SSC CGL Tier-2 29th January 2022 Maths

Instructions

For the following questions answer them individually

Question 21

A covered a distance of 240 km at a certain speed. Had his speed been 8 km/h less, then the time taken would have been one hour more for covering the same distance. How much time (in hours) will he take to cover a distance of 480 km at his original speed?

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Question 22

If $$1 + 2\tan^{2}\theta+2\sin\theta\sec^{2}\theta=\frac{a}{b},0^\circ < \theta < 90^\circ$$, then $$\frac{a+b}{a-b}=$$?

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Question 23

A sum of money becomes ₹11,880 after 4 years and ₹17,820 after 6 years on compound interest, if the interest is compounded annually. What is the half of the sum (in ₹)?

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Question 24

The radius of a spherical balloon is inflated from 3.5 cm to 4.9 cm by pushing air into it. What is the percentage increase in the volume of the original balloon?

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Question 25

The numbers of students in section A and section B of a class are 50 and 62, respectively. The average score in mathematics of all the students is 75. If the average score of students in section A is 20% more than that of students in section B, then what is the average score of students in section A (correct to one decimal place)?

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Question 26

If the sum of 40% of a number and 30% of the same number is 70, then the number is:

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Question 27

A solid metallic cuboid of dimensions 12 cm $$\times$$ 54 cm $$\times$$ 72 cm is melted and converted into 8 cubes of the same size. What is the sum of the lateral surface areas (in $$cm^{2}$$) of 2 such cubes?

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Question 28

ABCD is a quadrilateral in which AB $$\parallel$$ DC. E and F are the midpoints of the diagonals AC and BD, respectively. If AB = 18 cm and CD = 6 cm, EF = ?

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Question 29

A sum of ₹46,800 is divided among A, B, C and D in such a way that the ratio of the combined share of A and D to the combined share of B and C is 8 : 5. The ratio of the share of B to that of C is 5 : 4. A receives ₹18,400. If x is the difference between the shares of A and B and y is the difference between the shares of C and D, then what is the value of (x - y) (in ₹)?

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Question 30

A person marks an article 36% above the cost price and offers 30% discount on the marked price.
What is the loss or gain percentage?

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