Math Chapter Wise

EnglishKVS PGT 2023 TGT 2010

Q401.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

Q402.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

Q403.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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EnglishKVS PGT 2022

Q404.The sum of n terms of two AP are in the ratio (3n+8): (7n+15). The ratio of their 12th term is:

A4: 9 B3: 7 C9: 16 D7: 16

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EnglishKVS PGT 2022

Q405.The value of 1 1 1 3 9 27 9.9.9 ……up to ∞ ∞ ∞, is:

A1 B9 C3 D81

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EnglishKVS PGT 2022

Q406.The total number of ancestors, i.e. parents, grandparents, great grandparents and so on, that a person has during the ten generations preceding his own is:

A2048 B1024 C1022 D2046

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EnglishKVS PGT 2022

Q407.In an HP the fourth term is two times the eighth term. The first term of the HP will be:

ATwo times the third term BFour times the third term CEight times the seventh term DSeven times the seventh term

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EnglishOAVS TGT 2022

Q408.If 2 2 2 2 1 2 3...... n 4900 + + + + =, then the number of terms is:

A22 B24 C26 D28

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EnglishOAVS TGT 2022

Q409.The nth term of the progression 2.3 + 3.4 + 4.5 +….is:

A(n)(n + 1) B(n + 1)(n + 2) C(n)(n – 1) D(n –1)(n + 1)

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EnglishOAVS TGT 2022

Q410.12 + 22 + 32 + ….+1002 = __________.

A42925 B338350 C50502 D5050

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EnglishOAVS TGT 2022

Q411.What is the arithmetic mean of the three-digit numbers formed by using 1, 5 and 9?

A555 B500 C550 D525

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EnglishRPSC PGT 2022

Q412.If log102, log10(2x –1) and log10(2x +3) be three consecutive terms of an arithmetic progression, then which of the following is true?

Ax = log52 Bx = log25 Cx = log23 Dx = log32

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EnglishDSSSB PGT 2021

Q413.Complete the series: 34, ___, ___, ___, ___, 48

A36.4, 39.8, 42.6, 46.2 B36.8, 39.6, 42.4, 45.2 C36.9, 39.7, 42.6, 46.8 D37.0, 39.9, 43.1, 46.2

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EnglishDSSSB PGT 2021

Q414.If 5, x, 405 is in G.P., then what is the value of x?

A+45 B–45 C±15 D±45

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EnglishDSSSB PGT 2021

Q415.If a, b, c are positive real numbers then the least value of a + b b + c c + a + + c a b is:

A5 B6 C2 D1

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EnglishDSSSB PGT 2021

Q416.If the arithmetic mean of the two numbers a and b (a, b > 0) is five times their geometric mean, then a + b a – b is equal to:

A5 6/12 B7 3/12 C3 2/4 D6/2

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EnglishDSSSB PGT 2021

Q417.If m is the AM (Arithmetic-Mean) of two distinct real numbers l and n (l, n >1) and G1, G2 and G3 are their geometric means between l and n, then 4 4 4 1 2 3 G + 2G + G equals:

A4 l m2/n B4 l 2/mn C4 l 2 m2 n2 D4 l mn2

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EnglishDSSSB PGT 2021

Q418.If the product of n positive real numbers, a1, a2, a3............. an is unity, then their sum is:

ADivisible by n BA positive integer CNever less than n DEqual to n2

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EnglishOAVS TGT 2021

Q419.If a, b, c are in A.P., then which of the following is NOT true?

A1 1 1,, b c c a a b + + + are in A.P. B1 1 1,, b c c a a b + + + are in A.P. C1 1 1,, bc ca ab are in A.P. D2 2 2 a (b c),b (c a),c (a b) are in A.P.

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EnglishOAVS TGT 2021

Q420.The arithmetic mean and geometric mean of 1 and 9 is______ and _______, respectively.

A5; 3 B5; 5 C3; 5 D3; 3

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