Quantitative Aptitude - Arithmetic Ability Questions

Q:

An engineering student has to secure 36% marks to pass. He gets 53 and fails by 37 marks. Find the maximum marks.

A) 275 marks B) 250 marks
C) 300 marks D) 325 marks
 
Answer & Explanation Answer: B) 250 marks

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Q:

Sita told her friend Gita " I am leaving today and will reach Mumbai tomorrow for my exams starting the day after tomorrow, which is Friday". What day is tomorrow in this conversation?

A) Wednesday B) Thursday
C) Tuesday D) Saturday
 
Answer & Explanation Answer: B) Thursday

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Filed Under: Calendar
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Q:

Average of two numbers is 8 and average of other three numbers is 3 ; the average of the five numbers is

A) 2 B) 3
C) 5 D) 6
 
Answer & Explanation Answer: C) 5

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Q:

Find the remainder in the expression 550×651×6627?

A) 5 B) 4
C) 0 D) 3
 
Answer & Explanation Answer: C) 0

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Filed Under: Problems on Numbers
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Q:

A car travels 80 km in 2 hours and a train travels 180 km in 3 hours . The ratio ofspeed of the car to the train is

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

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Filed Under: Ratios and Proportions
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Q:

The bus fare between two cities is increased in the ratio 17:20. Find the increase in the fare, if the original fare is Rs. 425

A) Rs 500 B) Rs 100
C) Rs 200 D) Rs 75
 
Answer & Explanation Answer: D) Rs 75

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Filed Under: Ratios and Proportions
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Q:

In ABC, ∠B=35°, ∠C=65° and the bisector of ∠BAC meets BC in D. Then ADB is

A) 40° B) 75°
C) 90° D) 105°
 
Answer & Explanation Answer: D) 105°

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Q:

If ab+c=bc+a=Cb+athen which one of the following statements is correct?

A) Each fraction is equal to 1 or -1 B) Each fraction is equal to 1/2 or 1
C) Each fraction is equal to 1/2 or -1 D) Each fraction is equal to 1.2 only
 
Answer & Explanation Answer: C) Each fraction is equal to 1/2 or -1

Explanation:

a/(b+c) = b/(c+a) = c/(a+b)

Taking reciprocal and adding 1 to each ratio we get;

(b+c)/a + 1 = b/(c+a) + 1 = c/(a+b) + 1

Or (a+b+c)/a = (a+b+c)/b = (a+b+c)/c

So this can only be equal when a=b=c or a+b+c = 0

When a=b=c we get

a/(b+c)= ½When a+b+c = 0 we get

b+c = -a

So a/(b+c) = -1

So the ratios are ½ or -1

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