Quantitative Aptitude - Arithmetic Ability Questions

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:

1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 x 0 + 1 + 1 = ?

A) 0 B) 2
C) 12 D) 10
 
Answer & Explanation Answer: C) 12

Explanation:

Given 

1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 x 0 + 1 + 1

Using BODMAS Rule,

As multiplication precedes addition, 1 x 0 = 0, 

Now, 10 + 0 + 1 + 1 = 10 + 2 = 12.

 

Hence, 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 x 0 + 1 + 1 = 12.

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Filed Under: Problems on Numbers
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

6 3185
Q:

Price of petrol increased from Rs 60/liter to Rs 75/liter. How much should the consumption of petrol be reduced (in %) so as to increase expenditure by only 10%?

A) 12 B) 20
C) 15 D) 18
 
Answer & Explanation Answer: A) 12

Explanation:
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Filed Under: Percentage
Exam Prep: Bank Exams

0 3179
Q:

Rs 6300 is divided among A, B and C in the ratio of 1/2 : 1 : 3/5. What is the share (in Rs) of B?

A) 3300 B) 2700
C) 3000 D) 4200
 
Answer & Explanation Answer: C) 3000

Explanation:
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Filed Under: Partnership
Exam Prep: Bank Exams , CAT

3 3176
Q:

C and D started a business by investing Rs 4000 and Rs 5000 respectively. After 3 months, C withdraws Rs 1000 while D invest Rs 1000 more after 6 months of the starting of business. At the end of the year C’s share is Rs 3900. What will be the total profit (in Rs) at the end of year?

A) 7800 B) 10500
C) 8400 D) 12200
 
Answer & Explanation Answer: B) 10500

Explanation:
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Filed Under: Partnership
Exam Prep: Bank Exams , CAT

2 3172
Q:

A thief drives his motor cycle at a speed of x kmph. The Policemen started chasing him in a jeep after 4 hrs and catches in 4 hrs. If the speed of jeep of policemen is 40 kmph, then calculate the speed of thief's motorcycle in kmph?

A) 30 B) 36
C) 45 D) 20
 
Answer & Explanation Answer: D) 20

Explanation:

Given that, speed of thief motorcycle is x kmph .

 

Given that, policemen started chasing him after 4 hours and catches him in 4 hours.

Distance travelled by the thief in 4 + 4 = 8 hours is d = s t 

=> d = 8x kms

 

Distance covered by the police in 4 hours is

D = 4 x 40 = 160 kms

 

To catch the thief, distance covered by the thief is equal to distance covered by the police .

 

Therefore,

d = D

 

d = 8x = 160 

x = 160/8 = 20

x = 20 kmph

 

Hence, the speed of thief's motorcycle is 20 km/hr.

 

 

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Filed Under: Time and Distance
Exam Prep: Bank Exams

0 3170
Q:

Due to a price hike of 20% , 4 kg less sugar is available for Rs. 120 . What is the initial price per kg of sugar ?

A) Rs. 5 Kg B) Rs. 4 Kg
C) Rs. 6 Kg D) Rs. 5.5 Kg
 
Answer & Explanation Answer: A) Rs. 5 Kg

Explanation:
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Filed Under: Average
Exam Prep: Bank Exams

3 3167
Q:

In the given figure, ,PQRS is a square whose side is 8 cm. PQS and QPR are two quadrants. A circle isplaced touching both the quadrants and the square as shown in the figure. What is the area (in sq.cm) of the circle?

A) 13/17 B) 11/14
C) 19/31 D) 15/19
 
Answer & Explanation Answer: B) 11/14

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

2 3167