Math Chapter Wise

EnglishBihar (TRE 2.0)-2023

Q01.If log10(x -10) = 1, then the value of x is

A1 B10 C20 DMore than one of the above ENone of the above

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EnglishBihar (TRE 2.0)-2023

Q02.Which of the following equalities is not correct?

Alog10 10 = 1 Blog (2 + 3) = log (2 × 3) Clog (1 + 2 + 3) = log 1 + log 2 + log 3 DMore than one of the above ENone of the above

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EnglishBihar (TRE 2.0)-2023

Q03.If logx 9 16 = 1 - 2, then the value of x is

A16/9 B256/81 C- 9 16 DMore than one of the above ENone of the above

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EnglishBihar (TRE 2.0)-2023

Q04.The value of 3 2 1 log 18 is

A-2 B2 C3 2 DMore than one of the above ENone of the above

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EnglishBihar (TRE 2.0)-2023

Q05.If 10 log a = p and 10 log b = q then the value of log10(ap bp) is

Ap + q/a + b Bp2/- q2 Cp2/+ q2 DMore than one of the above ENone of the above

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EnglishBihar (TRE 2.0)-2023

Q06.Which of the following steps is mandatory in the principle of mathematical induction?

AInductive reference BInductive hypothesis CMinimal set representation DMore than one of the above ENone of the above

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EnglishBihar (TRE 2.0)-2023

Q07.Which of the following is a ‘statement’?

ARoses are black BMind your own business CBe punctual DMore than one of the above ENone of the above

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EnglishBihar (TRE 1.0) -2023

Q08.Which of the following statements is true?

AEvery even integer n ≥ 16 divides (n – 1)! + 3 BEvery odd integer n ≥ 16 divides (n -1)! CEvery even integer n ≥ 16 divides (n -1)! DMore than one of the above ENone of the above

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EnglishBihar (TRE 1.0) -2023

Q09.Consider the function f(n) = n5 – 2n3 + n, where n is a positive integer. Which of the following statements is not true?

AFor every positive integer k, there exists a positive integer n such that f (n) is divisible by 2k. Bf(n) is even for every integer n ≥ 20. CFor every integer n ≥ 20 either f(n) is odd or f(n) is divisible by 4. DMore than one of the above ENone of the above

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EnglishBihar (TRE 1.0) -2023

Q10.Let p be a prime number and Np be the number of pairs of positive integers (x, y) such that 4 1 1 1 + = x y p Which among the following are possible values of NP?

A0 B4 C9 DMore than one of the above ENone of the above

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EnglishEMRS TGT-2023

Q11.If the remainder on division of x3 + 2x2 + kx + 3 by x – 3 is 21 then the value of k is:

A– 9 B2 C– 2 D9

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EnglishEMRS TGT-2023

Q12.The largest number that will divide 789, 861 and 1069 leaving the remainders 7, 11 and 15 respectively is:

A51 B34 C85 D17

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EnglishEMRS TGT-2023

Q13.The mean marks of boys in a class is 52 and that of girls is 42. The mean marks of boys and girls combined in 50. The percentage of boys in the class is:

A60 B40 C20 D80

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EnglishEMRS TGT-2023

Q14.A two digit number is 4 times the sum of its digits and twice the product of the digits. The number is:

A45 B36 C54 D63

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EnglishEMRS TGT-2023

Q15.The area of a triangle is 5 square units. Two of its vertices are (2, 1) and (3, –2). The third vertex which lies on the line y = x + 3 is given by:

A–3 3 7 13, and, 2 2 2 2 B3 9, 2 2 C13 9, 2 2 D–7 13 3 3, and, 2 2 2 2 −

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EnglishEMRS TGT-2023

Q16.The area of the figure formed by joining the mid-points of the adjacent sides of a rhombus with diagonals 12 cm and 16 cm is:

A64 cm2 B96 cm2 C192 cm2 D48 cm2

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EnglishEMRS TGT-2023

Q17.If p > 0 and q < 0, then:

Ap – q ≤ p Bp – q > p Cp – q ≥ p Dp – q < p

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EnglishEMRS TGT-2023

Q18.The diameters of the two circular ends of a bucket are 44 cm and 24 cm. The height of the bucket is 35 cm. The capacity of the bucket is:

A34.7 litre B30.7 litre C35.7 litre D32.7 litre

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EnglishEMRS TGT-2023

Q19.Construction company got another order for making a godown in which length of base is 2 times of the old one and height is 3 times of the old one. Ratio to volume of new and old godown is:

A4: 1 B6: 1 C12: 1 D8: 1

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EnglishEMRS TGT-2023

Q20.Let 5 be the cost incurred for walls per square meter, then the cost C of constructing the godown is:

AC = 5(4x2 + 3xy) BC = (3x2 + 4xy) CC = (4x2 + 3xy) DC = 5(3x2 + 4xy)

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