 25 seconds. The speed of sound in meter per second is

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a. 60
b. 62
c. 64
d. 68

Ans. 68
Explanation: Speed of sound= Distance traveled / traveling time of sound;
= 1.7*1000/25 = 68 seconds.

7. A sum of ₹ 3000 yields an interest of ₹ 1080 at 12% per annum simple interest in how many years ?

a. 4 Years
b. 3 Years
c. 5 years
d. 2½ Years

Ans. 3 Years
Explanation: SI = PRT/100;
Hence, T = 100*SI/PR = 100*1080/3000*12 = 3 years.

8. The area of the largest triangle that can be inscribed in a semicircle of radius 6m is

a. 36 m^2
b. 72 m^2
c. 18 m^2
d. 12 m^2

Ans. 36 m^2
Explanation: The maximum area of the inscribed triangle in semicircle= r*r = 6*6 = 36 sq. m.

9.Twenty women can do a work in sixteen days. Sixteen men can complete the same work in fifteen days. The ratio between the capacity of a man and a woman is

a. 3:4
b. 4:3
c. 5:3
d. 5:7

Ans. 4:3
Explanation: The efficiency of one women= 100/16*20= (5/16)%.
The efficiency of one man= 100/16*15 = (5/12)%;
Ratio (Man: Woman) = (5/12)/(5/16) = 4: 3.


10. The midpoints of AB and AC of a triangle ABC are X and Y respectively. If BC+XY=12 units, then BC-XY is

a. 10 units
b. 8 units
c. 6 units
d. 4 units

Ans. 4 units
Explanation: If the mid points of two sides of a triangle is merged, then BC||XY and XY= ½ BC.
By putting this value in the given equation, BC + ½ BC=12; => BC= 8 units and XY = 4 units.
Hence, BC –XY = 8-4= 4 units.

 

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