Math Chapter Wise

EnglishDSE TGT 2019

Q161.A triangle is formed by points (5, 8), (2, 7) and the point where lines x = 3 and 2x + 3y = 12 intersect. What will be the coordinates of centroid of this triangle?

A(3, 6) B(4, 4) C(11/3, 16/3) D(10/3, 17/3)

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EnglishDSE TGT 2019

Q162.The points (1, -1), (-1/2, 1/2) and (1, 2) are the vertices of

AScalene Triangle BObtuse Triangle CIsosceles Triangle DEquilateral Triangle

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EnglishDSE TGT 2019

Q163.For a > 0, b > 0, b ≠ 1, limx→0(ax –1)/(bx –1) =

Alogea / logeb Blogeab Clogea Da/b

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EnglishOAVS TGT 2018

Q164.A boat having a length of 4 m and a breath of 2 m is floating on a lake. The boat sinks by 1 om when a man gets into it. The mass of the man is:

A50 kg B80 kg C70 kg D60 kg

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EnglishOAVS TGT 2018

Q165.What is the best description of –4?

AInteger, Rational Number, Real Number BWhole Number, Integer, Real Number CRational Number, Real Number DIrrational Number, Real Number

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EnglishOAVS TGT 2018

Q166.The first known proof that 'the circle is bisected by its diameter' was given by:

AHypatia BEuclid CThales DPythagoras

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EnglishOAVS TGT 2018

Q167.If x2 + y2 + z2 = 1, then what is the maximum value of x + 2y + 3z =?

A14 B12 C11 D13

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EnglishOAVS TGT 2018

Q168.How many bricks, each measuring 25cm × 10 cm × 5 cm, will be needed to build a wall measuring 10m × 5m × 20m?

A5 × 105 B4 × 105 C3 × 105 D8 × 105

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EnglishOAVS TGT 2018

Q169.If a line parallel to side BC of a triangle ABC intersects AB and AC at D and E, respectively, then:

AAE AD/DB EC BNone of the given options CAD AE/EC DB DAD AE/DB EC

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EnglishOAVS TGT 2018

Q170.AD bisects the angle A of triangle ABC and meets BC at D such that BD AB. DC AC If BC = k, CA = l and AB = m, then the length of DC is:

Ak m l Bm/k l Ckm/k l Dk(m )/l

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EnglishOAVS TGT 2018

Q171.Given that ABCD is parallelogram and 0 B 80. What can you conclude about the other angles of the parallelogram?

AD 100, C 100, A 180. BNone of the given options. CA 100º, C 100º, D 80º ∠ = ∠ = ∠ = DA 100, D 100, C 180.

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EnglishOAVS TGT 2018

Q172.The vertices of the triangle formed by the lines 5x – y = 5, x + 2y = 1 and 6x + y = 17 are:

A(–1, 0), (3, –1), (2, 5) B(1, 0), (3, –1), (–2, 5) C(1, 0), (3, –1), (2, 5) D(1, 0), (–3, –1), (2, 5)

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EnglishOAVS TGT 2018

Q173.When the surface area of a sphere is divided by the sphere's volume, the result is 1/18 cm. What is the radius of the sphere?

A54 B6 C24 D5

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EnglishOAVS TGT 2018

Q174.Write the converse of the following statement. Also decide whether the converse is true or false. If a, b and c are whole numbers, then a + (b + c) = (a + b) + c

AIf a + (b + c) = (a + b)) c, then a, b and c are integers. True. BIf a + (b + c) = (a + b)) c, then a, b and c are integers. False. CIf a + (b + c) = (a + b)) c, then a, b and c are whole numbers. False. DIf a + (b + c) = (a + b)) c, then a, b and c are whole numbers. True.

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EnglishOAVS TGT 2018

Q175.Which of the following represents a rational between a and b where a, b ∈ Q.

Aab Ba b/2 Ca b/2 Dab

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EnglishOAVS TGT 2018

Q176.If the radii of the circular ends of a conical bucket are 28 cm and 7cm and the height of the bucket is 45 cm, what is the capacity of the bucket 22 pi? 7

A48510 B48000 C48100 D48500

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EnglishOAVS TGT 2018

Q177.If a capacity c of a lift is at most 1200 pounds, it means that:

Ac = 1200 Bc > 1200 Cc ≤ 1200 Dc < 1200

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EnglishOAVS TGT 2018

Q178.If a spherical ball of radius r is melted to make 8 new identical balls each of radius r1, then:

A4: 1 B2: 1 C1: 2 D1: 4

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EnglishOAVS TGT 2018

Q179.For any positive integer n, 7 divides:

A32n/+ 2n+2 B3n+1/+ 2n+2 C32n/+ 2n D32n+1/+ 2n+2

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EnglishOAVS TGT 2018

Q180.If a = 8, an = 120 and d = 2, then n is equal to:

A55 B57 C58 D56

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