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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

In a mixture of 35 litres, the ratio of milk and water is 4:1. If 7 litres of water is added to the mixture, the ratio of milk and water of the new mixture will be

A) 2:1 B) 1:2
C) 4:5 D) 5:4
 
Answer & Explanation Answer: A) 2:1

Explanation:

Ratio of milk andwater = 4:1

Quantity of water = 35/5 = 7 litres

Quantity of milk = 35 X 4/5 = 28 litres

If 7 litre of water is added, new quantity of water = 14 litre

New ratio of milk and water = 28:14 = 2:1

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Filed Under: Alligation or Mixture

3 2088
Q:

S, T and U started a business and their capitals are in the ratio of 3 : 4 : 6. At the end they receive the profit in the ratio of 1 : 2 : 3. What will be the respectiveratio of time period for which they contributed their capitals?

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

Explanation:
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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

2 2088
Q:

Select the time that would depict the correct mirror image of 9:30 on a clock.

A) 2:30 B) 6:30
C) 7:30 D) 4:30
 
Answer & Explanation Answer: A) 2:30

Explanation:
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Filed Under: Clocks
Exam Prep: Bank Exams

4 2085
Q:

A tower is broken at a point P above the ground. The top of the tower makes an angle 60° with the ground at Q. From another point R on the opposite sideof Q angle of elevation of point P is 30°. If QR = 180 m, then what is the total height (in metres) of the tower?

 

A) 90 B) 45√3
C) 45(√3+1) D) 45(√3+2)
 
Answer & Explanation Answer: D) 45(√3+2)

Explanation:
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Filed Under: Height and Distance
Exam Prep: Bank Exams

7 2085
Q:

In a fort there was sufficient food for 200 soldiers for 31 days. After 27 days, 120 soldiers left the fort. For how many extra days will the rest of the food last for the remaining soldiers?

A) 12 days B) 10 days
C) 8 days D) 6 days
 
Answer & Explanation Answer: B) 10 days

Explanation:

Quantity of food = 200 X 31 = 6200 man-days

Till 27 days, quantity consumed = 27 X 200 = 5400 man-days

Remaining quantity = 6200 –5400 = 800 man days

Remaining soilders = 200 –120 = 80

Let remaining food will be sufficient for x days⇒5400 + 80x = 6200⇒x= 10 days

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Filed Under: Time and Work
Exam Prep: Bank Exams

2 2084
Q:

Train A takes 45 minutes more than train B to travel a distance of 450 km. Due to engine trouble speed of train B falls by a quarter, so it takes 30 minutes more than Train A to complete the same journey. What is the speed of Train A (in km/hr)?

A) 90 B) 120
C) 100 D) 110
 
Answer & Explanation Answer: C) 100

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

6 2080
Q:

1/8 as a decimal?

A) 0.125 B) 0.225
C) 0.325 D) 0.425
 
Answer & Explanation Answer: A) 0.125

Explanation:

1/8 to convert into decimal,

Find an equivalent fraction with a denominator of a power of 10.

In this case, we will use 1000.

18 x 125125 = 1251000

This can now be written as a decimal with 3 decimal places (because we have thousandths.

i.e, 0.125

 

Hence, 18 as a decimal = 0.125

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Filed Under: Decimal Fractions
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

9 2080
Q:

Find the area of the trapezium, whose parallel sides are 12 cm and 10 cm, and distance between the parallel sides is 14 cm?

A) 121 sq.com B) 154 sq.com
C) 186 sq.com D) 164 sq.com
 
Answer & Explanation Answer: B) 154 sq.com

Explanation:

We know that, 

Area of trapezium = 1/2 x (Sum of parallel sides) x (Distance between Parallel sides)

= 1/2 x (12 + 10) x 14

= 22 x 14/2

= 22 x 7

= 154 sq. cm

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

23 2078