Quantitative Aptitude - Arithmetic Ability Questions

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
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Q:

Rizwan has a box in which he kept red and blue marbles. The red marbles and blue marbles were in the ratio 5 : 4. After he lost 5 red marbles the ratio became 10 : 9. How many marbles does he have now?

A) 81 B) 86
C) 76 D) 91
 
Answer & Explanation Answer: C) 76

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

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Q:

A man makes four trips of equal distances. His speed on first trip was 60 km/hr and in each subsequent trip his speed was half of the previous trip. What is the average speed (in km/hr) of the man in these four trips?

A) 16 B) 30
C) 28.125 D) 27.5
 
Answer & Explanation Answer: A) 16

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

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Q:

Bobby's birthday is on Monday 5th June. On what day of the week will be Pinky's Birthday in the same year if Pinky was born on 22nd September?

A) Saturday B) Wednesday
C) Friday D) Sunday
 
Answer & Explanation Answer: C) Friday

Explanation:
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Filed Under: Calendar
Exam Prep: Bank Exams

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Q:

In a class of 80 students and 5 teachers, each student got shopping coupons that are 15% of the total number of students and each teacher got shopping coupons, that are 25% of the total number of students. How many shopping coupons were there?

A) 960 B) 1000
C) 1060 D) 100
 
Answer & Explanation Answer: C) 1060

Explanation:

Given total number of students = 80

Total teachers = 5

Number of coupons each student got = 15 x 80/100 = 12

Number of coupons each teacher got = 25 x 80/100 = 20

 

Therefore, total number of shopping coupons = 80 x 12 + 5 x 20 = 960 + 100 = 1060.

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

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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
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Q:

A man's annual income has increased by Rs 1.2 lakhs but the tax on income that he has to pay has reduced from 12% to 10%. He now pays the same amount of tax as before. What is his increased income (in Rs lakhs)?

A) 8.4 B) 7.2
C) 9.6 D)  6
 
Answer & Explanation Answer: B) 7.2

Explanation:
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Filed Under: Percentage
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Q:

x, y and z are three numbers such that x is 30% of z and y is 40% of z. If x is p% of y, then what is the value of p?

A) 45 B) 55
C) 65 D) 75
 
Answer & Explanation Answer: D) 75

Explanation:

x = 30% of z = 30z/100 = 3z/10

y = 40% of z = 40z/100 = 4z/10

According to the question,(x/y)*100 = p%

p% = 3z/100/4z/100×100= 75%

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Filed Under: Percentage
Exam Prep: Bank Exams

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