The area of a triangle with vertices A(0, 8), O(0, 0) and B (5, 0

Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

51.

The radius of a sphere and right circular cylinder is 'r'. Their volumes are equal. The ratio of the height and radius of the cylinder is

  • 3 : 1

  • 2 : 1

  • 3 : 2

  • 4 : 3

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52.

When a discount of â‚¹ 42/- is allowed on the marked price of an article, the new reduced price becomes 86% of the original price. Find the marked price.

  • ₹ 250/-

  • ₹ 300/-

  • ₹ 350/-

  • ₹ 400/-

52 Views

53.

A merchant buys 25 litre of milk daily at the rate of â‚¹ 12 per litre. He mixes 5 litre of water in it and sells at the rate of â‚¹ 10.40 per litre. His gain/loss is

  • 8% profit

  • 2% profit

  • 4% profit

  • 6% profit

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54.

A man spends 15% of his income. If his expenditure is â‚¹ 75, his income in (₹ 75) is:

  • ₹ 400/-

  • ₹ 300/-

  • ₹ 750/-

  • ₹ 500/-

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55.

To cover a distance with a speed of 60 km/hr, a train takes 15 hours. If it covers the same distance in 12 hours, what will be its speed?

  • 65 km/hr

  • 70 km/hr

  • 75 km/hr

  • 80 km/hr

54 Views

56.

Sum of three consecutive integers is 51. The middle one is

  • 14

  • 15

  • 16

  • 17

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57.

If straight x space plus space 1 over straight x space equals space 5 comma then the value of fraction numerator 5 straight x over denominator straight x squared space plus space 5 straight x space plus space 1 end fraction is:

  • 1 third

  • 1 fourth

  • 1 half

  • 1 fifth

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58.

The point of intersection of all the three medians of a triangle is called its

  • Orthocentre

  • Incentre

  • Centroid

  • Circumcentre

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59.

The area of a triangle with vertices A(0, 8), O(0, 0) and B (5, 0) is

  • 8 sq units

  • 13 sq units

  • 20 sq units

  • 40 sq units


C.

20 sq units

x1y1 = (0, 8)
x2y2 = (0, 0)
x3y3 = (5, 0)
∴   Area of triangle:
     equals space 1 half open square brackets straight x subscript 1 left parenthesis straight y subscript 2 minus straight y subscript 3 right parenthesis space plus space straight x subscript 2 left parenthesis straight y subscript 3 space minus straight y subscript 1 right parenthesis space plus space straight x subscript 3 left parenthesis straight y subscript 1 minus straight y subscript 2 right parenthesis close square brackets
equals space 1 half open square brackets 0 left parenthesis 0 minus 0 right parenthesis space plus space 0 left parenthesis 0 minus 8 right parenthesis space plus space 5 left parenthesis 8 minus 0 right parenthesis close square brackets
equals space 1 half space cross times space open square brackets 0 plus 0 space plus space 40 close square brackets
equals space space 20 space sq space unit
   

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60.

The least number that must be subtracted from 1294 so that the remainder when divided by 9, 11, 13 will leave in each case the same remainder is 

  • 2

  • 3

  • 1

  • 4

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