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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

Find the greatest number that will divide 964, 1238 and 1400 leaving remainder of 41,31 and 51 respectively ?

A) 64 B) 69
C) 71 D) 58
 
Answer & Explanation Answer: C) 71

Explanation:

To find the greatest number which divides the numbers 964, 1238 and 1400 leaving the remainders 41, 31 and 51 is nothing but the HCF of (964 - 41), (1238 - 31), (1400 - 51).

Therefore, HCF of 923, 1207 and 1349 is 71.

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Filed Under: HCF and LCM
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
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20 14892
Q:

A cubical block of metal weighs 6 pounds. How much will another cube of the same metal weigh if its sides are twice as long?

A) 48 B) 12
C) 36 D) 60
 
Answer & Explanation Answer: A) 48

Explanation:

If you double the sides of a cube, the ratio of the surface areas of the old and new cubes will be 1: 4. The ratio of the volumes of the old and new cubes will be 1: 8.

Weight is proportional to volume. So, If the first weighs 6 pounds, the second weighs 6x8 pounds =48.

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Filed Under: Ratios and Proportions
Exam Prep: GRE

44 14873
Q:

The capacity of a tank of dimensions (8m x 6m x 2.5m)is

A) 120 litres B) 1200 litres
C) 12000 litres D) 120000 litres
 
Answer & Explanation Answer: D) 120000 litres

Explanation:

capacity of a tank = volume of tank 

= [ (8 x 100) x (6 x 100) x (2.5 x 100) ]/ 1000 litres 

= 120000 litres

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams
Job Role: Bank PO

12 14870
Q:

Simple interest on a certain sum of money for 3 years at 8% per annum is half the compound interest on Rs. 4000 for 2 years at 10% per annum. The sum placed on simple interest is:

A) Rs.1550 B) Rs.1650
C) Rs,1750 D) Rs.1850
 
Answer & Explanation Answer: C) Rs,1750

Explanation:

C.I.= Rs.[4000*(1+10/100)^2-4000]

 =Rs.840

sum=Rs.(420 * 100)/3*8=Rs.1750

 

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

23 14864
Q:

Read the following question and decide which of the given statements is/are sufficient.

 

If X is a natural number, is X+6 odd?

 

Statements :

 

1. X - 15 is a whole number.

2. X - 6 is an odd number.

 

A) 2 alone is sufficient while 1 alone is not sufficient to answer the question B) Both 1 and 2 together are sufficient to answer the question
C) Either 1 or 2 is sufficient to answer the question D) 1 alone is sufficient while 2 alone is not sufficient to answer the question
 
Answer & Explanation Answer: A) 2 alone is sufficient while 1 alone is not sufficient to answer the question

Explanation:
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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

0 14859
Q:

Two trains, one from Hyderabd to Bangalore and the other from Bangalore to Hyderabad, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is  ?

A) 3 : 4 B) 4 : 3
C) 2 : 3 D) 3 : 2
 
Answer & Explanation Answer: B) 4 : 3

Explanation:

Let us name the trains as A and B.

Then, (A's speed) : (B's speed)

= √b : √a = √16 : √9 = 4:3

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Filed Under: Problems on Trains
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5 14828
Q:

A man in a train notices that he can count 41 telephone posts in one minute. If they are known to be 50 metres apart, then at what speed is the train travelling?

A) 60 km/hr B) 100 km/hr
C) 110 km/hr D) 120 km/hr
 
Answer & Explanation Answer: D) 120 km/hr

Explanation:

Number of gaps between 41 poles = 40
So total distance between 41 poles = 40*50
= 2000 meter = 2 km
In 1 minute train is moving 2 km/minute.
Speed in hour = 2*60 = 120 km/hour

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Filed Under: Time and Distance
Exam Prep: GRE

25 14808
Q:

A garrison of 2000 men has provisions for 54 days. At the end of 15 days, a reinforcement arrives, and it is now found that the provisions will last only for 20 days more. What is the reinforcement ?

A) 1900 B) 2100
C) 1700 D) 2000
 
Answer & Explanation Answer: A) 1900

Explanation:

Given 2000 ---- 54 days

The provisions for 2000 men for 39 days can be completed by 'm' men for only 20 days.

i.e, 2000 ----- 39 days == m ---- 20 days

=> m x 20 = 2000 x 39

m = 3900

So total men for 20 days is 3900

=> 2000 old and 1900 new reinforcement.

Hence, reinforcement = 1900.

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Filed Under: Time and Work
Exam Prep: GATE , CAT , Bank Exams , AIEEE
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10 14795