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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is:

A) 720 B) 900
C) 1200 D) 1800
 
Answer & Explanation Answer: C) 1200

Explanation:

ke

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Filed Under: Volume and Surface Area

87 40959
Q:

A car owner buys petrol at Rs 7.50, Rs. 8 and Rs. 8.50 per litre for three successive years. What approximately is the average cost per litre of petrol if he spends Rs. 4000 each year ?

A) 6.23 B) 7.98
C) 8.97 D) 9.89
 
Answer & Explanation Answer: B) 7.98

Explanation:

Total quantity of petrol consumed in 3 years =(4000/7.50+4000/8+4000/8.50)  liters

 

                                                         = 4000(2/15+1/8+2/17) liters                                                   

 

                                                         = 76700/51 liters

 

Total amount spent = Rs. (3 x 4000) = Rs. 12000.

 

Average cost = Rs. (12000*51/76700) = Rs. 7.98.

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Filed Under: Average

57 40776
Q:

Determine the nominal rate of interest if:

The periodic rate is 0.83% per month

A) 7% B) 8%
C) 9% D) 10%
 
Answer & Explanation Answer: D) 10%

Explanation:

j=mi

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

3 40624
Q:

3 men, 4 women and 6 children can complete a work in 7 days. A woman does double the work a man does and a child does half the work a man does. How many women alone can complete this work in 7 days  ?

A) 6 B) 9
C) 5 D) 7
 
Answer & Explanation Answer: D) 7

Explanation:

Let 1 woman's 1 day work = x.

Then, 1 man's 1 day work = x/2 and 1 child's 1 day work  x/4.

So, (3x/2 + 4x + + 6x/4) = 1/7

28x/4 = 1/7 => x = 1/49

1 woman alone can complete the work in 49 days.

So, to complete the work in 7 days, number of women required = 49/7 = 7.

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

94 40619
Q:

What is the difference between the compound interests on Rs. 5000 for 1 1/2  years at 4% per annum compounded yearly and half-yearly?

A) 2.04 B) 3.04
C) 4.04 D) 5.04
 
Answer & Explanation Answer: A) 2.04

Explanation:

C.I. when interest
compounded yearly=rs.[5000*(1+4/100)(1+1/2*4/100)]

= Rs. 5304.

C.I. when interest is
compounded half-yearly=rs.5000(1+2/100)^3

= Rs. 5306.04
Difference = Rs. (5306.04 - 5304) = Rs. 2.04

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

34 40616
Q:

A cistern 6m long and 4 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is:

A) 49 B) 50
C) 53.5 D) 55
 
Answer & Explanation Answer: A) 49

Explanation:

Area of the wet surface = [2(lb + bh + lh) - lb] 

= 2(bh + lh) + lb 

= [2 (4 x 1.25 + 6 x 1.25) + 6 x 4]m2  

= 49m2

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Filed Under: Volume and Surface Area

86 40581
Q:

In a 500 m race, the ratio of the speeds of two contestants A and B is 3 : 4. A has a start of 140 m. Then, A wins by:

A) 60m B) 40m
C) 20m D) 10m
 
Answer & Explanation Answer: C) 20m

Explanation:

To reach the winning post A will have to cover a distance of (500 - 140)m, i.e., 360 m.

 

While A covers 3 m, B covers 4 m.

 

While A covers 360 m, B covers (4/3)*360 = 480 m.

 

Thus, when A reaches the winning post, B covers 480 m and therefore remains 20 m behind.

 

 A wins by 20 m.

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Filed Under: Races and Games

39 40505
Q:

January 1, 2007 was Monday. What day of the week lies on Jan. 1, 2008?

A) Monday B) Tuesday
C) Wednesday D) Sunday
 
Answer & Explanation Answer: B) Tuesday

Explanation:

The year 2007 is an ordinary year. So, it has 1 odd day.

 

1st day of the year 2007 was Monday

 

1st day of the year 2008 will be 1 day beyond Monday

 

Hence, It will be Tuesday.

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Filed Under: Calendar

148 40445