Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

51.

A clock gains 15 minutes per day. If it is set right at 12 noon, the time it shows at 4 AM is

  • 4.20 AM

  • 4.30 AM

  • 4.02 AM

  • 4.10 AM


D.

4.10 AM

Total hours between 12 p.m. and 4 a.m. = 16 hours.
According to the question,
The clock is gaining in 24 hours  = 15 min
In 1 hour, the clock will gain = 15 over 24 min
 In 16 hours, the clock will gain  = 15 over 24 cross times 16
                                               = 10 min
Therefore, required time = 4.10 a.m.


698 Views

58.

If straight x space equals space 1 plus square root of 2 plus square root of 3 comma then the value of straight x squared minus 2 straight x minus 4 is:

  • square root of 6
  • 2 square root of 3
  • 3 square root of 2
  • 2 square root of 6

D.

2 square root of 6
straight x equals 1 plus square root of 2 plus square root of 3  
straight x squared minus 2 straight x minus 4 space equals space left parenthesis 1 plus square root of 2 plus square root of 3 right parenthesis squared minus 2 left parenthesis 1 plus square root of 2 plus square root of 3 right parenthesis minus 4
equals 1 plus 2 plus 3 plus 2 left parenthesis square root of 2 plus square root of 6 plus square root of 3 right parenthesis minus 2 left parenthesis 1 plus square root of 2 plus square root of 3 right parenthesis minus 4
equals space 6 plus 2 square root of 2 plus 2 square root of 6 plus 2 square root of 3 minus 2 minus 2 square root of 2 minus 2 square root of 3 minus 4
equals 2 square root of 6
186 Views

52.

A home theatre set is ₹ 4,950/-. If two successive discounts of 20% and 15% are given, then its selling price is

  • ₹3,336 /-

  • ₹6,633/-

  • ₹3,636/-

  • ₹6,363/-


A.

₹3,336 /-

Required selling price is :
          4950 cross times 80 over 100 cross times 85 over 100 = ₹3,336 /-

325 Views

53.

If 15% of x is three times of 10% of y, then x : y = ?

  • 1 : 2

  • 2 : 1

  • 3 : 2

  • 2 : 3


B.

2 : 1

According to the question,
              rightwards double arrow space space space space straight x space cross times space 15 over 100 space equals space 3 space cross times space straight y space cross times space 10 over 100
rightwards double arrow space space space space space space straight x over straight y space equals space 2 over 1

            x : y = 2 : 1

338 Views

60.

If increment ABC is an equilateral triangle of side 16 cm, then the length of altitude is

  • 2 square root of 3 space cm
  • 4 square root of 3 space cm
  • 8 square root of 3 space cm
  • 5 square root of 3 space cm

C.

8 square root of 3 space cm

Length of altitude of equilateral triangle  = fraction numerator square root of 3 over denominator 2 end fraction cross times space side
                                                        equals space fraction numerator square root of 3 over denominator 2 end fraction cross times 16
equals space 8 square root of 3 space cm

264 Views

59.

If fraction numerator left parenthesis straight a plus straight b right parenthesis over denominator square root of ab end fraction space equals 2 over 1 comma then the value of left parenthesis straight a minus straight b right parenthesis is:

  • 1

  • 0

  • -1

  • 2


B.

0

fraction numerator straight a plus straight b over denominator square root of ab end fraction equals 2 over 1
straight a plus straight b equals space space 2 square root of ab
We know that,
             left parenthesis straight a minus straight b right parenthesis squared space equals space left parenthesis straight a plus straight b right parenthesis squared minus 4 ab
left parenthesis straight a minus straight b right parenthesis squared space equals space left parenthesis 2 square root of ab right parenthesis squared minus 4 ab
rightwards double arrow         left parenthesis straight a minus straight b right parenthesis space equals space 4 ab minus 4 ab
rightwards double arrow         left parenthesis straight a minus straight b right parenthesis space equals space 0
172 Views

55.

20% of a man's salary is paid as rent, 60% are his living expenses and 10% are his savings. If he spends remaining ₹ 30 on the education of his children, find his salary

  • ₹ 300/-

  • ₹ 900/-

  • ₹ 3,000/-

  • ₹ 9,000 /-


A.

₹ 300/-

Remaining spending is (100 - 20 - 60 - 10)% = 10%
Now, 10% =  ₹ 30 
or   100% = ₹ 300/-
Therefore, his salary is ₹ 300/-

240 Views

54.

A bookseller bought 500 text books for ₹ 20,000. He wanted to sell them at a profit so that he get 50 books free. At what profit percent should he sell them?

  • 10%

  • 20%

  • 15%

  • 10.5%


A.

10%

C.P. of 500 books  = ₹ 20,000/-
C.P. of 50 books = 20000 over 500 cross times 50
                        = ₹ 2,000/-

therefore    S.P. of 500 books = ₹(20,000 + 2000)/- = ₹ 22000/-
Gain = ₹(22000 - 20000)/- = ₹ 2000/-
Gain% = fraction numerator Gain over denominator straight C. straight P. end fraction cross times 100
          = 2000 over 20000 cross times 100 = 10%

499 Views

56.

A gun is fired at a distance of 6.64 km away from Ram, He hears the sound 20 seconds later. Then the speed of sound is

  • 664 m/sec

  • 664 km/sec

  • 332 m/sec

  • 332 km/sec


C.

332 m/sec

Distance  = 6.64 km
              equals 664 over 100 cross times 1000 space equals space 6640 space straight m
therefore Required speed = Distance over Time space equals 6640 over 20 space equals space 332 space straight m divided by sec

650 Views

57.

The simple interest on ₹2,000/- for 2 years at ₹75 per thousand per annum will be

  • ₹150/-

  • ₹300/-

  • ₹600/-

  • ₹400/-


B.

₹300/-

Required interest = 2000 space cross times space 75 over 1000 cross times 2 space equals space ₹ space 300 divided by negative

259 Views