Quantitative Aptitude - Arithmetic Ability Questions

Q:

A shopkeeper sells a table at a discount of 20% and earns a profit of 60%. If he sells the same table at 40% discount, then what will be his new profit percent?

A) 20 B) 30
C) 35 D) 40
 
Answer & Explanation Answer: A) 20

Explanation:
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Filed Under: Profit and Loss
Exam Prep: Bank Exams

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Q:

A bottle is full of dettol. One-third of it is taken out and then an equal amount of water is poured into the bottle to fill it. This operation is done four times. Find the final ratio of dettol and water in the bottle.

A) 13 : 55 B) 20 : 74
C) 16 : 65 D) 10 : 48
 
Answer & Explanation Answer: C) 16 : 65

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Q:

What is the sum of all 3 digits number that can be formed using digits 0,1,2,3,4,5 with no repitition ?

A) 28450 B) 26340
C) 32640 D) 36450
 
Answer & Explanation Answer: C) 32640

Explanation:

We know that zero can't be in hundreds place. But let's assume that our number could start with zero.

 

The formula to find sum of all numbers in a permutation is

 

111 x no of ways numbers can be formed for a number at given position x sum of all given digits

 

No of 1 s depends on number of digits

 

So,the answer us

 

111 x 20 x (0+1+2+3+4+5) = 33300

 

We got 20 as follows. If we have 0 in units place we can form a number in 4*5 ways. This is for all numbers. So we have substituted 20 in formula.

 

Now, this is not the final answer because we have included 0 in hundreds place. so we have to remove the sum of all numbers that starts with 0.

 

This is nothing but the sum of all 2 digits numbers formed by 1 2 3 4 5. Because 0 at first place makes it a 2 digit number.

 

So the sum for this is 11 x 4 x (1+2+3+4+5).
=660

 

Hope u understood why we use 4. Each number can be formed in 4x1 ways

 

So, the final answer is 33300-660 = 32640

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Filed Under: Permutations and Combinations
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

2 3091
Q:

2% of a = b, then b% of 10 is the same as:

A) 200% of a B) 20% of a/100
C) 20% of a/10 D) 200% of a/10
 
Answer & Explanation Answer: C) 20% of a/10

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Filed Under: Percentage
Exam Prep: Bank Exams

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Q:

A missile travels at 1422 km/h. How many metres does it travel in one second?

A) 395 metres B) 400 metres
C) 364 metres D) 319 metres
 
Answer & Explanation Answer: A) 395 metres

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Filed Under: Time and Distance
Exam Prep: Bank Exams

1 3090
Q:

Working together A, B and C can complete a task in 12 days. A and B can do the task in 55 days and 66 days respectively if they worked alone. In how many days can C do the task if he worked alone?

A) 22 B) 44
C) 20 D) 40
 
Answer & Explanation Answer: C) 20

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Filed Under: Time and Work
Exam Prep: Bank Exams

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Q:

A used car dealer sells a car for Rs 7.6 lakhs and makes some loss. If he had sold it for Rs 9.2 lakhs his profit would have been thrice his loss. What was the cost price of the car (in Rs lakhs)?

A) 8.5 B) 8.75
C) 8.25 D) 8
 
Answer & Explanation Answer: D) 8

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

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Q:

The value of 1+22+23+24+...+29 is

A) 255 B) 511
C) 1021 D) 2047
 
Answer & Explanation Answer: C) 1021

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Filed Under: Numbers
Exam Prep: Bank Exams , CAT

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