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Q:

Which dynasty was in power throughout the 1500's in China?

A) Han	B) Ming
C) Manchu	D) Yuan

Answer & Explanation Answer: B) Ming

Explanation:

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Filed Under: World History

Q:

Which one of the following is the cause for a change in the season?

A) Earth’s Rotation and Revolution	B) Earth’s Rotation
C) Earth’s Revolution	D) None of the above

Answer & Explanation Answer: C) Earth’s Revolution

Explanation:

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Filed Under: World Geography

Q:

In which direction earth spins on its axis?

A) West to East	B) East to West
C) South to North	D) North to South

Answer & Explanation Answer: A) West to East

Explanation:

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Filed Under: World Geography

Q:

Which among the following migratory bird species migrates from Arctic to Antarctica every year, making it longest migratory route on nearth?

A) Arctic Tern	B) Black necked swan
C) Bobolink	D) American Robin

Answer & Explanation Answer: A) Arctic Tern

Explanation:

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Filed Under: World Geography

Q:

What is the total no of ways of selecting atleast one item from each of the two sets containing 6 different items each?

A) 2856	B) 3969
C) 480	D) None of these

Answer & Explanation Answer: B) 3969

Explanation:

We can select atleast one item from 6 different items = $2^{6} - 1$

Similarly we can select atleast one item from other set of 6 different items in $2^{6} - 1$ ways.

Required number of ways = $(2^{6} - 1) (2^{6} - 1) = {(2^{6} - 1)}^{2}$ = 3969

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Filed Under: Permutations and Combinations
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

Q:

In how many different ways can 6 different balls be distributed to 4 different boxes, when each box can hold any number of ball?

A) 2048	B) 1296
C) 4096	D) 576

Answer & Explanation Answer: C) 4096

Explanation:

Every ball can be distributed in 4 ways.

Hence the required number of ways = 4 x 4 x 4 x 4 x 4 x 4 = 4096

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Filed Under: Permutations and Combinations

Q:

A Group consists of 4 couples in which each of the 4 persons have one wife each. In how many ways could they be arranged in a straight line such that the men and women occupy alternate positions?

A) 1152	B) 1278
C) 1296	D) None of these

Answer & Explanation Answer: A) 1152

Explanation:

Case I : MW MW MW MW

Case II: WM WM WM WM

Let us arrange 4 men in 4! ways, then we arrange 4 women in 4P4 ways at 4 places either left of the men or right of the men. Hence required number of arrangements

$4! \times 4 P_{4} + 4! \times 4 P_{4} = 2 \times 576 = 1152$

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Filed Under: Permutations and Combinations
Exam Prep: AIEEE , Bank Exams , CAT
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Q:

If $A = \frac{l o g_{3} (2187)}{5}$ and $B = l o g_{243} (2187)$ , then which one of the following is correct?

A) A	B) A=B
C) A>B	D) can't be determined

Answer & Explanation Answer: B) A=B

Explanation:

Given $A = \frac{\log_{3} (2187)}{5} a n d B = \log_{243} (2187)$

$B = \log_{3^{5}} (2187) = \frac{\log_{3} (2187)}{5}$

=> A

Therefore, A = B

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Filed Under: Logarithms
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
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