Math Chapter Wise

EnglishNVS PGT 2022

Q41.In how many ways can the number 5040 be resolved into two factors?

A12 B20 C30 D60

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EnglishKVS PGT 2022

Q42.If the angles of a triangle are in the ratio 3: 4: 5, then the value of greatest angle in radians is:

A5 12 π B2/π C2 3 π D3/π

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EnglishKVS PGT 2022

Q43.The difference of squares of the length and breadth of a rectangle is 180. The square of the length is 8 times the breadth. The measure of the breadth is:

A14 B18 C10 D12

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EnglishKVS PGT 2022

Q44.The largest side of a triangle is three times the shortest side and third side is 4 cm longer than the shortest side. If the perimeter of the triangle is more than 49 cm, then the minimum length of the shortest side is:

A11 B9 Cmote than 9 Dmore than 10

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EnglishKVS PGT 2022

Q45.If the side of a square changes from 3 m to 2.9 m, the approximate change in its area (in m2) is

A0.1 B0.6 C0.4 D0.8

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EnglishKVS PGT 2022

Q46.For a sphere, the rate of change of volume is:

Aπ times the rate of change of radius BSurface area times the rate of change of diameter CSurface area times the rate of change of radius D2π times the rate of change of radius

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EnglishKVS PGT 2022

Q47.If n is an odd positive integer, then an +bn is divisible by:

Aa2/+b2 Ba−b Ca+b D2a+b

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EnglishKVS PGT 2022

Q48.102n–1 +1∈N, is divisible by:

A9 B10 C8 D11

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EnglishKVS PGT 2022

Q49.The number of divisors and sum of divisors of the number 1800 are:

A24, 2820 B36, 6045 C30, 2015 D36, 3015

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EnglishOAVS TGT 2022

Q50.The value of n i j i 1 j 1 k 1 1 = ∑ ∑ ∑ is:

A2 n ∑ Bn/∑ C3 n ∑ D()() n n 1 n 2 6 + +

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EnglishOAVS TGT 2022

Q51.If the volume of a sphere is 8 times that of another sphere, then the ratio of their surface areas is:

A1: 4 B4: 1 C2: 1 D3: 1

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EnglishOAVS TGT 2022

Q52.A cuboid shaped slab of iron whose dimensions are 55 cm × 40 cm × 15 cm, is melted and recast into a pipe. If the outer diameter and thickness of the pipe is 8 cm and 1 cm, respectively, then the length of the pipe is:

A10 m B15 m C25 m D20 m

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EnglishOAVS TGT 2022

Q53.The area of the circle is 220 cm2, then the area of the square inscribed in it is:

A49 cm2 B150 cm2 C70 cm2 D140 cm2

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EnglishOAVS TGT 2022

Q54.Which of the following inequality is equivalent to a c 3b − < for all non-zero values of a, b and c?

Aa bc 3 − < Ba > –3bc Ca < –3b Da 3c b > −

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EnglishOAVS TGT 2022

Q55.If A (6, 3), B(3, 5)C(4, 2), P (α, β), then the ratio of the areas of the triangles PBC, ABC are:

A2:7 α +β + B:7 α +β C3 14: 7 α +β − D–:7 α β

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EnglishOAVS TGT 2022

Q56.The statement a = bq + r where 0 ≤ r ≤ b is:

APeono’s theorem BEuclid’s division lemma CFermat theorem DThe fundamental theorem

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EnglishOAVS TGT 2022

Q57.A student wrote exams on six question papers of maximum marks 100 each, one on English, two on Mathematics and three on Science. He got 95% in English, 90% in Mathematics and 80% in Science. What is her approximate overall percentage?

A83.5% B88.3% C85.8% D84.9%

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EnglishOAVS TGT 2022

Q58.If the sides of triangle are a = 3 cm, b = 4 cm, c = 5 cm, then its area is:

A8 cm2 B9 cm2 C6 cm2 D12 cm2

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EnglishOAVS TGT 2022

Q59.The greatest common divisor of (6, 35) is:

A35 B5 C6 D1

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EnglishOAVS TGT 2022

Q60.The area of the triangle formed by the points (0, 0); () () 2 x 6x a,0, 0, a is 5 1 2a units2 then x = _______.

A1 or –5 B–1 or 5 C–1 or –5 D1 or 5

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