Aptitude and Reasoning Questions

Q:

(51 + 52 + 53 + .........+100) is equal to

Answer

51 + 52 + 53 + ...........+ 100


 = (1 + 2 + 3 + .... + 100) - (1 + 2 + 3 + ...... + 50)


 = It is in the form of n(n+1)2 series summation


= n1 = 100 , n2 = 50


=100100+12 - 5050+12


 =  (5050 - 1275) = 3775

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Subject: Numbers Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

300 61230
Q:

Find the odd one out of the following number series?

56, 64, 48, 90, 16, 144

 

A) 48 B) 64
C) 90 D) 16
 
Answer & Explanation Answer: C) 90

Explanation:

The given number series follows a pattern that,

56

56 + 8 = 64

64 - 16 = 48

48 + 32 = 80 (Not equal to 90)

80 - 64 = 16

16 + 128 = 144 

 

Hence, the odd number in the given number series is 90.

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4 61200
Q:

Question :

What is the sum which earned interest ?

Statements :

a. The total simple interest was Rs. 9000 after 9 years.
b. The total of sum and simple interest was double of the sum after 6 years.

A) Only a is sufficient B) Neither a nor b is sufficient
C) Only b is sufficient D) Both a and b sufficient
 
Answer & Explanation Answer: D) Both a and b sufficient

Explanation:

Let the sum be Rs. x

a. gives, S.I = Rs. 9000 and time = 9 years.

b. gives, Sum + S.I for 6 years = 2 x Sum

--> Sum = S.I for 6 years.


Now, S.I for 9 years = Rs. 9000

S.I for 1 year = Rs. 9000/9 = Rs. 1000.

S.I for 6 years = Rs. (1000 x 6)= Rs. 6000.

--> x = Rs. 6000

Thus, both a and b are necessary to answer the question.

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

6 61173
Q:

The average of 11 numbers is 10.9. If the average of the first six numbers is 10.5 and that of the last six numbers is 11.4, then the middle number is :

A) 10.5 B) 11.5
C) 12.5 D) 13.5
 
Answer & Explanation Answer: B) 11.5

Explanation:

Middle numbers  =  [(10.5 x 6 + 11.4 x 6) - 10.9 x 11] = (131.4 - 119-9) = 11.5.

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Filed Under: Average

103 60920
Q:

Find the missing term in the following series ?

10000, 11000, 9900, 10890, ?, 10781

A) 10423 B) 9801
C) 10241 D) 9712
 
Answer & Explanation Answer: B) 9801

Explanation:

Clearly, alternatively we add and subtract 10% of a term to obtain the next term of the series.
Thus, 10000 + (10% of 10000)= 11000;
11000 - (10% of 11000) = 9900;
 9900 + (10% of 9900)  = 10890;
10890 - (10% of 10890) = 9801.
 9801 + (10% of 9801)  = 9801+980 = 10781.
So, missing term = 10890- (10% of 10890)= 9801.

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Filed Under: Number Series
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
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90 60835
Q:

The following equation is incorrect. Which two signs should be interchanged to correct the equation?


8 ÷ 2 - 50 x 6 + 16 = 50

 

A) + and ÷ B) - and +
C) + and x D) ÷ and x
 
Answer & Explanation Answer: C) + and x

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

10 60800
Q:

Some tapes are discs. Some discs are cassettes. Some cassettes are songs

Conclusions:

1. Some songs are discs

2. Some cassettes are tapes

3. Some songs are tapes

4. No song is a disc

A) Only either 1 or 4 follows B) Only either 2 or 4 follows
C) Only 3 and 4 follow D) Only 3 and either 2 or 4 follows
 
Answer & Explanation Answer: A) Only either 1 or 4 follows

Explanation:

Since each combiantion of premise contain 2 particular premises, no definite conclusion can be drawn. However, 1 and 4 involve the extreme terms of 2nd and 3rd premises and form a complementary pair. Thus either 1 or 4 follows.

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19 60528
Q:

The mean of 50 observations was 36. It was found later that an observation 48 was wrongly taken as 23. The corrected new mean is :

A) 35 B) 36.5
C) 40 D) 42
 
Answer & Explanation Answer: B) 36.5

Explanation:

Correct Sum = (36 * 50 + 48 - 23) = 1825.

Correct mean = = 1825/50 = 36.5

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Filed Under: Average

183 60385