Aptitude and Reasoning Questions

Q:

Nine different letters of alphabet are given, words with 5 letters are formed from these given letters. Then, how many such words can be formed which have at least one letter repeated ?

A) 43929 B) 59049
C) 15120 D) 0
 
Answer & Explanation Answer: A) 43929

Explanation:

Number of words with 5 letters from given 9 alphabets formed = 95

 

Number of words with 5 letters from given 9 alphabets formed such that no letter is repeated is = 9P5

 

Number of words can be formed which have at least one letter repeated =  95 - 9P5

 

= 59049 - 15120

 

= 43929

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Filed Under: Permutations and Combinations
Exam Prep: GATE , CAT , Bank Exams , AIEEE
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11 6286
Q:

How many independent words can 'STAINLESS' be divided into without changing the order of the letters and using each letter only once ?

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: B) 2

Explanation:

The words are STAIN and LESS 

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Filed Under: Alphabet Test

12 6285
Q:

How many seconds will a 600 m long train take to cross a man walking with a speed of 7 km/hr in the direction of the moving train if the speed of the train is 67 km/hr ?

A) 29 sec B) 58 sec
C) 36 sec D) 44 sec
 
Answer & Explanation Answer: C) 36 sec

Explanation:

Speed of train relative to man = 67 - 7 = 60 km/hr.
= 60 x 5/18 = 50/3 m/sec.

Time taken to pass the man = 600 x 3/50 = 36 sec.

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Filed Under: Problems on Trains
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

3 6280
Q:

In a certain code language, “PRICE” is written as “GEKTR”. How is “VALUE” written in that code language?

A) FWNCX B) FNWDY
C) DWNCY D) GWNCX
 
Answer & Explanation Answer: D) GWNCX

Explanation:
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Filed Under: Coding and Decoding
Exam Prep: Bank Exams

2 6268
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 6267
Q:

What is the difference between the banker's discount and the true discount on Rs.8100 for 3 months at 5%

A) Rs. 2 B) Rs. 1.25
C) Rs. 2.25 D) Rs. 0.5
 
Answer & Explanation Answer: B) Rs. 1.25

Explanation:

F = Rs. 8100

R = 5%

T = 3 months = 1/4 years

 

BD=FTR100=8100×14×5100=Rs.101.25

 

TD=FTR100+TR=8100×14×5100+14×5=Rs.100

Therefore BD - TD = 101.25-100 = Rs.1.25

 

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Filed Under: Banker's Discount

1 6266
Q:

Namitha sold a powerbank which is at the cost of Rs. 1950 at a loss of 25%. Find at what cost will she have to sell it to get a profit of 25%?

A) Rs. 3680 B) Rs. 3560
C) Rs. 3320 D) Rs. 3250
 
Answer & Explanation Answer: D) Rs. 3250

Explanation:

Let the Cost price of the powerbank = Rs. P

But given that by selling it at Rs. 1950, it gives a loss of 25%

=> P x 75100 = 1950
=>P = 1950 x 10075 = Rs. 2600
Now, to get a profit of 25%

Selling Price = 2600 x 125100 = Rs. 3250.

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

15 6257
Q:

Simple interest on a certain sum of money for 3 years at 8% per annum is half the compound interest on Rs. 4000 for 2 years at 10% per annum. The sum placed on simple interest is

A) Rs.1650 B) Rs.1550
C) Rs.1750 D) Rs.1850
 
Answer & Explanation Answer: C) Rs.1750

Explanation:

C.I. =Rs[4000x(1+10/100)²-4000]

Rs.(4000x11/10x11/10-4000) = Rs.940.

Sum

=Rs. [420 *100 /3 * 8]

= Rs.1750.

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

3 6257