Aptitude and Reasoning Questions

Q:

A team of 8 students goes on an excursion, in two cars, of which one can seat 5 and the other only 4. In how many ways can they travel?

A) 126 B) 240
C) 120 D) 260
 
Answer & Explanation Answer: A) 126

Explanation:

There are 8 students and the maximum capacity of the cars together is 9.

 

We may divide the 8 students as follows

 

Case I: 5 students in the first car and 3 in the second Or

 

Case II: 4 students in the first car and 4 in the second

 

Hence,     in Case I: 8 students are divided into groups of 5 and 3 in 8C3 ways.

 

Similarly, in Case II: 8 students are divided into two groups of 4 and 4 in 8C4 ways.

 

Therefore, the total number of ways in which 8 students can travel is

 

8C3+8C4 = 56 + 70 = 126.

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0 6036
Q:

The probabiltiy that throw of two dice yields a total of 5 or 6 is:

A) 2/14 B) 5/18
C) 3/4 D) 1/4
 
Answer & Explanation Answer: B) 5/18

Explanation:

Total number of cases=36

Number of favourable cases(sum 5 or 6)=10

P(getting total of 5 or 6)=10/36=5/18

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Filed Under: Probability

5 6035
Q:

a) In a family of 6 persons, there are two couples. b) The lawyer is the head of the family and has only two sons- Suresh and Rajesh- both teachers. c) Mrs. Veena and her mother-in-law both are lawyers. d) Suresh's wife is a Doctor and they have a son, Ankith.

1) What is the profession of Rajesh's wife ?


2) What is Ankith's grandfather's occupation ?

Answer

Answer: 1) Rajesh's wife is Mrs. Veena and she is a lawyer.


Answer: 2) The family doesn't have Ankith's grandfather.


So, we can't determine.

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Subject: Logic Exam Prep: GRE , TOEFL
Job Role: Bank Clerk

5 6028
Q:

A group of students decided to collect as many paise from each member of group as is the number of members. If the total collection amounts to Rs. 59.29, the number of the member is the group is:

A) 57 B) 67
C) 77 D) 87
 
Answer & Explanation Answer: C) 77

Explanation:

Money collected = (59.29 x 100) paise = 5929 paise.

 

  Number of members = 5929 = 77.

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26 6028
Q:

5 sin(x)+ 12 cos(x) + r is always greater than or equal to zero. What is the smallest value satisfied by 'r' ?

A) -13 B) 11
C) 13 D) -11
 
Answer & Explanation Answer: C) 13

Explanation:

Given,

 5sinx + 12cosx ≥ -r 

13513sin x + 1213cos x  -rcosx) ≥ -r 

513= cosA => sinA =1213

 

=> 13(sinx cosA + sinA cosx) ≥ -r

 

=> 13(sin(x + A)) ≥ -r

 

we know that , -1 ≤ sin (angle) ≤ 1

 

=> 13sin (x + A) ≥ -13 rmin =13 

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Filed Under: Simplification
Exam Prep: CAT
Job Role: Bank PO

8 6027
Q:

The cost price of three varieties of mangoes namely M, N and O is Rs. 20/kg, Rs. 40/kg and Rs. 50/kg respectively. Find the selling price of one kg of mango in which these three varieties of mangoes are mixed in the ratio of 2 : 3 : 5 such that there is a net profit of 20%?

A) Rs. 47 B) Rs. 49.2
C) Rs. 48.5 D) Rs. 50.3
 
Answer & Explanation Answer: B) Rs. 49.2

Explanation:

Total cost of all varieties of mangoes = 20 x 2 + 40 x 3 + 50 x 5 = 40 + 120 + 250 = Rs. 410

Then, cost of 1 kg mangoes = 410/10 = Rs. 41

To get 20% profit,

The rate at which the mangoes should be sell = 120/100 x 41 = Rs. 49.2

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15 6024
Q:

If wall is called window, window is called door, door is called floor, floor is called roof and roof is called ventilator, What will a person stand on ?

A) Window B) Wall
C) Floor D) Roof
 
Answer & Explanation Answer: D) Roof

Explanation:

A person will stand on the floor and floor is called roof. So, a person will stand on the roof

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Filed Under: Coding and Decoding

26 6021
Q:

A is father of X ; B is mother of Y. The sister of X and Z is Y. Which of the following statements is definitely not true ? 

A) B is the mother of Z. B) X is the sister of Z
C) Y is the son of N. D) B is the wife of A.
 
Answer & Explanation Answer: C) Y is the son of N.

Explanation:

A is the father of X and Y is the sister of X. So. Y is the daughter of A. 

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Filed Under: Blood Relations

2 6021