Quantitative Aptitude - Arithmetic Ability Questions

Q:

In a two-digit number, the digit in the unit's place is more than twice the digit in ten's place by 1. If the digits in the unit's place and the ten's place are interchanged,difference between the newly formed number and the oiginal number is less than the original number by 1. What is the original number ?

A) 35 B) 36
C) 37 D) 39
 
Answer & Explanation Answer: C) 37

Explanation:

Let the ten's digit be x. Then, unit's digit = 2x + 1.

[10x + (2x + 1)] - [{10 (2x + 1) + x} - {10x + (2x + 1)}] = 1

<=> (12x + 1) - (9x + 9) = 1 <=> 3x = 9, x =  3.

So, ten's digit = 3 and unit's digit = 7. Hence, original number = 37.

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Filed Under: Problems on Numbers

55 40969
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

3 40949
Q:

Simple interest on a certain sum is 16/25 of the sum. Find the rate percent and time, If both are numerically equal.

A) Rate = 7% and Time = 7 years. B) Rate = 8% and Time = 8 years.
C) Rate = 6% and Time = 6 years. D) Rate = 5% and Time = 5 years.
 
Answer & Explanation Answer: B) Rate = 8% and Time = 8 years.

Explanation:

Let sum = X. Then S.I = 16x/25

 

Let rate = R% and Time = R years.

 

Therefore,  (x * R * R)/100 = 16x/25   =>  R = 40/5 = 8

 

Therefore, Rate = 8% and Time = 8 years.

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Filed Under: Simple Interest
Exam Prep: GRE

112 40876
Q:

Consider the figure shown below and choose the correct option for the length of MN.

 

A) d2-r1-r22 B) d2+r1-r22
C) d2-r1-r22 D) d+r1-r22
 
Answer & Explanation Answer: A) d2-r1-r22

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

0 40828
Q:

On 8th Feb, 2005 it was Tuesday. What was the day of the week on 8th Feb, 2004?

A) Tuesday B) Saturday
C) Friday D) Sunday
 
Answer & Explanation Answer: D) Sunday

Explanation:

The year 2004 is a leap year. It has 2 odd days.

The day on 8th Feb, 2004 is 2 days before the day on 8th Feb, 2005.

Hence, this day is Sunday

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Filed Under: Calendar

139 40639
Q:

If x2 + kx + k = 0, has two distinct real solutions, then the value of k will satisfy

 

A) k<0 or k>4 B) k>4 only
C) 0<k<4 D) k<0 only
 
Answer & Explanation Answer: A) k<0 or k>4

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

0 40553
Q:

 The average age of 8 men is increased by years when two of them whose ages are 21 years and 23 years are replaced by two new men. The average age of the two new men is :

A) 20 B) 30
C) 40 D) 50
 
Answer & Explanation Answer: B) 30

Explanation:

Total age increased = (8 * 2) years = 16 years.

Sum of ages of two new men = (21 + 23 + 16) years = 60 years

Average age of two new men = (60/2) years = 30 years.

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Filed Under: Average

86 40443
Q:

In a 100 m race, A can give B 10 m and C 28 m. In the same race B can give C

A) 18 m B) 20 m
C) 27 m D) 9m
 
Answer & Explanation Answer: B) 20 m

Explanation:

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Filed Under: Races and Games

35 40323