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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Q:

The number of solutions of the equation logx2x2+40log4xx-14log16xx3=0 is:

A) 0 B) 1
C) 2 D) 3
 
Answer & Explanation Answer: D) 3

Explanation:
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Filed Under: Logarithms
Exam Prep: AIEEE , Bank Exams , CAT
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14 4571
Q:

What periodic payment will an investor receive from a $9000, four-year, monthly payment GIC earning a nominal rate of 5.25% compounded monthly?

A) 29.38 B) 39.38
C) 49.38 D) 59.38
 
Answer & Explanation Answer: B) 39.38

Explanation:

i=j/m

The monthly payment will be=PV*I

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Filed Under: Compound Interest
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0 4570
Q:

In how many different ways can the letters of the word 'ABYSMAL' be arranged ?

A) 5040 B) 3650
C) 4150 D) 2520
 
Answer & Explanation Answer: D) 2520

Explanation:

Total number of letters in the word ABYSMAL are 7

 

Number of ways these 7 letters can be arranged are 7! ways

 

But the letter is repeated and this can be arranged in 2! ways

 

Total number of ways arranging ABYSMAL = 7!/2! = 5040/2 = 2520 ways.

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Filed Under: Permutations and Combinations
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13 4568
Q:

The value of 13log10125 - 2log104 + log1032 :

A) 0 B) 1
C) 2 D) 4/5
 
Answer & Explanation Answer: B) 1

Explanation:
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Filed Under: Logarithms
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Q:

Study the following diagram and answer questions based on it.

 

 

The diagram represents the favourite ice-cream flavours of kids in a society.

 

How many kids like both Chocolate and Vanilla but not Strawberry?

A) 5 B) 7
C) 12 D) 15
 
Answer & Explanation Answer: D) 15

Explanation:
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Filed Under: Logical Venn Diagram
Exam Prep: Bank Exams

0 4562
Q:

The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and 15 as remainder. What is the smaller number  ?

A) 270 B) 1270
C) 350 D) 720
 
Answer & Explanation Answer: A) 270

Explanation:

Let the smallest number be x.
Then larger number = (x + 1365)
x + 1365 = 6x + 15
= 5x = 1350
x = 270
Smaller number = 270.

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Filed Under: Problems on Numbers
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Q:

Three strategies P, Q and R have been initiated for cost cutting in a company producing respectively 20%, 30% and 10% savings. Assuming that they operate independently, what is the net saving achieved ?

A) 49.6% B) 50.4%
C) 33.67% D) 66.66%
 
Answer & Explanation Answer: A) 49.6%

Explanation:

As these three strategies P, Q and R are independent so these will cut cost one after the other.
If initial cost is Rs 100, then
20% cost is cut after initializing strategy P, then cost will remain 80% = 80
further 30% cost is cut after strategy Q, then cost will remain 70% of 80 = 56
further 10% cost is cut after strategy R, then cost will remain 90% of 56 = 50.4

Thus final cost remains 50.4 % of the original cost. Hence net saving is 100 - 50.4 = 49.6 %.

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Filed Under: Percentage
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