Aptitude and Reasoning Questions

Q:

Eight first class and six second class petty officers are on the board of the 56 club. In how many ways can the members elect, from the board, a president, a vice-president, a secretary, and a treasurer if the president and secretary must be first class petty officers and the vice-president and treasurer must be second class petty officers?

A) 1500 B) 1860
C) 1680 D) 1640
 
Answer & Explanation Answer: C) 1680

Explanation:

Since two of the eight first class petty officers are to fill two different offices, we write 8P2=56

 

Then, two of the six second class petty officers are to fill two different offices; thus, we write 6P2 =30

 

The principle of choice holds in this case; therefore, the members have 56 x 30 = 1680 ways to select the required office holders

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0 4912
Q:

What does this symbol mean '&'?

A) Caret B) Bar
C) Ampersand D) Reversed Caret
 
Answer & Explanation Answer: C) Ampersand

Explanation:

'&' is a Logical Symbol and is called as Ampersand.

 

^ is called Caret

- is called Bar

v is called Reversed Caret.

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Filed Under: Analytical Reasoning
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
Job Role: Analyst , Bank Clerk

17 4908
Q:

A container contains 120 lit of Diesel. From this container, 12 lit of Diesel was taken out and replaced by kerosene. This process was further repeated for two times. How much diesel is now there in the container ?

A) 88.01 lit B) 87.48 lit
C) 87.51 lit D) 87.62 lit
 
Answer & Explanation Answer: B) 87.48 lit

Explanation:

For these type of problems,

Quantity of Diesel remained = q1-pqn   

 

Here p = 12 , q = 120 

 

=> 1201-121203 = 120 x 0.9 x 0.9 x 0.9 = 87.48 lit.

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Filed Under: Alligation or Mixture
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

14 4907
Q:

A lady took loan from a bank at the rate of 12% p.a. simple interest. After 3 years she had to pay Rs. 5400 interest only for the period. The principal amount borrowed by her was :

A) Rs. 15,000 B) Rs. 1,50,000
C) Rs. 1500 D) Rs. 1,62,000
 
Answer & Explanation Answer: A) Rs. 15,000

Explanation:

Principal = Rs.(100 x 5400)/(12 x 3)= Rs. 15000.

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

3 4906
Q:

Manideep purchases 30kg of barley at the rate of 11.50/kg and 20kg at the rate of 14.25/kg. He mixed the two and sold the mixture in the shop. At what price per kg should he sell the mixture to make 30% profit to him ?

A) 15.84 B) 14.92
C) 13.98 D) 16.38
 
Answer & Explanation Answer: D) 16.38

Explanation:

Given, Manideep purchases 30kg of barley at the rate of 11.50/kg nad 20kg at the rate of 14.25/kg.

Total cost of the mixture of barley = (30 x 11.50) + (20 x 14.25)

=> Total cost of the mixture = Rs. 630

Total kgs of the mixture = 30 + 20 = 50kg

Cost of mixture/kg = 630/50 = 12.6/kg

To make 30% of profit

=> Selling price for manideep = 12.6 + 30% x 12.6

=> Selling price for manideep = 12.6 + 3.78 = 16.38/kg.

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Filed Under: Alligation or Mixture
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

11 4905
Q:

A series is given with one term missing. Choose the correct alternative from the given ones that will complete the series.

5, 10, 13, 52, 57, ?

A) 285 B) 225
C) 342 D) 390
 
Answer & Explanation Answer: C) 342

Explanation:
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Filed Under: Number Series
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

8 4901
Q:

On selling 17 balls at Rs.720 there is a loss equal to the cost price of 5 balls. Then what is the cost price of a ball is ?

Answer

From given data,


(C.P. of 17 balls) - (S.P. of 17 balls) = (C.P. of 5 balls)


C.P. of 12 balls = S.P. of 17 balls = Rs.720.


Hence, C.P. of 1 ball = Rs.720/12 = Rs. 60.

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

11 4899
Q:

Of three positive numbers, the ratio of the first and second numbers is 3:4 & that of the second and third numbers is 5:6. The product of the second and third numbers is 4320. What is the sum of three numbers?

A) 167 B) 177
C) 187 D) 197
 
Answer & Explanation Answer: B) 177

Explanation:

Let the second & third numbers are 2x & 3x respectively.
ATQ,
5x*6x = 4320
30*x*x = 4320
x*x = 144
x=12
Hence, second number = 5x = 5*12 = 60
Third number = 6x = 6*12 = 72
Ratio of first & second number = ¾
Hence, first number = ( ¾)*60 = 45
Sum of these 3 numbers = 60+72+45 = 177

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

5 4897