Subject

Quantitative Aptitude

Class

SSCCGL Class 12

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.

 Multiple Choice QuestionsMultiple Choice Questions

53.

If 10% loss is made on selling price, then the rate of loss on the cost price will be

  • 11 1 over 9 percent sign

  • 9 1 over 11 percent sign

  • 10%

  • 11%


A.

11 1 over 9 percent sign

Loss on S.P. = 10% equals space 10 over 100 space equals space 1 over 10
Loss on C.P.  = fraction numerator 1 over denominator 10 plus 1 end fraction space equals space 1 over 11 cross times 100 space equals space 11 1 over 9 percent sign

   

 

62 Views

51.

The ratio of working of A and B are in the ratio of 2 :  3. The number of days taken by them to finish the work in the ratio:

  • 2 : 3

  • 4 : 9

  • 3 : 2

  • 9 : 4


C.

3 : 2

Rati of working is the vice-versa of ratio of no of days. Therefore, required ratio = 3 : 2.

99 Views

55.

Sound travels at 330 m/sec. The distance (in km) of a thunder cloud when its sound follows the flash after 10 sec is

  • 0.33 km

  • 3.3 km

  • 33 km

  • 33.3 km


B.

3.3 km

Speed = 330 m/sec
time = 10 sec
Distance  = Speed x Time
                     =  330 x 10 = 3300 m = (3300/1000) = 3.3 km/hr

97 Views

52.

The ratio of two positive numbers is 3 : 4. The sum of their squares is 400. What is the sum of the numbers?

  • 28

  • 22

  • 24

  • 26


A.

28

Let the first number = 3x

 Second number = 4x

According to the question,

(3x)2 +  (4x)2 = 400

 9x2 + 16x2 = 400

           25x2 = 400

           rightwards double arrow space space straight x squared space equals space 400 over 25 space equals space 16
rightwards double arrow space space space straight x space equals space 4

∴   Required sum = 3x + 4x = 7x = 7 x 4 = 28

118 Views

54.

If "basis points" are defined so that 1 percent is equal to 100 basis points, then by how many basis points is 82.5 percent greater than 62.5 percent?

  • 0.2%

  • 20%

  • 200%

  • 2000%


D.

2000%

(82.5 - 62.5)% = 20%
1% = 100 basis points
∴  20% = open parentheses 100 over 1 space cross times space 20 close parentheses space equals space 2000

 

 

58 Views

58.

The third proportional of the following numbers (x - y)2,  (x2 - y2)2 is:

  • (x + y)3 (x - y)2

  • (x + y)4 (x - y)2

  • (x + y)2 (x - y)2

  • (x + y)2 (x - y)3


B.

(x + y)4 (x - y)2

Let a = (x - y)2 = 1st Proprotion,   b=  (x2 - y2)2 = 2nd Proportion,

Now C = Third proprotion = straight b squared over straight a

                                  equals space fraction numerator open curly brackets open parentheses straight x squared minus straight y squared close parentheses squared close curly brackets squared over denominator left parenthesis straight x minus straight y right parenthesis squared end fraction
equals space open square brackets fraction numerator left parenthesis straight x squared minus straight y squared right parenthesis to the power of 4 over denominator left parenthesis straight x minus straight y right parenthesis squared end fraction close square brackets space equals space fraction numerator left parenthesis straight x minus straight y right parenthesis to the power of 4 thin space left parenthesis straight x plus straight y right parenthesis to the power of 4 over denominator left parenthesis straight x minus straight y right parenthesis squared end fraction
therefore space space straight c space equals space left parenthesis straight x plus straight y right parenthesis to the power of 4 space left parenthesis straight x minus straight y right parenthesis squared

 

    

110 Views

59.

Two circles touch each other externally. The distance between their centres is 7 cm. If the radius of one circle is 4 cm, then the radius of the other circle will be

  • 3 cm

  • 4 cm

  • 5.5 cm

  • 3.5 cm


A.

3 cm

Distance between the centre is 7 cm.
Radius of one circle (r1) = 4 cm
Radius of second circle (r2) = 7 - 4 =  3cm

 

95 Views

56.

For what sum will the simple interest at R% for R years will be R?

  • fraction numerator 100 over denominator 2 straight R end fraction

  • 50 over straight R

  • 100 over straight R

  • 200 over straight R


C.

100 over straight R

Let the sum be P.
According to the question,
straight S. straight I. space equals space fraction numerator straight P space cross times space straight R space cross times straight T over denominator 100 end fraction
space space space space straight R space equals space fraction numerator straight P space cross times space straight R space cross times space straight R over denominator 100 end fraction
space space space space space straight P space equals space 100 over straight R

 

71 Views

57.

If straight p squared space plus space 1 over straight p squared space equals space 47 comma then value of straight p plus 1 over straight p is

  • 5

  • 6

  • 7

  • 8


C.

7

straight p squared space plus space 1 over straight p squared space equals space 47

open parentheses straight p space plus space 1 over straight p close parentheses squared space equals space straight p squared space plus space 1 over straight p squared plus 2
open parentheses straight p space plus space 1 over straight p close parentheses squared space equals space 47 space plus space 2
open parentheses straight p space plus space 1 over straight p close parentheses squared space equals space 49
straight p space plus space 1 over straight p space equals space 7

50 Views

60.

Let ΔABC and ΔABD be on the same base AB and between the same parallels AB and CD. Then the relation between areas of Δ ABC and Δ ABD will be

  • increment ABD space equals space 1 third increment ABC

  • increment ABD space equals space 1 half increment ABC

  • increment ABC space equals space 1 half increment ABD

  • increment ABC space equals space increment ABD


D.

increment ABC space equals space increment ABD

As we all know that, Triangles on the same base and between same parallels are always equal in area
∴  ΔABC = ΔABD

95 Views