Aptitude and Reasoning Questions

Q:

The number of ways in which 8 distinct toys can be distributed among 5 children?

A) 5P8 B) 5^8
C) 8P5 D) 8^5
 
Answer & Explanation Answer: B) 5^8

Explanation:

As the toys are distinct and not identical,

For each of the 8 toys, we have three choices as to which child will receive the toy. Therefore, there are 58 ways to distribute the toys.

 

Hence, it is 58 and not 85.

Report Error

View Answer Report Error Discuss

Filed Under: Permutations and Combinations
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE , TOEFL
Job Role: Analyst , Bank Clerk , Bank PO , IT Trainer

16 18940
Q:

From the given alternatives, according to dictionary, which word will come at THIRD position?

1. Serious

2. Single

3. Salted

4. Sand

5. Sickle

 

A) Single B) Sand
C) Sickle D) Serious
 
Answer & Explanation Answer: D) Serious

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Logical Sequence of Words
Exam Prep: Bank Exams

0 18923
Q:

A motor boat takes 12 hours to go downstream and it takes 24 hours to return  the same distance. what is the time taken by  boat in still water?

A) 15 h B) 16 h
C) 8 h D) 20 h
 
Answer & Explanation Answer: B) 16 h

Explanation:

If t1 and t2 are the upstream and down stream times. Then time taken in still water is given by 

2×t1×t2t1+t2=2×12×2436=16h

Report Error

View Answer Report Error Discuss

Filed Under: Boats and Streams

61 18916
Q:

Three partners shared the profit in a business in the ratio 4:6:8. They had partnered for 12 months, 8 months and 6 months respectively. What was the ratio of their investments?

A) 4:6:8 B) 4:7:8
C) 4:8:16 D) 4:9:16
 
Answer & Explanation Answer: D) 4:9:16

Explanation:

Let their investments be Rs. x for 12 months, Rs. y for 8 months and Rs. z for 6 months respectively.

Then, 12x : 8y : 6z = 4 : 6 : 8

Now, 12x/8y = 4/6   <=>   9x=4y   <=>   y=9x/4

And, 12x/6z = 4/8   <=>   4x=z     <=>    z=4x

Therefore, x : y: z  =  x : 9x/4: 4x  =  4 : 9 : 16

Report Error

View Answer Report Error Discuss

Filed Under: Partnership

18 18913
Q:

What is the value of P in the following Equation ?

 192.5 × 19p = 197

A) 3.9 B) 4.1
C) 3.7 D) 4.5
 
Answer & Explanation Answer: D) 4.5

Explanation:

Given equation is  

  192.5 ×19p = 197   

Here it is in the form of am × an = am+n  

 Here m = 2.5 , n = p, m+n = 7

 => 2.5 + p = 7 

 => p = 7 - 2.5

 => p = 4.5

Report Error

View Answer Report Error Discuss

Filed Under: Mathematical Operations
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

25 18912
Q:

Some boys are sitting in a row. P is sitting fourteenth from the left and Q is seventh from the right. If there are four boys between P and Q, how many boys are there in the row ?

A) 26 B) 24
C) 25 D) 22
 
Answer & Explanation Answer: C) 25

Explanation:

Number of boys in the row = number of boys uptil P + number of boys between P and Q + number of boys including Q and those behind Q = 14 + 4 + 7 = 25.

Report Error

View Answer Report Error Discuss

Filed Under: Number, Ranking and Time Sequence Test
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk

69 18909
Q:

If the C.I. on a sum for 2 years at 12 1/2 % per annum is Rs. 510, the S.I. on the same sum at the same rate for the same period of time is   ?

A) Rs. 580 B) Rs. 480
C) Rs. 550 D) Rs. 470
 
Answer & Explanation Answer: B) Rs. 480

Explanation:

Let the sum be Rs. P. Then,

 

P1+252x1002-P= 510

 

P[982- 1] = 510.

 

Sum = Rs. 1920

 

So, S.I. = (1920 x 25 x 2) / (2 x 100) = Rs. 480

Report Error

View Answer Report Error Discuss

Filed Under: Simple Interest
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

39 18896
Q:

How many different words can be made using the letters of the word ' HALLUCINATION ' if all constants are together?

A) 129780 B) 1587600
C) 35600 D) None of these
 
Answer & Explanation Answer: B) 1587600

Explanation:

 H   L   C   N    T    A   U   I   O

 

      L        N          A        I

 

There are total 131 letters out of which 7 are consonants and 6 are vowels. Also ther are 2L's , 2N's, 2A's and 2I's.

 

If all the consonants  are together then the numberof arrangements = 7!2!x 1/2! .

But the 7 consonants  can be arranged themselves in  7!2! x 1/2! ways. 

 

Hence the required number of ways = 7!2!2!2 = 1587600

Report Error

View Answer Report Error Discuss

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

8 18885