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

9.

A wall clock gains 2 minutes in 12 hours, while a table clock loses 2 minutes every 36 hours. Both are set right at 12 noon on Tuesday. The correct time when both show the same time next would be

  • 12.30 at night, after 130 days

  • 12 noon, after 135 days

  • 1.30 at night, after 130 days
  • 12 midnight, after 135 days


B.

12 noon, after 135 days

A wall clock gains 2 min in every 12 hours, so it would gain 6 min in 36 hours.
and table clock losses two minutes in every 36 hours.
So, in every 36 hours they difference between them is 8 min.
They will be at the same time when the difference between them is 12 hours.
Hence, 8  min = 36 hours
So, 1 min difference = 36 over 8
Or 12 x 60 min difference in open parentheses 36 over 8 cross times 12 space cross times space 60 space equals space 3240 space hours close parentheses
or  3240 hours is 135 days.
Hence both clocks will show same time at 12 noon after 135 days.

1093 Views

7.

There are five bells which start ringing together at intervals of 3, 6, 9, 12 and 15 seconds respectively. In 36 minutes, how many times will the bells ring simultaneously?

  • 13

  • 12

  • 6

  • 5


A.

13

L.C.M. of 3, 6, 9, 12 and 15 = 180 seconds
∴   Bells will ring together after every 180 seconds
∴  Required answer
   equals space fraction numerator 36 space cross times space 60 over denominator 180 end fraction space plus space 1 space equals space 12 space plus space 1 space equals space 13


513 Views

2.

Insert the missing number
3, 18, 12, 72, 66, 396 ?

  • 300

  • 380

  • 350

  • 390


D.

390

3 x 6 = 18
18 - 6 = 12
12 x 6 = 72
72 - 6 = 66
66 x 6 = 396
396 - 6 = 390

156 Views

3. 2 cube root of 40 space minus space 4 cube root of 320 space plus space 3 cube root of 625 space minus space 3 cube root of 5 is equal to
  • negative 2 cube root of 340
  • 0

  • cube root of 340
  • cube root of 660

B.

0

2. cube root of 40 space equals space 2. space cube root of 2 space cross times space 2 space cross times space 2 space cross times space 5 end root space equals space 4 cube root of 5
4. cube root of 320
space equals space 4. space cube root of 2 cross times 2 cross times 2 cross times 2 cross times 2 cross times 2 cross times 5 end root space equals space 16. space cube root of 5
equals space 3. space cube root of 625
equals space 3. space cube root of 5 space cross times space 5 space cross times space 5 space cross times space 5 end root space equals space 15. space cube root of 5
∴   Expression 
 equals space 4. cube root of 5 space minus space 16. cube root of 5 space plus space 15. space cube root of 5 space minus space 3. cube root of 5
equals space 19. cube root of 5 space minus space 19. cube root of 5 space equals space 0
 
180 Views

5.

In four consecutive prime numbers that are in ascending order, the product of the first three is 385 and that of the last three is 1001. The largest given prime number is

  • 11

  • 13

  • 17

  • 19


B.

13

Let the four consecutive prime numbers be a, b, c and d where a < b < c < d.
∴    abc = 385  and bcd = 1001
∴     HCF = bc
       (H.C.F. of 385 and 1001 is 77)  
     ∴  bc = 77
    ∵   bcd = 1001
      because space space straight d space equals space bcd over bc space equals space 1001 over 77 space equals space 13


212 Views

10.

A and B started a business by investing ₹ 3,50,000 and ₹ 1,40,000 respectively. A gets 20% of the yearly profit for managing the business. Thereafter the profit is divided in the ratio of the capital. If A receives totally ₹ 38,000 more than B at the end of a year, then the profit is

  • ₹ 28,000

  • ₹ 2,80,000

  • ₹ 1,05,000

  • ₹ 70,000


D.

