Quantitative Aptitude - Arithmetic Ability Questions

Q:

Find the compound interest on Rs. 2680 at 8% per annum for 2 years ?

A) Rs. 664.21 B) Rs. 548.68
C) Rs. 445.95 D) Rs. 692.57
 
Answer & Explanation Answer: C) Rs. 445.95

Explanation:

We know Compound Interest = C.I. = P1+r100t - 1

Here P = 2680, r = 8 and t = 2

C.I. = 26801 + 81002-1= 268027252-12= 26802725+12725-1= 2680 5225×225

= (2680 x 52 x 2)/625

= 445.95

 

Compound Interest = Rs. 445.95

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12 3729
Q:

A alone can do a work in 20 days. B is 125% more efficient than A. A and B started working and worked for 4 days. If C alone completed the remaining job in 22 days. How many days C alone takes to complete the entire job?

A) 30 B) 35
C) 40 D) 42
 
Answer & Explanation Answer: C) 40

Explanation:
A alone can do = 20days 
 
Efficiency ratio of A & B= 4 : 5

Time required will be in ratio = 5:4

B alone will do it in =16 days

LCM of (16,20)= 80 ,
 
Assume work size of 80 units

 

1 day work of A= 4 units 1 day work of B= 5 units

 

Work done by both in 4 days= 4*(5+4)= 36 units

 

Work left= 80-36= 44 units

 

Now C takes 22 days to complete= 44 units.

 

Time taken by C alone to complete the work= 40 days
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0 3727
Q:

A shopkeeper has a job to print certain number of documents and there are three machines P, Q and R for this job. P can complete the job in 3 days, Q can complete the job in 4 days and R can complete the job in 6 days. How many days the shopkeeper will it take to complete the job if all the machines are used simultaneously ?

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

Explanation:

Let the total number of documents to be printed be 12.

 The number of documents printed by P in 1 day = 4.

 The number of documents printed by Q in 1 day = 3.

 The number of documents printed by R in 1 day = 2.

 
Thus, the total number of documents that can be printed by all the machines working simultaneously in a single day = 9.

 

Therefore, the number of days taken to complete the whole work = 12/9 = 4/3 days.

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4 3719
Q:

One girl can eat 112 chocolates in half a minute, and her boy friend can eat half as many in twice the length of time. How many chocolates can both boy and girl eat in 12 seconds ?

A) 44 B) 32
C) 56 D) 49
 
Answer & Explanation Answer: C) 56

Explanation:

Girl eats 112 chocolates in 30 sec

so she can eat in 12 sec is 12 x 112/30 = 44.8 chocolates.

 

Her boy friend can eat one-half of 112 in twice of 30 sec

so he can eat 56 in 60 sec


Then he can eat in 12 sec is 56 x 12/60 = 11.2 chocolates.

 

Hence, together they can eat = 44.8 + 11.2 =56 chocolates in 12 seconds.

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7 3709
Q:

29 is 0.8% of?

A) 3625 B) 1450
C) 7250 D) 10875
 
Answer & Explanation Answer: A) 3625

Explanation:
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Q:

The difference between simple interest and compound interest of a certain sum of money at 20% per annum for 2 years is Rs. 56. Then the sum is :

A) Rs. 3680 B) Rs. 2650
C) Rs. 1400 D) Rs. 1170
 
Answer & Explanation Answer: C) Rs. 1400

Explanation:

We know thatThe Difference between Compound Interest and Simple Interest for n years at R rate of interest is given by C.In - S.In = PR100n

Here n = 2 years, R = 20%, C.I - S.I = 56

56 = P201002=> P = 56 x 52=> P = 56 x 25=> P = Rs. 1400

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28 3706
Q:

A town having teenagers(boys & girls) of 5000 requires 150 litre of water per head. It has a tank measuring 20 m × 15 m × 5 m. The water of this tank will sufficient for ____ days.

A) 8 B) 6
C) 4 D) 2
 
Answer & Explanation Answer: D) 2

Explanation:

Total Water reqduired = 5000 × 150 lit = 750,000 litres = 750 cu.m.

 

Volume of tank = 20 × 15 × 5 = 1500 Cu.m.

 

Number of days required =1500/750 = 2 days.

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Q:

A number is 2 more than thrice the second number and 4 times the smaller number is 5 more than the greater number. What is greater number  ?

A) 7 B) 23
C) 9 D) 21
 
Answer & Explanation Answer: B) 23

Explanation:

Let the greater and smaller number be p and q respectively.

4q = p + 5 ------ (I)

p = 3q+2 ------- (II)

From equation (I) and (II)

q = 7

p = 23

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11 3706