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Q:

The number of ways that 7 teachers and 6 students can sit around a table so that no two students are together is 

A) 7! x 7! B) 7! x 6!
C) 6! x 6! D) 7! x 5!
 
Answer & Explanation Answer: B) 7! x 6!

Explanation:

The students should sit in between two teachers. There are 7 gaps in between teachers when they sit in a roundtable. This can be done in 7P6ways. 7 teachers can sit in (7-1)! ways.

 

 Required no.of ways is = 7P6.6! = 7!.6!

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

Q:

If A1, A2, A3, A4, ..... A10 are speakers for a meeting and A1 always speaks after, A2 then the number of ways they can speak in the meeting is 

A) 9! B) 9!/2
C) 10! D) 10!/2
 
Answer & Explanation Answer: D) 10!/2

Explanation:

As A1 speaks always after A2, they can speak only in  1st  to 9th places and 

 

A2 can speak in 2nd to 10 the places only when A1 speaks in 1st place 

 

A2 can speak in 9 places the remaining 

 

 A3, A4, A5,...A10  has no restriction. So, they can speak in 9.8! ways. i.e

 

when A2 speaks in the first place, the number of ways they can speak is 9.8!.

 

When A2 speaks in second place, the number of ways they can speak is  8.8!.

 

When A2 speaks in third place, the number of ways they can speak is  7.8!. When A2 speaks in the ninth place, the number of ways they can speak is 1.8!

 

 

 

Therefore,Total Number of ways they can  speak = (9+8+7+6+5+4+3+2+1) 8! = 92(9+1)8! = 10!/2

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

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 is12C3. But among them 8 points are collinear.

 

If all these 8 points are different we get 8C3 triangles as they are collinear.

 

In 12C3 triangles, we do not get 8C3 triangles

 

Therefore, The number of triangles we get = 12C3-8C3 = 164

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

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:

If 'A $ B' means 'A is brother of B', 'A @ B'means 'A is wife of B', 'A # B' means 'A is daughter of B' and 'A & B'means 'A is father of B', then which of the following expressions indicates the relationship 'K' is father-in-law of H'? 

 

A) H @ J $ L # P & K B) H @ J $ P & L # K
C) H @ J $ L # K & P D) H @ P $ J & L # K
 
Answer & Explanation Answer: C) H @ J $ L # K & P

Explanation:

K is the father-in-law of H means H is the wife of the brother (say, J) of the daughter (say, L) of K and K is a male (brother or father of some person, say P) i.e H @ J $ L # K $ P or H @ J $ L # K & P.

 

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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 soils is formed under typical monsoonal conditions?

A) Black Soils B) Red Soils
C) Laterite Soils D) None
 
Answer & Explanation Answer: C) Laterite Soils

Explanation:

The alternation of wet and dry seasons leads to the leaching away of the siliceous matter of the rocks and the formation of laterite soils. It has been observed that there is a general relationship between altitude and the chemical composition of laterite soils. The soils on the higher areas are generally more acidic than on the low lying areas.

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Filed Under: Indian Geography

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