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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

A bus travels 2/5 of a total journey at its usual speed. The remaining distance was covered by bus at 6/7 of its usual speed. Due to slow speed it reaches its destination 50 minutes late. If the total distance is 200 kms, then what is the usual speed (in km/hr) of bus?

A) 20.57 B) 24
C) 28 D) 26.52
 
Answer & Explanation Answer: B) 24

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

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Q:

If 1/a+1/b+1/c = 1/(a+b+c) where a+b+c not equals '0', abc not equals '0', What is the value of (a+b) (b+c) (a+c) ?

A) 3 B) 2
C) 1 D) 0
 
Answer & Explanation Answer: D) 0

Explanation:

Let assume the value of a,b &c that will satisfy the equation.
so a=1,b=1,c= -1 or a=1,b= -1 &c=1 or a= -1,b=1,c=1
here all three cases satisfy the equation
assume any one a=1,b=1,c= -1

Hence (a+b)(b+c)(c+a)=(1+1)(1-1)(-1+1) = 0

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

5 3956
Q:

Three medians AD, BE and CF of ΔABC intersect at G; Area of ΔABC is 36 sq cm. Then the area of ΔCGE is

A) 12 sq cm B) 6 sq cm
C) 9 sq cm D) 18 sq cm
 
Answer & Explanation Answer: B) 6 sq cm

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

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Q:

Tushar takes 6 hours to complete a piece of work, while Amar completes the same work in 10 hours. If both of them work together, then what is the time required to complete the work?

 

A)  3 hours B) 3 hours 15 minutes
C) 3 hours 30 minutes D) 3 hours 45 minutes
 
Answer & Explanation Answer: D) 3 hours 45 minutes

Explanation:

Let them take x hours working together

1/x = 1/10 + 1/6 = 8/30

X= 30/8 hours = 15/4 hours = 3 hours 45 minutes

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Filed Under: Time and Work
Exam Prep: Bank Exams

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Q:

P starts a business with Rs 14000. After 8 months Q joins P with Rs 8000. After 3 years, what will be the ratio of the profit of P and Q?

A) 12 : 5 B) 9 : 4
C) 14 : 9 D) 15 : 8
 
Answer & Explanation Answer: B) 9 : 4

Explanation:
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Filed Under: Partnership
Exam Prep: Bank Exams

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Q:

If there is a total of 104 weekly instalments and a third deposit, find the interest rate

A) 2.82 B) 3.82
C) 4.82 D) 5.82
 
Answer & Explanation Answer: C) 4.82

Explanation:

R = (100 x I)/( P x T)

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

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Q:

5 + 2 x 10/2 = ?

A) 15 B) 35
C) 10 D) 20
 
Answer & Explanation Answer: A) 15

Explanation:

Using BODMAS Rule,

First solve division, mutiplication and Addition

So here 10/2 = 5

Then 2 x 5 =  10

Now, 5 + 10 = 15.

 

Hence, 5 + 2 x 10/2 = 15.

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

5 3928
Q:

A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of the man is:

A) 12 B) 60
C) 72 D) 90
 
Answer & Explanation Answer: B) 60

Explanation:

Volume of water displaced = (3 x 2 x 0.01) = 0.06 cu.m. 

Mass of man = Volume of water displaced x Density of water

 = (0.06 x 1000) kg

 = 60 kg.

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Filed Under: Volume and Surface Area

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