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Q:

In how many ways the letters of the word 'DESIGN' can be arranged so that no consonant appears at either of the two ends?

A) 240	B) 72
C) 48	D) 36

Answer & Explanation Answer: C) 48

Explanation:

DESIGN = 6 letters

No consonants appear at either of the two ends.

= $2 x 4 P_{4}$ = 2 x 4 x 3 x 2 x 1= 48

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Filed Under: Permutations and Combinations
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Q:

In How many ways can the letters of the word 'CAPITAL' be arranged in such a way that all the vowels always come together?

A) 360	B) 720
C) 120	D) 840

Answer & Explanation Answer: A) 360

Explanation:

CAPITAL = 7

Vowels = 3 (A, I, A)

Consonants = (C, P, T, L)

5 letters which can be arranged in $5 P_{5} = 5!$

Vowels A,I = $\frac{3!}{2!}$

No.of arrangements = 5! x $\frac{3!}{2!}$ =360

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Filed Under: Permutations and Combinations
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Q:

In a plane 8 points are colliner out of 12 points, then the number of triangles we get with those 12 points is

A) 20	B) 160
C) 164	D) 220

Answer & Explanation Answer: C) 164

Explanation:

For a triangle, we need 3 non-collinear points. So with 12 points (when all the 12 are such that any three non-collinear is $12 C_{3}$ . But among them 8 points are collinear.

If all these 8 points are different we get $8 C_{3}$ triangles as they are collinear.

In $12 C_{3}$ triangles, we do not get $8 C_{3}$ triangles

Therefore, The number of triangles we get = $12 C_{3} - 8 C_{3}$ = 164

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Filed Under: Permutations and Combinations
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Q:

Pointing to a Photograph, Arjun said, "She is the mother of my son's wife's daughter". How is Arjun related to the lady?

A) Uncle	B) Cousin
C) Daughter- in - law	D) None of these

Answer & Explanation Answer: C) Daughter- in - law

Explanation:

Arjun's son's wife's daughter ---- Arjun's son's daughter; Mother of daughter of Arjun's son - wife of Arjun's son.

So, Arjun is the father-in-law of the lady.

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Filed Under: Blood Relations

Q:

P's father is Q's Son. M is the paternal uncle of P and N is the brother of Q. How is N related to M?

A) Brother	B) Nephew
C) Cousin	D) None of these

Answer & Explanation Answer:

Explanation:

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Filed Under: Blood Relations

Q:

Which of the following groups of rivers in india are likely to show the least erosional activity?

A) Himalayan rivers	B) Those rising in the Great Plain of India
C) The thin streams flowing into the Arabian Sea	D) The east-ward flowing peninsular rivers

Answer & Explanation Answer: D) The east-ward flowing peninsular rivers

Explanation:

The rivers are arranged in the descending order of their erosional activity.

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Filed Under: Indian Geography

Q:

Pieces of camphor placed on water move about rapidly. This is because of

A) diffusion	B) viscosity
C) surface tension	D) capillarity

Answer & Explanation Answer: C) surface tension

Explanation:

The Camphor slowly dissolves in the water lowering the latter's surface tension in the immediate neighbourhood. The stronger pull exerted by the uncontaminated portion of water brings about a movement of the surface and the camphor particles are carried along with it. When after sometime the whole surface settles for the reduced tension, the movement of the camphor too short.

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Filed Under: Physics

Q:

If a body weighs 12N on the surface of the earth, how much will it weigh on the surface of the moon where acceleration due to gravity is only one-sixth of that on earth's surface?

A) 12N	B) 2N
C) 10N	D) 6N

Answer & Explanation Answer: B) 2N

Explanation:

Weight is mass x g. Since mass is constant and g is only ${\frac{1}{6}}^{t h}$ of that on the earth. The weight on the moon is only ${\frac{1}{6}}^{t h}$ of that on the earth.

Therefore 2N i.e (b) is the answer.

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Filed Under: Physics
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