Math Chapter Wise

EnglishTGT 1999

Q401.If x identity |x–1|+|x–2|+|x–3| ≥ 6 satisfies then–

A4 x 0 ≤ Bx 2or x 4/≤ − ≥ Cx 0or x 4/≤ ≥ DNone of these

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EnglishTGT 1999

Q402.The solution of log7 log5 () + + = x 5 x 0 is–

A2 B4 C3 DNone of these

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EnglishTGT 1999

Q403.For which value of 'x', yz = a2, zx =b2, xy =c2 is satisfy.

Ab / ca ± Bc b / a ± Ca / bc ± Dac / b ±

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EnglishTGT 1999

Q404.On solving equation 2 x 2x 2: 2 8:1 = For the real value of 'x'–

Ax = 3, -1 Bx = 3, 1 Cx = 3, 2 Dx = 3, 4

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EnglishTGT 1999

Q405.If A=log2 log2 log4 256 + 2 2 log 2 then A=

A2 B3 C5 D7

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EnglishTGT 1999

Q406.If 3 17 x log 5,y log 25, = then what will be correct from given bellow–

Ax < y Bx = y Cx > y DNone of these

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EnglishTGT 1999

Q407.If a2 +4b2 =12ab then log (a+2b) =

A2 1 (log a + log b- log2) Blog 2 a + log 2 b + log2 C2 1 (log a + log b+ 4log2) D2 1 (log a - log b+4 log2)

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EnglishTGT 1999

Q408.A sum of money triples itself in 4 years at a certain rate of compound interest. Find in how many years it will become 27 times of itself.

A36 year B9 year C12 year D21 year

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EnglishTGT 1999

Q409.If 'A' can do a piece of work in 24 days and 'B' is 60% more efficient than 'A', thus in how many days can 'B' do the same work?

A9.6 B12 C15 D17

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EnglishTGT 1999

Q410.If the height and diameter of the base of a cone are increased by 100%, then the volume of the cone is equal to the original. How many times will it increase from the volume?

ATow time BThree time CSix time DEight time

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EnglishTGT 1999

Q411.If x and y are any two positive real numbers then what is true for x > y?

A–x>y B–x < –y C1 1 x y > D1 1 x y − >

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EnglishTGT 1999

Q412.Which statement is true for the equation x2 –x– 12<0.

A–3<x<4 Bx<–3 or x>4 Cx < –3 or x > 4 DNone of these

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EnglishTGT 1999

Q413.Three natural numbers x, y, z are such that the HCF of all three is '1' and x2 + y2 = z2 then how many such natural numbers can there be?

AOne BTwo CCertain DInfinite

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EnglishPGT 2011

Q414.If x 7 4 3 = + = + then 1 x + =

A4 B6 C3 D2

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EnglishPGT 2011

Q415.The sum of first n natural number is 1 5 times the sum of their squares, then the value of n is:

A5 B6 C7 D8

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EnglishPGT 2011

Q416.The value of 4 8 16 log 2 log 2 log 2......... − + − + is

Ae2 Blog32+1 Cloge 3–2 D1–loge2

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EnglishPGT 2010

Q417.If x a x a y x a x a + − − + − − + − − + − − = + + − + + − + + − + + − then 2 1 y y + will be equal to

A2x/a B2 x a Cx/a Dx+a

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EnglishPGT 2010

Q418.The value of 16 25 81 log 2 16log 12log 7log 15 24 80 + + + + + + + + + + + + e e e e is equal to

Aloge21 Bloge3 Cloge10 D1

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EnglishPGT 2010

Q419.A certain sum is invested at compound interest at 8% per year. In how many years will the amount be doubled?

A(log102)/(log1027–log1025) B(log103)/(log1027–log1025) Clog10(50/27) DNone of these

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EnglishPGT 2010

Q420.How many real numbers are there in the interval (2,7)?

A2 B4 C6 DNone of these

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