Math Chapter Wise

EnglishTGT 2011

Q141.The ratio of solving a problem is 3: 4 in favour of 'A' and 5: 7 in against of 'B'. If both 'A' and 'B' try to solve the problem, then the probability of solving the problem will be-

A41/84 B16/21 C5/21 D1/4

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EnglishTGT 2013

Q142.If n r p = 720 and n r c = 120 then the value of 'r' will be-

A1 B2 C3 D4

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EnglishTGT 2013

Q143.If f(x)+f(–x)=0 then x a f (t)dt ∫ will be-

AOdd function BEven function CRecurring function DNone of these

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EnglishTGT 2013

Q144.Probability of pragati to solve a problem is 1 3 and tripti is 1 2 then what will be the probability of solving that problem.

A1/2 B1/3 C2/3 D1/6

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EnglishTGT 2010

Q145.In how many ways can the letters of the word 'MATHEMATICS' be arranged so that vowels always come together?

A10080 B4989600 C120960 DNone of these

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EnglishTGT 2010

Q146.If A and B are two mutually exclusive events then

A() () P A P B < B() () P A P B > C() () P A P B < DNone of these

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EnglishTGT 2010

Q147.If n is even and value of n r C maximum then value of r is

A2/n B1 2 n + C1 2 n − DNone of these

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EnglishTGT 2010

Q148.The value of n r P equal to

An 1 n 1 r r 1 P r. P − − − + Bn 1 n 1 r r 1 n. P P − − − + Cn 1 n 1 r r 1 n P P − − − + Dn 1 n 1 r r 1 P P − − − +

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EnglishTGT 2010

Q149.If n Pr = n Pr+1 and n Cr = n Cr–1, then (n, r) are

A2,3 B3,2 C4,5 D5,4

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EnglishTGT 2010, 1999

Q150.If A and B are such events that P(A) > 0 and P(B)≠0, then A P B is equal to

A1 () () P A B P B − ∪ B() 1 () P A B P A ∪ − C1 A P B + DNone of these

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EnglishTGT 2010

Q151.For any two independent events E1, and E2, 1 2 P{(E) (E) (E) (E)} ∪ ∩ ∩ ∪ ∩ ∩ ∪ ∩ ∩ ∪ ∩ ∩ is

A1 4 ≥ B1 4 ≤ C1 4 > D1 4 <

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EnglishTGT 2009

Q152.If (1+x)n = n r r 0 C x = ∑ ∑, then 3 1 2 n 0 1 2 n 1 C C C C 1 1 1.... 1 C C C C − − + + + + = + + + + = + + + + = + + + + =

A() n 1 n n 1! − B() n 1 n 1! − + − C() n n 1 n! + D() n 1 n! +

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EnglishTGT 2009

Q153.If A and B are arbitrary events then:

AP(A∪B) ≥ P(A) + P(B) + 1 BP(A∪B) ≥ P(A) + P(B) –1 CP(A∪B) ≥ P(A) – P(B) – 1 DP(A∪B) ≥ P(A) – P(B) + 1

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EnglishTGT 2009

Q154.If P(A) = 0.65, P(B) = 0.15, then P(A) + P(B) will be -

A1.2 B1.3 C1.4 D1.5

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EnglishTGT 2009

Q155.How many words can be grouped with the word "LEADER"?

A72 B144 C360 D720

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EnglishTGT 2009

Q156.2 Cards are drawn at random from a new deck of 52 cards, then what is the probability that one of the cards is a spade and the other is an ace?

A1/34 B8/221 C1/26 D2/51

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EnglishTGT 2009

Q157.If total 7 trains are available for departure and 7 trains for arrival from Kanpur to Jhansi. Then tell a person who wants to come from Jhansi to Kanpur, in how many ways can be come and go, while he does not use the train by which he comes?

A49 B42 C36 D14

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EnglishTGT 2009

Q158.A bag contains 3 black and 4 white balls. Two balls are drawn one after the other at random with replacement, threw what is the probability that the ball drown the second time is white?

A4/49 B1/7 C4/7 D12/49

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EnglishTGT 2009

Q159.Out of 13 cricket players, four are bowlers. How many ways a group of 11 players can be formed in which there must be at least 2 bowlers?

A55 B72 C78 DNone of these

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EnglishTGT 2005

Q160.There are 10 mangoes in a bag out of which 4 are rotten. If 2 mangoes are taken out from the bag together what is the probability that both are good (not rotten).

A5/18 B8/15 C5/13 DNone of these

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