Math Chapter Wise

EnglishTGT 1999

Q7061.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

Q7062.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

Q7063.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

Q7064.If x 7 4 3 = + = + then 1 x + =

A4 B6 C3 D2

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EnglishPGT 2011

Q7065.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

Q7066.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

Q7067.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

Q7068.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

Q7069.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

Q7070.How many real numbers are there in the interval (2,7)?

A2 B4 C6 DNone of these

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EnglishPGT 2010

Q7071.4n 2 2n 1 3 5 + + + + is completely divisible by

A15 B14 C13 D12

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EnglishPGT 2010

Q7072.A and B takes rounds of a circular path of radius 36 metres in the opposite direction starting from a fixed point O. When B reaches the starting point O at the first time he meets A at the third time (other than starting meet). Then the ratio of the speeds of A and B will be

A9: 4 B3: 1 C2: 1 D4: 1

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EnglishPGT 2009

Q7073.The sum of the radii of inscribed and circumscribed circles for an n sided regular polygon of side a is?

Acot a n π Bcot 2 2 a n π Ccot 2 a n π Dcot 4 2 a n π

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EnglishPGT 2005

Q7074.If (())) ((()) 5 5 1 2 log 13 / 2 log 9 2 1 27 − = K then K is equal to

A3/ 2 3/16 3 9 − × B3/ 2 7/16 3 13 − × C3/ 2 5/16 3 13 − × D3/ 2 3/16 3 13 − ×

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EnglishPGT 2000

Q7075.If (())) ((())) ((()) 2 2 Px q 1 3 2x 3 2x 3 2x 3 + = + − − − Then:

Ap=2, q=0 Bp=0, q=0 Cp=2, q=1 Dq=0, p =1

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EnglishRajasthan TGT 2016

Q7076.If each edge of a cube is increased by 50%, then increase in its surface area will be

A50% B75% C100% D125%

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EnglishRajasthan TGT 2016

Q7077.Which of the following statements are correct? A. The sum and difference of any two irrational numbers need not be irrational. B. Product of any two irrational numbers is irrational. C. For any two distinct irrational numbers a and b, the number a b is irrational.

AA,B and C BA and B only CB and C only DOnly A

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EnglishRajasthan TGT 2016

Q7078.Sum of an integer and its square is

Aalways an odd number Balways an even number Calways prime number DNone of these

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EnglishRajasthan TGT 2016

Q7079.The number 1452 1872 is

ANatural number BInteger CRational number DIrrational number

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EnglishRajasthan TGT 2016

Q7080.The digit in the unit position of the integer 1! 2! 3!..... 99! + + + + + + + + + + + + + + + + is

A7 B3 C1 D0

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