Aptitude and Reasoning Questions

Q:

A card is drawn from a pack of 52 cards. The card is drawn at random. What is the probability that it is neither a spade nor a Jack?

A) 9/13 B) 4/13
C) 10/13 D) 8/13
 
Answer & Explanation Answer: A) 9/13

Explanation:
 

There are 13 spade and 3 more jack


Probability of getting spade or a jack:
=13+352=1652=413

 

So probability of getting neither spade nor a jack:
=1−413 = 9/13

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Filed Under: Probability

7 5517
Q:

Find the compound interest on Rs. 6,500 for 4 years if the rate of interest is 10% p.a. for the first 2 years and 20% per annum for the next 2 years? 

A) Rs. 3845 B) Rs. 4826
C) Rs. 5142 D) Rs. 4415
 
Answer & Explanation Answer: B) Rs. 4826

Explanation:

We know the formula for calculating

The compound interest C = P1 + r100n - 1 where P = amount, r = rate of interest, n = time

Here P = 5000, r1 = 10, r2 = 20

Then C = 65001 + 101002 x 1 + 201002 - 1= 6500 x 18562500= 65 x 185625

C = Rs. 4826.

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20 5515
Q:

Malaria : Disease :: Spear : ?

A) Death B) Weapon
C) Sword D) Wound
 
Answer & Explanation Answer: B) Weapon

Explanation:

Second denotes the class to which the first belongs to. Here Malaria belongs to disease class and similarly, Spear belongs to weapon class.

 

Hence,  Malaria : Disease :: Spear : Weapon.

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Filed Under: Analogy
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

5 5513
Q:

What is the SI on Rs.7500/- at the rate of 10% per annum for 5 years?

A) 3750 B) 2750
C) 1750 D) 750
 
Answer & Explanation Answer: A) 3750

Explanation:

S.I=PNR/100

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

4 5512
Q:

What is the difference between the compound interests on Rs. 5000 for 112 years at 4% per annum compounded yearly and half-yearly?

A) Rs.3.06 B) Rs.2.04
C) Rs.3.65 D) Rs.5.40
 
Answer & Explanation Answer: B) Rs.2.04

Explanation:

 C.I. when interest compounded yearly

Rs.5000*1+4100*1+12*4100

 Rs.5000*2625*5150

=Rs.5034

 

C.I. when interest iscompounded half-yearly 

 Rs.5000*1+21003

= Rs. 5306.04

Difference = Rs. (5306.04 - 5304) = Rs. 2.04

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

1 5511
Q:

Three of the following four pairs of alphas and numerals have same relationship between their elements as in the case of the pair PROBLEM : 2948375 and hence form a group. Which one does not belong to the group?

A) BORE : 8497 B) MOEP : 5972
C) LBOR : 3849 D) OMEP : 4572
 
Answer & Explanation Answer: B) MOEP : 5972

Explanation:

Here simple coding language has been used. Each letter has been assigned a numeric code and the respective code of letters are in the same order as the letters. 

 

Letter      B  E  L  M  O  P  R

 

Code         8  7  3  5  4  2  9

 

 

 BORE -> 8497 -- correct

 MOEP -> 5472 But given 5972 --- Incorrect

 LBOR -> 3849  -- correct

OMEP -> 4572  -- correct

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Filed Under: Classification
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
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52 5506
Q:

The least number of complete years in which a sum of money put out at 20% C.I. will be more than doubled is  ?

A) 3 years B) 4 years
C) 2.5 years D) 2 years
 
Answer & Explanation Answer: B) 4 years

Explanation:

P1+20100n > 2P 

 

 

 

Now, (6/5 x 6/5 x 6/5 x 6/5) > 2.

 

 

 

So, n = 4 years.

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Filed Under: Compound Interest
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
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11 5503
Q:

What is the probability of an impossible event?

A) 0 B) -1
C) 0.1 D) 1
 
Answer & Explanation Answer: A) 0

Explanation:

The probability of an impossible event is 0.

The event is known ahead of time to be not possible, therefore by definition in mathematics, the probability is defined to be 0 which means it can never happen.

 

The probability of a certain event is 1.

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17 5499