Quantitative Aptitude - Arithmetic Ability Questions

Q:

Two filling taps P and Q together can fill a tank with rate of 40 lit/min and 60 lit/min respectively in 8 min. If a waste tap can empty the filled tank in 32 min, then what is the rate of waste tap ?

A) 34 lit/min B) 25 lit/min
C) 22 lit/min D) 18 lit/min
 
Answer & Explanation Answer: B) 25 lit/min

Explanation:

Given that the waste tap can empty the filled tank in 32 min.

Now, the rate at which the waste tap can empty the tank = (40 + 60)8/32 = 100/4 = 25 lit/min.

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Filed Under: Pipes and Cistern
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13 5005
Q:

The tax on an article decreases by 10% and its consumption increases by 10%. Find the effect percent on its revenue?

Answer

-10+10-10*10100  % = -1%


 


\inline \therefore Decrease in revenue = 1%

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Subject: Percentage Exam Prep: Bank Exams

13 4997
Q:

If rupee two produces rupees eleven over a period of 30 years, find the rate of simple interest ?

A) 17.25 % B) 18.14 %
C) 18.33 % D) 17.35 %
 
Answer & Explanation Answer: C) 18.33 %

Explanation:

We know that I = PTR/100

11 = (2x30xR)/100

R = 18.333 %

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Filed Under: Simple Interest
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3 4993
Q:

If two cards are taken one after another without replacing from a pack of 52 cards. What is the probability for the two cards be Ace ?

A) 51/1221 B) 42/221
C) 1/221 D) 52/1245
 
Answer & Explanation Answer: C) 1/221

Explanation:

Total Combination of getting a card from 52 cards = C152

Because there is no replacement, so number of cards after getting first card= 51

Now, Combination of getting an another card= C151


Total combination of getting 2 cards from 52 cards without replacement= (C152×C151


There are total 4 Ace in stack. Combination of getting 1 Ace is = C14

 

Because there is no replacement, So number of cards after getting first Ace = 3


Combination of getting an another Ace = C13

Total Combination of getting 2 Ace without replacement=C14×C13

Now,Probability of getting 2 cards which are Ace =C14×C13C152×C151 = 1/221.

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Filed Under: Permutations and Combinations
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5 4991
Q:

Simple interest on a certain sum at 7% per annum for 4 years is Rs. 2415. What will be the compound interest on the same principal at 4% per annum in two years?

A) Rs. 704 B) Rs. 854
C) Rs. 893 D) Rs. 914
 
Answer & Explanation Answer: A) Rs. 704

Explanation:

We know that,

S.I. = PTR100 P = S.I x 100T x RAnd also,C.I = P1 + R100n- 1

From given data, P = Rs. 8625

Now, C.I  = 86251+41002-1= 862526252-1= 8625676625-1= 8625 x 51625C.I = Rs. 703.80

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Filed Under: Compound Interest
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11 4988
Q:

A constructor estimates that 4 people can paint Mr. Karthik's house in 6 days. If he uses 5 people instead of 4, how long will they take to complete the job ?

A) 3 days B) 26/3 days
C) 13/4 days D) 24/5 days
 
Answer & Explanation Answer: D) 24/5 days

Explanation:

we know that m1 x d1 = m2 x d2
=> 4 x 6 = 5 x d
where d = no. of days taken by 5 men to paint
d = 24/5 days.

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Filed Under: Time and Work
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5 4980
Q:

There are 3 sections with 5 questions each. If four questions are selected from each section, the chance of getting different questions is ?

A) 1000 B) 625
C) 525 D) 125
 
Answer & Explanation Answer: D) 125

Explanation:

Methods for selecting 4 questions out of 5 in the first section = 5 x 4 x 3 x 2 x 1/4 x 3 x 2 x 1 = 5. Similarly for other 2 sections also i.e 5 and 5


So total methods = 5 x 5 x 5 = 125.

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Filed Under: Permutations and Combinations
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4 4978
Q:

82.5% of 2360?

A) 1960 B) 1954
C) 1947 D) 1931
 
Answer & Explanation Answer: C) 1947

Explanation:

Given 82.5% of 2360

 82.5100 x 2360 = 0.825 x 2360 = 1947

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Filed Under: Percentage
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