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:

A man travels 3⁄4th of the distance of his journey by bus, 1⁄6th by Rickshaw and 2 km on foot. Then total distance travelled by the man is

A) 12 km B) 18 km
C) 20 km D) 24 km
 
Answer & Explanation Answer: D) 24 km

Explanation:
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Filed Under: Time and Distance
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Q:

In how many different ways the letters of the word 'TRANSFORMER' can be arranged such that 'N' and 'S' always come together?

A) 112420 B) 85120
C) 40320 D) 1209600
 
Answer & Explanation Answer: D) 1209600

Explanation:

Given word is TRANSFORMER.

Number of letters in the given word = 11 (3 R's)

 

Required, number of ways the letters of the word 'TRANSFORMER' can be arranged such that 'N' and 'S' always come together is

10! x 2!/3!

= 3628800 x 2/6

= 1209600

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Q:

A shopkeeper sells a table at a discount of 20% and earns a profit of 60%. If he sells the same table at 40% discount, then what will be his new profit percent?

A) 20 B) 30
C) 35 D) 40
 
Answer & Explanation Answer: A) 20

Explanation:
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Filed Under: Profit and Loss
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Q:

Priya got 9 marks more in History than what she got in Geography. Her history marks are 56% of the sum of her History and Geography marks. What are her Geography marks?

A) 42 B) 65
C) 53 D) 33
 
Answer & Explanation Answer: D) 33

Explanation:
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Filed Under: Percentage
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Q:

A prime number contains the digit X at unit’s place. How many such digits of X are possible?

A) 3 B) 4
C) 5 D) 6
 
Answer & Explanation Answer: D) 6

Explanation:
For prime no units place cannot be occupied by even number except for 2
Thus no of digits occupying unit digit of prime numbers = 6 (1,2,3,5,7,9)
Example 2,3,5,7,11,19 in itself are prime numbers
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Filed Under: Numbers
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Q:

A used car dealer sells a car for Rs 7.6 lakhs and makes some loss. If he had sold it for Rs 9.2 lakhs his profit would have been thrice his loss. What was the cost price of the car (in Rs lakhs)?

A) 8.5 B) 8.75
C) 8.25 D) 8
 
Answer & Explanation Answer: D) 8

Explanation:
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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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