Quantitative Aptitude - Arithmetic Ability Questions

Q:

A starts business with Rs. 3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. What is B's contribution in the capital?

A) Rs. 7500 B) Rs. 8000
C) Rs. 8500 D) Rs. 9000
 
Answer & Explanation Answer: D) Rs. 9000

Explanation:

Let B's capital be Rs. x

 

Then,3500×127x=23

=> 14x = 126000 

=> x = 9000.

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Filed Under: Partnership

23 25920
Q:

What is the probability that a leap year has 53 Saturdays and 52 Sundays ?

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

Explanation:

A leap year has 52 weeks and two days
Total number of cases = 7
Number of favourable cases = 1
i.e., {Friday, Saturday}

Required Probability = 1/7

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

28 25851
Q:

An observer 1.6 m tall is 203away from a tower. The angle of elevation from his eye to the top of the tower is 30º. The heights of the tower is:

A) 21.6 m B) 23.2 m
C) 24.72 m D) None of these
 
Answer & Explanation Answer: A) 21.6 m

Explanation:

 

 

 

 Draw BE // CD

 

Then, CE = AB = 1.6 m,

 

BE = AC =

 DEtan30=> DE = tan30 x 203=> DE = 13x203 = 20

 

Therefore, CD = CE + DE = (1.6 + 20) m = 21.6 m.

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Filed Under: Height and Distance
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

24 25829
Q:

The second day of a month is Sunday, What will be the last day of the next month which has 31 days  ?

A) Friday B) Saturday
C) Sunday D) Can't be determined
 
Answer & Explanation Answer: D) Can't be determined

Explanation:

We cannot find out the answer because the number of days of the current month is not given.

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Filed Under: Calendar
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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55 25804
Q:

A does half as much work as Band C does half as much work as A and B together. If C alone can finish the work in 40 days, then together ,all will finish the work in  ?

A) 17 + 4/7 days B) 13 + 1/3 days
C) 15 + 3/2 days D) 16 days
 
Answer & Explanation Answer: B) 13 + 1/3 days

Explanation:

C alone can finish the work in 40 days.
As given C does half as much work as A and B together
=> (A + B) can do it in 20 days
(A + B)s 1 days wok = 1/20.
A's 1 days work : B's 1 days Work = 1/2 : 1 = 1:2(given)
A's 1 day’s work = (1/20) x (1/3) = (1/60) [Divide 1/20 in the raio 1:2]
B's 1 days work = (1/20) x (2/3) = 1/30
(A+B+C)'s 1 day's work = (1/60) + (1/30) + (1/40) = 9/120 = 3/40

All the three together will finish it in 40/3 = 13 and 1/3 days.

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Filed Under: Time and Work
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
Job Role: Bank Clerk , Bank PO

47 25784
Q:

The volume of a wall, 5 times as high as it is broad and 8 times as long as it is high, is 12.8 cu. meters. Find the breadth of the wall.

A) 40cm B) 30cm
C) 20cm D) 10cm
 
Answer & Explanation Answer: A) 40cm

Explanation:

Let the breadth of the wall be x metres. 

Then, Height = 5x metres and Length = 40x metres.  

x * 5x * 40x = 12.8   

=>x3 =12.8/200 = 128/2000 =64/1000  

=> x = 4/10 m  

=> x = (4/10)*100 = 40 cm

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52 25772
Q:

If the manufacturer gains 10 %, the wholesale dealer 15 % and the retailer 25 %, then find the cost of production of a table if the retail price was Rs 1265

A) Rs. 750 B) Rs. 800
C) Rs. 850 D) Rs. 900
 
Answer & Explanation Answer: B) Rs. 800

Explanation:

Let the cost of Production = Rs. P

Then, as per question,

 

125100×115100×110100×P=1265

 

=> P=800

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Filed Under: Profit and Loss

71 25738
Q:

Which of the following statement is correct about a triangle?

 

A) If the triangles are congruent then their area will be equal B) If the areas of two similar triangles are equal then the triangle is congruent
C) Two congruent triangles are always similar to each other D) All options are correct
 
Answer & Explanation Answer: D) All options are correct

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

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