Aptitude and Reasoning Questions

Q:

A natural number when increased by 12 equals 160 times its reciprocal. Find the number?

A) 20 B) 12
C) 8 D) 4
 
Answer & Explanation Answer: C) 8

Explanation:

Let the required number be 'p'.

From the given data,

p + 12 = 160 x 1/p

=> p + 12 = 160/p

=> p(p + 12) = 160

=> P^2 + 12p - 160 = 0

=> p^2 + 20p - 8p - 160 = 0

=> P(p + 20) - 8(p + 20) = 0

=> (p + 20)(p - 8) = 0

=> p = -20 or p = 8

As, given the number is a natural number, so it can't be negative.

Hence, the required number p = 8.

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Filed Under: Problems on Numbers
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4 3784
Q:

How many 4-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed ?

A) 5040 B) 2525
C) 2052 D) 4521
 
Answer & Explanation Answer: A) 5040

Explanation:

The Word LOGARITHMS  contains 10 letters.

To find how many 4 letter words we can form from that = P410 =10x9x8x7 = 5040.

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Filed Under: Permutations and Combinations
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4 3783
Q:

A motorboat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the motorboat and speed of the water current respectively?

A) 3:7 B) 7:9
C) 5:4 D) 8:3
 
Answer & Explanation Answer: D) 8:3

Explanation:

Let the man's rate upstream be x kmph and that downstream be y kmph.

Then, distance covered upstream in 8 hrs 48 min = Distance covered downstream in 4 hrs.

x x 8 4 = (y x 4)
5
44 x =4y
5
 y = 11 x.
5
 Required ratio = y + x : y - x
2 2
   = 16x x 1 : 6x x 1
5 2 5 2
   = 8 : 3
5 5

   = 8 : 3.

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Filed Under: Boats and Streams
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16 3781
Q:

How many prime numbers exist in 65×359×113 ?

A) 29 B) 31
C) 33 D) 27
 
Answer & Explanation Answer: B) 31

Explanation:

Given  65×359×113

2×35×5×79×113 

25×35×59×79×113

Thus, there are (5 + 5 + 9 + 9 + 3)= 31 prime numbers.

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Filed Under: Numbers
Exam Prep: CAT
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5 3780
Q:

How many 4-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated?

A) 60 B) 48
C) 36 D) 20
 
Answer & Explanation Answer: A) 60

Explanation:

Here given the required digit number is 4 digit.

It must be divisible by 5. Hence, the unit's digit in the required 4 digit number must be 0 or 5. But here only 5 is available.

x x x 5

The remaining places can be filled by remaining digits as 5 x 4 x 3 ways.

 

Hence, number 4-digit numbers can be formed are 5 x 4 x 3 = 20 x 3 = 60.

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Filed Under: Permutations and Combinations
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2 3778
Q:

The cash realised on selling a 14% stock at Rs. 106.25, brokerage being 14%, is :

A) RS.105.50 B) RS.106
C) RS.106.50 D) RS.113.75
 
Answer & Explanation Answer: B) RS.106

Explanation:

Cash realised = Rs. (106.25 - 0.25) = Rs. 106.

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Filed Under: Stocks and Shares

1 3775
Q:

The costs of daily ticket of local train is Rs 160 and Monthly Pass costs Rs 2912. If I buy the Monthly Pass and travel for 26 days in a month then I save?

A) 25 percent B) 22 percent
C) 18 percent D) 30 percent
 
Answer & Explanation Answer: D) 30 percent

Explanation:
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Filed Under: Percentage
Exam Prep: Bank Exams

1 3774
Q:

Determine the nominal rate of interest if:
The periodic rate is 1.75% per quarter.

A) 7% B) 8%
C) 9% D) 10%
 
Answer & Explanation Answer: A) 7%

Explanation:

j=mi

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Filed Under: Compound Interest
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3 3770