Quantitative Aptitude - Arithmetic Ability Questions

Q:

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

A) 89,972 B) 90,720
C) 72,000 D) 81,000
 
Answer & Explanation Answer: B) 90,720

Explanation:

The given word HAPPYHOLI has 9 letters

These 9 letters can e arranged in 9! ways.

But here in the given word letters H & P are repeated twice each

Therefore, Number of ways these 9 letters can be arranged is 

9!2! x 2! = 9 x 8 x 7 x 6 x 5 x 4 x 32 = 90,720 ways.

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Filed Under: Permutations and Combinations
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Q:

The difference between two numbers is 3355. When the larger number is divided by the smaller one, the quotient is 6 and the remainder is 15. The smaller number and larger number respectively ?

A) 546, 3901 B) 415, 3770
C) 668, 4023 D) 404, 3759
 
Answer & Explanation Answer: C) 668, 4023

Explanation:

Let the smaller number be k.
Then, larger number = (3355 + k)
Therefore 3355 + k = (6k + 15)
‹=› 5k = 3340
‹=› k = 668.

Therefore, the smaller number k = 668 and now the larger number = 3355+668 = 4023.

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Q:

2% of a = b, then b% of 10 is the same as:

A) 200% of a B) 20% of a/100
C) 20% of a/10 D) 200% of a/10
 
Answer & Explanation Answer: C) 20% of a/10

Explanation:
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Filed Under: Percentage
Exam Prep: Bank Exams

11 2827
Q:

X starts a business with Rs 80000. After 6 months Y joins X with Rs 100000. After 2 years, what will be the ratio of profit of X and Y?

A) 16 : 15 B) 4 : 5
C) 8 : 9 D) 14 : 15
 
Answer & Explanation Answer: A) 16 : 15

Explanation:
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Filed Under: Partnership
Exam Prep: Bank Exams

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Q:

Arun took a loan of Rs. 29000 with simple interest for as many years as the rate of interest. If he paid Rs. 10440 as interest at the end of the loan period, what was the rate of interest?

A) 5.5% B) 6%
C) 6.5% D) 7%
 
Answer & Explanation Answer: B) 6%

Explanation:

Principle amount = Rs. 29000

Interest = Rs. 10440

Let rate of interest = r%

=> So, time = r years

According to the question,

10440 = 29000 x r x r/100

290 x r x r = 10440

r x r = 1044/29 = 36

r = 6

 

Hence, the rate of interest = 6% and time = 6 yrs.

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Filed Under: Simple Interest
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Q:

Two cars start from a house at an interval of 10 min and travel at a speed of 20 kmph. With how much speed should a woman coming from the opposite direction towards the house travel, to meet the cars at an interval of 8 min?

A) 5 B) 6
C) 7 D) 4
 
Answer & Explanation Answer: A) 5

Explanation:
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Filed Under: Time and Distance
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9 2819
Q:

What is 5% of 4000?

A) 180 B) 200
C) 220 D) 240
 
Answer & Explanation Answer: B) 200

Explanation:

5% of 4000

= 5 x 4000/100

= 5 x 40

= 200

 

Hence, 5% of 4000 = 200.

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Filed Under: Percentage
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5 2818
Q:

5/8 as a Decimal Equals To

A) 0.625 B) 0.541
C) 0.258 D) 0.147
 
Answer & Explanation Answer: A) 0.625

Explanation:

5/8 is Nothing but to divide 5 into 8 parts.

 

 

As 5 is smaller than 8, the quotient starts with a decimal point to make 5 as 50 to be divisible by 8. (0.)

 

 

Now 50 goes for 6 times in 8 leaving a remainder 2. (0.6)

 

  

Again 2 is smaller than 8, As it already has decimal point in the quotient, now 2 becomes 20.

 

  

Now 20 goes for 2 times in 8 leaving a remainder 4. (0.62)

 

  

Again 4 is smaller than 8, As it already has decimal point in the quotient, now 4 becomes 40.

 

 

Now 40 goes for 5 times in 8 leaving a remainder 0. (0.625)

 

 

Therefore, the decimal value of 58 is 0.625.

 

Now find a decimal value of 1117 and Discuss your at Discuss.

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Filed Under: Decimal Fractions
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