Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

53.

The marked price of a ceiling fan is â‚¹ 1,200/- and the shopkeeper allows a discount of 5% on it. Then selling price of the fan is

  • ₹ 1,410

  • ₹ 1,400

  • ₹ 1,140

  • ₹ 1,104


C.

₹ 1,140

Selling price:
        equals space 1200 space cross times space 95 over 100
equals space ₹ space 1 comma 140 divided by negative

45 Views

58.

If a3 - b3 = 56  and a - b = 2, then what is the value of a2 + b?

  • 12

  • 20

  • 28

  • 32


B.

20

(a - b)3 = a3 - b3 - 3ab(a - b)
  (2)3 =   56 - 3ab(2)
   8 = 56 - 6ab
   6ab = 48
    ab = 8
(a - b)2 = a2 + b2 - 2ab
  (2)2   =  a2 + b2 - 2 x 8
   4     =  a2 + b2 - 16
∴  a2 + b2 = 20

164 Views

51.

A can do 1 third rd of a work in 5 days and B can do 2 over 5th of this work in 10 days. Both A and B, together can do the work in

  • 7 3 over 8 space days

  • 8 4 over 5 space days

  • 9 3 over 8 space days

  • 10 days


C.

9 3 over 8 space days

A can complete the work in 5 space cross times space 3 over 1 space equals space 15 space days
B can complete the work in10 space cross times space 5 over 2 space equals space 25 space days
∴    A and B together can finish the work in 
rightwards double arrow space space open parentheses fraction numerator straight A space cross times space straight B over denominator straight A space plus space straight B end fraction close parentheses space equals space open parentheses fraction numerator 15 space cross times space 25 over denominator 40 end fraction close parentheses space equals space 75 over 8 space equals space 9 3 over 8 space days

87 Views

54.

If 35% of A's income is equal to 25% of B's income, then the ratio of A's income to B's income is:

  • 7 : 5

  • 5 : 7

  • 4 : 7

  • 4 : 3


B.

5 : 7

straight A space cross times space 35 over 100 space equals space straight B space cross times space 25 over 100
space straight A over straight B space equals space 5 over 7
therefore space space straight A space colon space straight B space equals space 5 space colon space 7

130 Views

57.

At an average of 80 km/hr Shatabdi Express reaches Ranchi from Kolkata in 7 hours. Then the distance between Kolkata and Ranchi is:

  • 560 km

  • 506 km

  • 560 m

  • 650 m


A.

560 km

Distance  = Speed x Time
              =  80 km/hr x 7 hr
              = 560 km

61 Views

56.

6 1 fourth percent sign space of space 1600 space plus space 12 1 half percent sign space of space 800 space equals colon

  • 100

  • 200

  • 300

  • 400


B.

200

6 1 fourth percent sign space of space 1600 space plus space 12 1 half percent sign space of space 800 space equals space ?
25 over 4 space cross times space 1 over 100 space cross times space 1600 space plus space 25 over 2 space cross times space 1 over 100 space cross times space 800
equals space 100 space plus space 100 space equals space 200

56 Views

60.

X and Y are the mid-points of sides of AB and AC of ΔABC. If BC + XY = 12 units, then BC - XY is:

  • 8 units

  • 4 units

  • 6 units

  • 2 units


B.

4 units


As X and Y are the mid points of AB and AC respectively.
therefore space space XY space equals space 1 half BC space space space space space space space left square bracket By space mid minus point space theorem right square bracket
According to the question,
   BC + XY = 12
    BC space plus space BC over 2 space equals space 12
    2 BC space plus space BC space equals space 24
3 BC space equals space 24
BC space equals space 8 space unit
∴  XY = (8/2) = 4 unit
  BC - XY = 8 -  4 = 4 unit


 

62 Views

52.

The base area of a right pyramid is 57 sq units and height is 10 units. Then the volume of the pyramid is:

  • 190 c. units

  • 380 c. units

  • 540 c. units

  • 570 c. units


A.

190 c. units

Volume of pyramid:
                   equals space 1 third space cross times space Area space of space Base space cross times space Height
equals space 1 third space cross times space 57 space cross times space 10
equals space 190 space cubic space units

67 Views

59.

If x2 - 3x + 1 = 0,  left parenthesis straight x space not equal to space 0 right parenthesis comma then the value of straight x space plus space 1 over straight x is

  • 1

  • 0

  • 3

  • 2


C.

3

x2 - 3x + 1  = 0
x2 + 1  - 3x = 0
straight x open parentheses straight x space plus space 1 third close parentheses space minus space 3 space equals space 0
straight x open square brackets open parentheses straight x space plus space 1 over straight x close parentheses space minus space 3 close square brackets space equals space 0
open parentheses straight x space plus space 1 over straight x close parentheses minus 3 space equals space 0
therefore space space space space straight x space plus space 1 over straight x space equals space 3

52 Views

55.

A and B invest â‚¹ 3,000/- and â‚¹ 2,400/- respectively in a business. If after one year there is a loss of â‚¹ 720/-, how much loss will B bear? (Loss or profit in proportion to their investments)

  • ₹ 72/-

  • ₹ 320/-

  • ₹ 400/-

  • ₹ 360/-


B.

₹ 320/-

Ratio of losses of A and B = Ratio of investments of A and B
                                     = 3000 x 12 : 2400 x 12
                                     = 5 : 4
∴   B's loss: 
           equals space fraction numerator 4 over denominator left parenthesis 5 plus 4 right parenthesis end fraction space cross times space 720
equals space 4 over 9 space cross times space 720
equals space ₹ space 320 divided by negative

  

95 Views