Math Chapter Wise

EnglishUP TGT-2016 (08-03-2019)

Q6961.Factorisation of x3 –y3 is

A()() 2 2 x y x xy y + − + B()() 2 2 x y x xy y − − + C()() 2 2 x y x xy y − − − D()() 2 2 x y x xy y − + +

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EnglishUP TGT-2016 (08-03-2019)

Q6962.In an equilateral triangle, the ratio of the radius of circumcircle to that of incircle is

A3: 1 B5: 2 C3: 2 D2: 1

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EnglishUP TGT-2016 (08-03-2019)

Q6963.The tangent at a point C of a circle and diameter AB when extended interesect at D, if ∠ ∠DCA= 1100, then ∠ ∠ ∠CBA is equal to

A600 B700 C550 D1100

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EnglishUP TGT-2016 (08-03-2019)

Q6964.When a train travels with speed th 3 5 of its normal speed. It reaches its destination 4 hours late. What is the time taken by the train in travelling this distance with its normal speed?

A3hours B6hours C4hours D5 hours

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EnglishUP TGT-2016 (08-03-2019)

Q6965.A 75 meter long train is moving at 20km/hr. It will cross a man standing on the platform in time

A12seconds B14 seconds C13.5 seconds D15.5 seconds

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EnglishUP TGT-2016 (08-03-2019)

Q6966.If a + b + c = 5 and ab + bc + ca = 10, then the value of a3 + b3 + c3 – 3abc is

A–25 B25 C0 D75

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EnglishUP TGT-2016 (08-03-2019)

Q6967.If logx4 + logx 16 + logx 64 = 12, the value of x is

A2 B4 C5 D10

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EnglishUP TGT-2016 (08-03-2019)

Q6968.2 3 4 50 1 1 1 1......,x 1, log x log x log x log x + + + + ≠ + + + + ≠ + + + + ≠ + + + + ≠ is equal to

A50/log x B49/log x C50 1 log x D49 1 log x

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EnglishUP TGT-2016 (08-03-2019)

Q6969.If the sides of a right angled triangle are a, ar, ar2 (r < 1), then r2 is equal to

A−5 1/2 B5 1 2 + C5 1 D5 1/+

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EnglishUP TGT-2016 (08-03-2019)

Q6970.A and B work togeter and complete a given work in x days. If A alone completes this work in x+2 days and B alone completes this work in x+8 days, then the value of x is

A3 B4 C5 D2

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EnglishUP TGT-2016 (08-03-2019)

Q6971.A person travels from A to B at an average speed of x km/hr and returns from B to A at an average speed of y km/hr. His average speed during the total journey, is

Ax y 2xy + B2xy x y + C2 x y + D1 1 x y +

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EnglishUP TGT-2016 (08-03-2019)

Q6972.How much will ` ` `25000 amount to in 2 years at compound interest, if the rate of interest for successive years be 4% and 5% per year?

A`25,300 B`26,300 C`27,300 D`28,300

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EnglishUP TGT-2016 (08-03-2019)

Q6973.If 9 x 6, x + = + = then 2 2 9 x + + the value of is

A8 B12 C16 D10

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EnglishUP TGT-2016 (08-03-2019)

Q6974.Value of x is the equation 1 1 1 x 3 x 5 6 − = − + are

A7, 9 B–7, 9 C–7, –9 D7, –9

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EnglishUP TGT-2016 (08-03-2019)

Q6975.If r1, r2, r3 are ex-radii and r the in-radius of triangle ABC and r1 = r + r2 + r3, then triangle ABC is

AIsoscales triangle BEquilateral triangle CRight angled triangle DNone of these

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EnglishUP TGT-2016 (08-03-2019)

Q6976.H.C.F. of (x6 – 1) and 3 2 x x 4x 4 − + − − + − − + − − + − is

Ax+1 Bx–1 Cx2/–1 Dx3/–1

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EnglishUP TGT-2016 (08-03-2019)

Q6977.The equation of the base of an equilateral triangle is x+y = 1 and its vertex is (1, –1), length of its side is

A1 B1/2 C2/3 D1/3

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EnglishUP TGT-2016 (08-03-2019)

Q6978.If 2x - y = 5, then (2x - 3)3 - (y + 2)3 is equal to

A0 B25 C40 D125

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EnglishNVS PGT 10-06-2019

Q6979.The logarithm 1 256 of to the base 2 2 is:

A−16/3 B8/3 C−14/3 D−8/3

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EnglishNVS PGT 10-06-2019

Q6980.The diagonal of a rectangular field is 60m more than the shorter side. If the longer side 30m more than the shorter side, then the length of longer and shorter sides are:

A90m, 60m B120m, 90m C105m, 75m D150m, 120m

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