Quantitative Aptitude - Arithmetic Ability Questions

Q:

Two trains started at the same time, one from A to B and the other from B to A . If they arrived at B and A respectively 4 hours and 9 hours after they passed each other the ratio of the speeds of the two trains was 

A) 2:1 B) 3:2
C) 4:3 D) 5:4
 
Answer & Explanation Answer: B) 3:2

Explanation:

Note : If two trains (or bodies) start at the same time from points A and B towards each other and after crossing they take a and b sec in reaching B and A respectively, then: (A's speed) : (B's speed) = (b : a)

Therefore, Ratio of the speeds of two trains = 9:4 = 3 : 2

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Filed Under: Problems on Trains
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Q:

What is the least number consisting of five digits that is exactly divisible by 12, 18, 20 and 25?

 

A) 10800 B) 11250
C) 10000 D) 10680  
 
Answer & Explanation Answer: A) 10800

Explanation:
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Filed Under: Problems on Numbers
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Q:

From which of the following quadrants does the line 7x + 12y = 16 will pass?

 

A) I and II B) II and III
C) I, II, III D) I, II, IV
 
Answer & Explanation Answer: D) I, II, IV

Explanation:
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Filed Under: Area
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Q:

In the following question, select the odd letter/letters from the given alternatives.

 

A) PNLJ   B) USQO  
C) MKIG   D) QNKH
 
Answer & Explanation Answer: D) QNKH

Explanation:
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Filed Under: Odd Man Out
Exam Prep: Bank Exams

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Q:

If the numerator of a fraction is increased by 150% and the denominator of the fraction is increased by 350%, the resultant fraction is 25/51. What is the original fraction ?

A) 31/25 B) 15/17
C) 14/25 D) 11/16
 
Answer & Explanation Answer: B) 15/17

Explanation:

The original fraction is  2551 × 350+100150+100  = 15/17.

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Filed Under: Percentage
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61 34271
Q:

What is the probability of getting 53 Mondays in a leap year?

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

Explanation:

1 year = 365 days . A leap year has 366 days

A year has 52 weeks. Hence there will be 52 Sundays for sure.

52 weeks = 52 x 7 = 364days

366 – 364 = 2 days

In a leap year there will be 52 Sundays and 2 days will be left.

These 2 days can be:

1. Sunday, Monday

2. Monday, Tuesday

3. Tuesday, Wednesday

4. Wednesday, Thursday

5. Thursday, Friday

6. Friday, Saturday

7. Saturday, Sunday

Of these total 7 outcomes, the favourable outcomes are 2.

Hence the probability of getting 53 days = 2/7

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Filed Under: Probability

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Q:

In a History examination, the average for the entire class was 80 marks. If 10% of the students scored 35 marks and 20% scored 90 marks, what was the average marks of the remaining students of the class ?

A) 25 B) 50
C) 75 D) 100
 
Answer & Explanation Answer: C) 75

Explanation:

Let the number of students in the class be 100 and let this required average be x.

Then, (10 * 95) + (20 * 90) + (70 * x) = (100 * 80)

=> 70x = 8000 - (950 + 1800) = 5250

=> x = 75.

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Q:

Read the following information and answer the questions given below:

A has 28 elements, B has 32 elements and A U B has 40 elements.

How many elements are present only in B?

A) 28 B) 18
C) 12 D) 10
 
Answer & Explanation Answer: C) 12

Explanation:
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