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

56.

If a sum of money double itself in 8 years, then the interest rate in percentage is

  • 8 1 half percent sign

  • 10%

  • 10 1 half percent sign

  • 12 1 half percent sign


D.

12 1 half percent sign

Let the principal be Rs. 100, Thus, Amount  would be Rs. 200

Interest = Amount - Principal = Rs. 200 - Rs. 100 = Rs. 100

straight S. straight I. space equals space fraction numerator straight P space cross times space straight R space cross times space 8 over denominator 100 end fraction
straight R space equals space 100 over 8 space equals space 25 over 2 space equals space 12 1 half percent sign

 

 

65 Views

51.

A and B undertake a piece of work for ₹ 250/-. A alone can do that work in 5 days and B alone can do that work in 15 days. With the help of C, they finish the work in 3 days. If everyone gets paid in proportion to work done by them, the amount C will get is:

  • ₹ 50/-

  • ₹ 100/-

  • ₹ 150/-

  • ₹ 200/-


A.

₹ 50/-

A's 1 day's work = 1 fifth

B's 1 day's work = 1 over 15

(A + B + C)'s 1 days work = 1 third

C's 1 day's work:

              equals space open square brackets 1 third minus open parentheses 1 fifth plus 1 over 15 close parentheses close square brackets
equals space open parentheses 1 third minus 4 over 15 close parentheses
equals space 1 over 15

Ratio of workdone by A, B and C:

equals space 1 fifth space colon space 1 over 15 space colon space 1 over 15
equals space 3 space colon space 1 space colon space 1

therefore space space straight C apostrophe straight s space amount
space space space equals space fraction numerator 1 over denominator left parenthesis 3 plus 1 plus 1 right parenthesis end fraction cross times 250 space equals space 1 fifth space cross times space 250 equals space space ₹ space 50 divided by negative

134 Views

58.

If straight x plus space 1 over straight x space equals space 3 comma then  straight x to the power of 8 space plus space 1 over straight x to the power of 8 is equal to

  • 2201

  • 2203

  • 2207

  • 2213


C.

2207

If straight x space plus space 1 over straight x space equals space straight a comma then straight x squared space plus space 1 over straight x squared space equals space straight a squared minus 2A

As straight x space plus space 1 over straight x space equals space 3 comma then straight x squared space plus space 1 over straight x squared space equals space left parenthesis 3 right parenthesis squared space minus space 2 space equals space 9 space minus space 2 space equals space 7

Similarly,

straight x to the power of 4 plus 1 over straight x to the power of 4 space equals space left parenthesis 7 right parenthesis squared minus 2 space equals space 49 space minus space 2 space equals space 47

Similarly,

straight x to the power of 8 space plus space 1 over straight x to the power of 8 space equals space left parenthesis 47 right parenthesis squared minus 2 space equals space 2209 minus 2 space equals space 2207

 

 

59 Views

59.

Points P, Q and R are on a circle such that angle PQR space equals space 40 degree and angle QRP space equals space 60 degree. Then the subtended angle by arc QR at the centre is:

  • 80°

  • 120°

  • 140°

  • 160°


D.

160°

Points P, Q and R are on a circle such that  and . Then

In ΔPQR,

 angle PQR space plus space angle QRP space plus space angle QPR space equals space 180 degree
space space space space 40 degree space plus space 60 degree space plus space angle QPR space equals space 180 degree
space space space space space space space space space space space space space space space space space space space space space space space space space space angle QPR space equals space 180 degree minus 100 degree space equals space 80 degree

 

The subtended angle (QOR) by arc OR at the centre

                   equals space 2 space angle QPR space equals space 2 space cross times space 80 degree space equals space 160 degree

95 Views

52.

Dealer purchased an article for ₹ 900/- and fixes the list price in such a way that he gains 20% after allowing 10% discount, then the list price is

  • ₹ 1,180/-

  • ₹ 1,080/-

  • ₹ 1,200/-

  • ₹ 1,100/-


C.

₹ 1,200/-

Let the marked price be ₹ x

We know that,

Marked space Price space equals space Cost space Price space open parentheses fraction numerator 100 space plus space Gain percent sign over denominator 100 minus Discount percent sign end fraction close parentheses

straight x space equals space 900 space cross times space open parentheses fraction numerator 100 space plus space 20 over denominator 100 minus 10 end fraction close parentheses
straight x space equals space 900 space cross times space 120 over 90
straight x space equals space 1 comma 200 space divided by negative

 

 

61 Views

55.

If the speed of a boat in still water is 20 km/hr and the speed of the current is 5 km/hr, then the time taken by the boat to travel 100 km with the current is

  • 2 hours

  • 3 hours

  • 4 hours

  • 7 hours


C.

4 hours

Distance  = 100 km

Speed of boat in still water = 20 km/hr

Speed of current  = 5 km/hr

Relative speed = (20 + 5)km/hr = 25 km/hr

Required Time

equals space open parentheses 100 over 25 close parentheses space equals space 4 space km divided by hr

 

 

123 Views

54.

In the last financial year, a car company sold 41800 cars. In this year, the target is to sell 51300 cars. By what percent must the sale be increased?

  • 11 9 over 22 percent sign

  • 8 9 over 22 percent sign

  • 8 11 over 25 percent sign

  • 22 8 over 11 percent sign


D.

22 8 over 11 percent sign

Required percentage

  equals space fraction numerator 51300 space minus space 41800 over denominator 41800 end fraction space cross times space 100
equals space 9500 over 418 space equals space 22 8 over 11 percent sign

90 Views

53.

Cost price of 28 articles is equal to Sale price of 21 articles, then percentage of profit is

  • 12%

  • 33 1 third percent sign

  • 20%

  • 22%


B.

33 1 third percent sign

Cost Price 28 = S.P. 21

Required Percentage

  equals space open parentheses Difference over Sold close parentheses space cross times space 100

equals space open parentheses fraction numerator 28 minus 21 over denominator 21 end fraction cross times space 100 close parentheses
equals space 33 1 third percent sign

60 Views

60.

The ratio of the angles of a triangle is 1 space colon space 2 over 3 space colon space 3. Then the smallest angle is:

  • 21 fraction numerator 4 degree over denominator 7 end fraction

  • 25 degree

  • 25 fraction numerator 5 degree over denominator 7 end fraction

  • 38 fraction numerator 4 degree over denominator 7 end fraction


C.

25 fraction numerator 5 degree over denominator 7 end fraction

Sum of angles of triangle  = 180°

Ratio = 3 : 2 : 9

∴   Smallest angle

       equals space open parentheses fraction numerator 2 over denominator 3 plus 2 plus 9 end fraction space cross times space 180 degree close parentheses
equals space open parentheses 2 over 14 cross times 180 degree close parentheses space equals fraction numerator 180 degree over denominator 7 end fraction space equals space 25 fraction numerator 5 degree over denominator 7 end fraction

46 Views

57.

If (x - 5)2 + (y - 2)2 + (z - 9)2  = 0, then value of (x + y - z) is

  • 16

  • -1

  • -2

  • 12


C.

-2

(x - 5)2 + (y - 2)2 + (z - 9)2 =  0

⟹  (x  - 5)2 = 0

            x - 5 =  0,    x = 5

Similarly, 

   y = 2,   z = 9

∴    x + y - z

    = (5 + 2 - 9) = 7 - 9 = -2

59 Views