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 41259
Q:

If 3/5 of x is equal to 4/9 of y, then what is the ratio of x and y?

 

A) 11 : 15 B) 15 : 23
C) 20 : 27 D) 14 : 25
 
Answer & Explanation Answer: D) 14 : 25

Explanation:
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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

11 41133
Q:

Simplify : 5x - 2x(x-1)

 

A) 3x-2 B) 3x+2
C) 7x+2x2 D) 7x-2x2
 
Answer & Explanation Answer: D) 7x-2x2

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

0 41132
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 41121
Q:

What is the positive square root of [25 + 4√39]?

 

A) √13 + 2√3   B) √13 + 3√2  
C) √11 + 2√3 D) 11 + 3√2  
 
Answer & Explanation Answer: A) √13 + 2√3  

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

0 41099
Q:

Solve the following :

 

196 - 19.6 - 1.96 - 0.196 = ?

 

A) 173.254 B) 173.234
C) 174.234 D) 174.244
 
Answer & Explanation Answer: D) 174.244

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

0 41099
Q:

In the following question, correct the equation by interchanging two signs.

4 x 3 – 6 ÷ 2 + 7 = 8

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

Explanation:
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Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , CAT

0 40965
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 40882