SSC CGL 7th Dec 2022 Shift-1

Instructions

For the following questions answer them individually

Question 51

In $$\triangle$$ XYZ, $$\angle X=90^{\circ}$$, YZ= 15 cm, and XZ = 12 cm. Then find $$Cos Y$$.

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Question 52

What is the LCM of ($$8x^{3} + 80x^{2} + 200x$$) and ($$4x^{4} + 16x^{3} - 20x^{2}$$)?

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Question 53

25 men and 45 women can complete a piece of work in 15 days, while 15 men and 60 women can complete it in 20 days. In how many days can 69 men and 67 women complete the work?

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Question 54

In a 1500 m race, if vehicle P gives vehicle Q a start of 200 m, then vehicle P wins the race by 8 sec. Alternatively, if vehicle P gives vehicle Q a start of 400 m, the race ends in a dead heat. How long does vehicle P take to run 1500 m?

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Question 55

If $$\tan A - \tan B - \tan C = \tan A \tan B \tan C$$, what is the value of A in terms of B and C?

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Question 56

The table given below shows the budget allocation for education in five states in a year.


The budget allocation for education in state K is what percent of the budget allocation for education in state L?

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Question 57

If the diameter of a hemisphere is 35 cm, then what is the volume of hemisphere?

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Question 58

Wheat worth Rs.80 per kg and Rs.50 per kg is mixed with a third variety in the ratio 1∶2∶3 . If the mixture is worth Rs.75 per kg, then the price of the third variety per kg will be equal to:

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Question 59

The mean proportional of 6 and 54 is _______ more than 15.

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Question 60

The initial profit percentage on the sale of an item was 55%. If the cost price of the item went up by 24% but the selling price remained the same, what would be the new profit percentage?

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