₹ 70,000

Let the total profit be Rs. x
Now, A gets 20% profit for managing business = open parentheses 20 over 100 cross times space straight x space equals space straight x over 5 close parentheses
Remaining profit = open parentheses straight x minus straight x over 5 space equals space fraction numerator 4 straight x over denominator 5 end fraction close parentheses
Thereafter, remaining profit will be distributed in the profit sharing ratio.
i.e. (350000 : 140000) = 5 : 2

∴  A's total share =open parentheses straight x over 5 space plus space open parentheses 5 over 7 cross times fraction numerator 4 straight x over denominator 5 end fraction close parentheses close parentheses space equals space Rs. space fraction numerator 27 straight x over denominator 35 end fraction space space space space... left parenthesis straight i right parenthesis
straight B apostrophe straight s space share space equals space 2 over 7 space cross times space fraction numerator 4 straight x over denominator 5 end fraction space equals space Rs. space fraction numerator 8 straight x over denominator 35 end fraction space space space... left parenthesis ii right parenthesis
∴   Difference
    (i) - (ii) = 38000
rightwards double arrow space space fraction numerator 27 straight x over denominator 35 end fraction space minus space fraction numerator 8 straight x over denominator 35 end fraction space equals space 38000
rightwards double arrow space space space fraction numerator 19 straight x over denominator 35 end fraction space equals space 38000
rightwards double arrow space space straight x space equals space fraction numerator 38000 space cross times space 35 over denominator 19 end fraction space equals space ₹ space 70000


 

625 Views

1.

If a3b = abc  = 180,  a, b, c are positive integers, then the value of c is

  • 110

  • 1

  • 4

  • 25


B.

1

a3b = abc = 180
⟹ a2b = bc,   ⟹   a2 = c

Go by the option take c = 1, 12 = 1
then abc = 180
12 x 180 x 1 = 180
1054 Views

4.

The sum of 112 + 122 + .......+212 = ? 

  • 2926

  • 3017

  • 3215

  • 3311


A.

2926

1 squared space plus space 2 squared space plus space 3 squared plus space...... plus straight n squared space equals space fraction numerator straight n left parenthesis straight n plus 1 right parenthesis thin space left parenthesis 2 straight n plus 1 right parenthesis over denominator 6 end fraction
therefore space space space 11 squared space plus space 12 squared space plus space..... plus 21 squared
equals space left parenthesis 1 squared space plus space 2 squared space plus space 3 squared space plus space.... plus 21 squared right parenthesis space space minus space left parenthesis 1 squared space plus space 2 squared space plus....... plus 10 squared right parenthesis

equals space fraction numerator 21 left parenthesis 21 plus 1 right parenthesis thin space left parenthesis 42 plus 1 right parenthesis over denominator 6 end fraction space minus space fraction numerator 10 space left parenthesis 10 plus 1 right parenthesis thin space left parenthesis 20 plus 1 right parenthesis over denominator 6 end fraction
equals space fraction numerator 21 space cross times space 22 space cross times space 43 over denominator 6 end fraction space minus space fraction numerator 10 space cross times space 11 space cross times space 21 over denominator 6 end fraction space equals space 3311 space minus space 385 space equals space 2926
182 Views

8.

n is a whole number which when divided by 4 gives the remainder 3. The remainder when 2n is divided by 4 is

  • 1

  • 2

  • 3

  • 0


B.

2

Shortcut Method:
Twice the remainder and then divided by 4
i.e. (2 x 3) = 6/4 = 2
Hence, 2 is the required remainder.
169 Views

6.

H.C.F. of 2 over 3 comma space space 4 over 5 space and space space 6 over 7 is

  • 48 over 105
  • 2 over 105
  • 1 over 105
  • 24 over 105

B.

2 over 105

H.C.F. of 2 over 3 comma space 4 over 5 space and space 6 over 7

equals space fraction numerator straight H. straight C. straight F. space of space 2 comma space 4 space and space 6 over denominator straight L. straight C. straight M. space of space 3 comma space 5 space and space 7 end fraction
equals space 2 over 105

216 Views