Quantitative Aptitude - Arithmetic Ability Questions

Q:

What is the fourth proportional to 189, 273 and 153?

A) 117 B) 299
C) 221 D) 187
 
Answer & Explanation Answer: C) 221

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

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Q:

Train A takes 45 minutes more than train B to travel a distance of 450 km. Due to engine trouble speed of train B falls by a quarter, so it takes 30 minutes more than Train A to complete the same journey. What is the speed of Train A (in km/hr)?

A) 90 B) 120
C) 100 D) 110
 
Answer & Explanation Answer: C) 100

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Filed Under: Problems on Trains
Exam Prep: Bank Exams

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Q:

The bankers discount on Rs 1800 at 12 % per annum is equal to the true discount on Rs 1872 for the same time at the same rate .Find the time.

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

Explanation:

S.I on Rs 1800 = T.D on Rs 1872

P.W of Rs 1872 is Rs 1800

Rs 72 is S.I on Rs 1800 at 12%

Time = (100 * 72)/(12 * 1800)

= 1/3 years = 4 months

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Filed Under: Banker's Discount

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Q:

If the truediscount on a sum due 2yrs hence at 14% per annum be Rs168. The sum due is?

A) 700 B) 760
C) 768 D) 786
 
Answer & Explanation Answer: C) 768

Explanation:

P.W = (100 x T.D)/(R x T)  = (100 x 168)/(14 x 2)= 600 

Sum = (P.W + T.D) = Rs. (600+ 168) = Rs.768.

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Filed Under: True Discount

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Q:

If (x/a) + (y/b) = 3 and (x/b) – (y/a) = 9, then what is the value of x/y?

A) ( b + 3 a)/( a – 3 b) B) ( a + 3 b)/( b – 3 a)
C) (1 + 3 a)/( a + 3 b) D) ( a + 3 b2)/( b – 3 a2)
 
Answer & Explanation Answer: A) ( b + 3 a)/( a – 3 b)

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Filed Under: Simplification
Exam Prep: Bank Exams

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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

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Q:

Average age of 20 students is 21 years. 2 students leave the group and 1 new student joins the group. The average now becomes 20 years. If age of one of the student who left the group is 26 years and the one who joined is 20 years, then what is the age (in years) of the other student who left the group?

A) 20 B) 14
C) 22 D) 16
 
Answer & Explanation Answer: B) 14

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Filed Under: Average
Exam Prep: Bank Exams

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Q:

If N = 1 + 11 + 111 + 1111 + ... +111111111, then what is the sum of the digit's of N?

A) 45 B) 18
C) 36 D) 5
 
Answer & Explanation Answer: A) 45

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Filed Under: Numbers
Exam Prep: Bank Exams

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