If xy + yz + zx = 1,   then the value of  is

Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

51.

24 men can do a piece of work in 17 days. How many men will be able to do it in 51 days?

  • 8

  • 10

  • 12

  • 6

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52.

In a cyclic quadrilateral ABCD, the side AB is extended to a point X. If ∠XBC = 82° and ∠ADB = 47°, then the value of ∠BDC is

  • 40°

  • 35°

  • 30°

  • 25°

101 Views

53.

The marked price is 10% higher than the cost price. A discount of 10% is given to the marked price. In this kind of sale, the seller

  • bears no gain, no loss

  • gains

  • loses 1%

  • None of these

56 Views

54.

Two numbers whose sum is 84, can do be in the ratio:

  • 5 : 7

  • 13 : 8

  • 1 : 3

  • 3 : 2

59 Views

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55.

By selling cloth at Rs 9 per metre, a shopkeeper loses 10%. Find the rate at which it should be sold so as to earn profit of 15%

  • Rs. 11.20

  • Rs. 11.30

  • Rs. 11.40

  • Rs. 11.50

53 Views

56.

After selling 5% of a quantity of sugar, 5 kg of sugar remains. Find the total quantity of sugar?

  • 19 kg

  • 5 5 over 19 space kg

  • 100 kg

  • 95 kg

69 Views

57.

A train 110 m long is running with a speed of 60 km/h. In what time will it pass a man who is running at 6 km/h in the direction opposite to that in which the train is going?

  • 5 sec

  • 6 sec

  • 7 sec

  • 10 sec

55 Views

58.

If x = at2 and y = 2at then

  • x2 = 4ay

  • y2 = 4ax

  • x2 + y2 = a2

  • x2 - y2 = a2

46 Views

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59.

If xy + yz + zx = 1,   then the value of fraction numerator 1 plus straight y squared over denominator left parenthesis straight x plus straight y right parenthesis thin space left parenthesis straight y plus straight z right parenthesis end fraction is

  • 2

  • 3

  • 4

  • 1


D.

1

xy + yz + zx = 1 (given)
fraction numerator 1 plus straight y squared over denominator left parenthesis straight x plus straight y right parenthesis thin space left parenthesis straight y plus straight z right parenthesis end fraction
rightwards double arrow space space fraction numerator 1 plus straight y squared over denominator left parenthesis xy space plus space xz space plus space yz space plus straight y squared right parenthesis space end fraction
equals space fraction numerator 1 plus straight y squared over denominator 1 plus straight y squared end fraction space equals space 1

44 Views

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60.

If PQ and PR be the two tangents to a circle with centre O such that ∠QPR = 120°, then ∠POQ is

  • 90°

  • 45°

  • 30°

  • 60°

71 Views

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