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 Quantitative Aptitude - Arithmetic Ability Questions

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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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Filed Under: Permutations and Combinations
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7 3045
Q:

Tapan, Ravi and Trisha shared a cake. Tapan had 1/4 of it, Trisha had 2/3 of it and Ravi had the rest. What was Ravi's share of the cake?

A) 4/7 B) 1/12
C) 1/6 D) 2/6
 
Answer & Explanation Answer: B) 1/12

Explanation:
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Filed Under: Partnership
Exam Prep: Bank Exams

8 3041
Q:

If cosec 135° = x, then the value of x is

A) √2 B) 2
C) -√2 D) 1/√3
 
Answer & Explanation Answer: A) √2

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

1 3039
Q:

B starts 4.5 minutes after A from the same point, for a place at a distance of 3.5 miles from the starting point. A on reaching the destination turns back and walk a mile where he meets B. If A's speed is a mile in 6 minutes then B's speed is a mile in ____ minutes?

A) 8 B) 10
C) 12 D) 9
 
Answer & Explanation Answer: D) 9

Explanation:
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Filed Under: Time and Distance
Exam Prep: Bank Exams

5 3033
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
Exam Prep: Bank Exams

3 3030
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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Filed Under: Numbers
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4 3029
Q:

Sairam spent Rs. 38460 on the renovation of his home and Rs. 24468 on buying TV set and remained with 28% of the total amount. What was the total amount?

A) Rs. 87400 B) Rs. 68700
C) Rs. 74000 D) Rs. 94060
 
Answer & Explanation Answer: A) Rs. 87400

Explanation:

Let the total amount he had with = Rs. p

From the given data,

p - 38460 - 24468 = 28p/100

p - 28p/100 = 24468 + 38460

72p/100 = 62928

72p = 62928 x 100

p = 62928 x 100/72

p = 87400

 

Hence, the total amount he had = p = Rs. 87400.

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Filed Under: Percentage
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4 3025
Q:

In the diagram, M is the midpoint of YZ, angle XMZ = 32°, and angle XYZ = 16°. The measure of angle XZY is:

A) 68° B) 84°
C) 78° D) 74°
 
Answer & Explanation Answer: D) 74°

Explanation:
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Filed Under: Quantitative Aptitude - Arithmetic Ability

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