Quantitative Aptitude - Arithmetic Ability Questions

Q:

How many litres of pure acid are there in 8 litres of a 20% solution ?

A) 1.4 B) 1.5
C) 1.6 D) 1.7
 
Answer & Explanation Answer: C) 1.6

Explanation:

Quantity of pure acid = 20% of 8 litres = ((20/100)*8) litres = 1.6 litres.

 

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Filed Under: Percentage

38 22883
Q:

Find the remainder in the expression 557 x 653 x 6729?

 

A) 0 B) 3
C) 5 D) 6
 
Answer & Explanation Answer: D) 6

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

1 22875
Q:

A can do a certain work in the same time in which B and C together can do it.If A and B together could do it in 20 days and C alone in 60 days ,then B alone could do it in:

A) 20days B) 40 days
C) 50 days D) 60 days
 
Answer & Explanation Answer: D) 60 days

Explanation:

(A+B)'s 1 day's work=1/20 

C's 1 day work=1/60 

(A+B+C)'s 1 day's work= 1/20 + 1/60 = 1/15

 

Also A's 1 day's work =(B+C)'s 1 day's work 

Therefore,  we get: 2 x (A's 1 day 's work)=1/15 

=>A's 1 day's work=1/30 

 

Therefore, B's 1 day's work= 1/20 - 1/30 = 1/60

So, B alone could do the work in 60 days.

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Filed Under: Time and Work

88 22840
Q:

A sum of money amounts to Rs. 9800 after 5 years and Rs. 12005 after 8 years at the same rate of simple interest. The rate of interest per annum is:

A) 5% B) 8%
C) 12% D) 15%
 
Answer & Explanation Answer: C) 12%

Explanation:

 

S.I. for 3 years = Rs. (12005 - 9800) = Rs. 2205.

 

S.I. for 5 years = Rs.22053×5= Rs.3675

 

Principle = Rs.(9800-3675) = Rs.6125

 

Hence, Rate = 100×36756125×5 =12%

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

19 22820
Q:

Prove that any date in March of a year is the same day of the week corresponding date in November that year.

A) Same day B) Not same day
C) Next day D) Previous day
 
Answer & Explanation Answer: A) Same day

Explanation:

We will show that the number of odd days between last day of February and last day of October is zero. .

March April May June July Aug. Sept. Oct.

31 + 30 + 31 + 30 + 31 + 31 + 30 + 31

= 241 days = 35 weeks = 0 odd day. ,Number of odd days during this period = 0.

Thus, 1st March of an year will be the same day as 1st November of that year. Hence, the result follows

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Filed Under: Calendar

102 22798
Q:

The concentration of petrol in three different mixtures (petrol and kerosene) is 1/2 , 3/5 and 4/5 respectively. If 2 litres, 3 litres and 1 litre are taken from these three different vessels and mixed. what is the ratio of petrol and kerosene in the new mixture?

A) 4:5 B) 3:2
C) 3:5 D) 2:3
 
Answer & Explanation Answer: B) 3:2

Explanation:

Concentration of petrol in    A        B        C

                                                1/2      3/5     4/5

Quantity of petrol taken from A = 1 litre out of 2 litre

Quantity of petrol taken from B = 1.8litre out of 3 litre

Quantity of petrol taken from C = 0.8 litre out of 1 litre

Therefore, total petrol taken out from A, B and C = 1+1.8+0.8 =3.6 litres

So, the quantity of kerosen =(2+3+1) - 3.6 =2.4 litre

Thus, the ratio of petrol to kerosene = 3.6/2.4 = 3/2

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Filed Under: Ratios and Proportions

96 22770
Q:

If the number 517?324 is completely divisible by 3,then the smallest whole number in place of ? will be:

A) 2 B) 1
C) 3 D) 7
 
Answer & Explanation Answer: A) 2

Explanation:

Sum of digits = (5 + 1 + 7 + x + 3 + 2 + 4) = ( 22 + x ), which must be divisible by 3.

When x=2. [(22 + 2) = 24 is divisible by 3]

So, the answer is 2

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Filed Under: Numbers

26 22707
Q:

Find the one which does not belong to that group ?

A) 2T0 B) 1R8
C) 2Y4 D) 1P6
 
Answer & Explanation Answer: C) 2Y4

Explanation:

The digits on either side of the letter in each of the groups 1P6, 2T0, and 1R8 indicate the place value of the letter in the alphabet.

This pattern is not followed by 2Y4.

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Filed Under: Odd Man Out
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE , TOEFL
Job Role: Bank Clerk , Bank PO

31 22693