Math Chapter Wise

EnglishEMRS PGT-2023

Q01.In a G.P. consisting of positive terms, each term equals the sum of the next two terms. Then, the common ratio of this progression equals:

A() 1 5 1 2 − B() 1 1 5 2 − C1 5 2 D5

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EnglishEMRS PGT-2023

Q02.In an A.P.Sn denotes the sum of first n terms. If S2n = 3.Sn, then S3n: Sn is equal to:

A5: 1 B6: 1 C8: 1 D4: 1

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EnglishEMRS PGT-2023

Q03.The sum of first three terms of a GP is 21 4 are their product is 27 8. The common ratio of the G.P. is:

A2 of 1 2 B3 − of 1 3 − C2 − of 1 2 − D3 of 1 3

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EnglishBihar (TRE 2.0)-2023

Q04.The value of series 12 + 22 + 32 +... +p2 is

A() p p 1 2 + B()() p 2p 1 p 1 6 + − C()() p p 1 2p 1 6 + + DMore than one of the above ENone of the above

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EnglishBihar (TRE 2.0)-2023

Q05.If 1/(b + c), 1/(c + a) and 1/(a+ b) are in arithmetic progression, then

Aa, b, c are in arithmetic progression Ba2, b2, c 2 are in arithmetic progression C1/a, 1/b, 1/c are in arithmetic progression DMore than one of the above ENone of the above

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EnglishBihar (TRE 2.0)-2023

Q06.The first term of a geometric progression is 1. If the sum of the third term and fifth term is 90, then the common ratio of the geometric progression is

A3 B2 C1 DMore than one of the above ENone of the above

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EnglishBihar (TRE 2.0)-2023

Q07.Which term of the following sequence is 128? 2, 2 2, 4,...

A9th term B12th term C13th term DMore than one of the above ENone of the above

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EnglishBihar (TRE 2.0)-2023

Q08.If the arithmetic mean and geometric mean of the roots of a quadratic equation are 8 and 5, respectively, then the quadratic equation is

Ax2 - 13x + 40 = 0 Bx2 - 16x + 25 = 0 Cx2 - 13x + 25 = 0 DMore than one of the above ENone of the above

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EnglishEMRS TGT-2023

Q09.In an AP, Sn = qn2 and Sm = qm2, where Sr denotes the sum of first r terms of the AP, then Sq equals:

Amnq Bq3 C(m + n)q2 D3 q 2

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EnglishEMRS TGT-2023

Q10.If the roots of the equation x3 – 12x2 + 39x – 28 = 0 are in AP, then their common difference is:

A± 2 B± 3 C± 4 D± 1

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EnglishEMRS TGT-2023

Q11.If in an AP, the pth term is q and the (p+q)th term is 0 (zero), then the qth term is:

Ap Bp + q Cp – q D– p

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EnglishEMRS TGT-2023

Q12.The interior angles of a polygon are in arithmetic progression. The smallest angle is 120º and the common difference is 5º. The number of sides of the polygon is:

A9 B11 C16 D7

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EnglishKVS PGT 2023

Q13.The sum of two non-zero numbers is 6. The minimum value of sum of their reciprocals is:

A−2/3 B−3/2 C2/3 D3/2

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EnglishKVS PGT 2023

Q14.The first and last terms of an AP are 1 and 11. If the sum of the terms is 48, then the number of terms are:

A9 B7 C8 D6

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EnglishKVS PGT 2023

Q15.If second term of a G.P. is 2 and the sum of its infinite terms is 8, then the first term is:

A1/4 B2 C1/2 D4

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EnglishKVS PGT 2023

Q16.Let Sn denote the sum of first n elements of an AP. If S2n = 3 Sn' then S3n: Sn is equal to:

A4 B6 C8 D10

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EnglishKVS PGT 2023

Q17.If a, 4, b are in AP and a, 2, b are in GP, then a, 1, b are in:

AAP BGP CHP Dneither AP nor HP

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EnglishKVS PGT 2023 TGT 2010

Q18.If p, q, r are in A.P. and x, y, z are in G.P. then xq - r. yr - p. zp - q is:

A0 B1 C-1 D2

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EnglishNVS PGT 2022

Q19.The angles of a triangle are in A.P. and the largest angle is 75° °. The smallest angle is:

A55° B50° C45° D40°

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EnglishKVS PGT 2022

Q20.If the coefficients of second, third and fourth terms in the expansion of (1+x)n are in an A.P. Then the value of n?

A7 B11 C14 D3

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