Quantitative Aptitude - Arithmetic Ability Questions

Q:

What is the Number of candidates who had applied if the ratio of selected to unselected was 14 : 25. If 35 less had applied and 10 less selected, the ratio of selected to unselected would have been 3 : 5?

A) 195 B) 205
C) 185 D) 175
 
Answer & Explanation Answer: A) 195

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

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Q:

What is the value of [cos (90 + A)÷sec (270 – A)] + [sin (270 + A)÷cosec (630 – A)]?

A) 3 sec A B) tan A sec A
C) 0 D) 1
 
Answer & Explanation Answer: D) 1

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

If (1/x) + (1/y) + (1/z) = 0 and x + y + z = 9, then what is the value of x3 + y3 + z3  3xyz?

A) 81 B) 361
C) 729 D) 6561
 
Answer & Explanation Answer: C) 729

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Q:

The ratio of three numbers is 2 : 3 : 5. If the sum of the three numbers is 275, then what is the largest among the three numbers?

A) 142 B) 137.5
C) 82.5 D) 110.5
 
Answer & Explanation Answer: B) 137.5

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

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Q:

From a point, 40 m apart from the foot of a tower, the angle of elevation of its top is 60°. The height of the tower is

A) 40√3 km B) 40√3 cm
C) 40√3 m D) 40√2 m
 
Answer & Explanation Answer: C) 40√3 m

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Q:

A man walks at a speed of 3 kmph. He doubles his speed after reaching exactly half way. He walks for 5 hours in all. What is the total distance travelled by him?

A) 19 km B) 15 km
C) 12 km D) 20 km
 
Answer & Explanation Answer: D) 20 km

Explanation:

Let total distance be 2D.

 

He walks half distance i.e, (2D/2) = 'D' distance with 3 kmph and

The next 'D' with 6 kmph.

 

 

Using formula,

Time = Distance/speed

 

(D/3) + (D/6) = 5

 

D =10 ,

Hence, Total distance 2D  =  20 kms.

 

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Filed Under: Time and Distance
Exam Prep: Bank Exams

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Q:

P and Q can do a project in 60 and 30 days respectively. In how many days can they complete 90% of the project if they work together?

A) 9 days B) 27 days
C) 36 days D) 18 days
 
Answer & Explanation Answer: D) 18 days

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Filed Under: Time and Work
Exam Prep: Bank Exams

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Q:

If 6/7th of 8/5th of a number is 192, then 3/4th of that number is _____.

A) 105 B) 77
C) 36 D) 80
 
Answer & Explanation Answer: A) 105

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Filed Under: Percentage
Exam Prep: Bank Exams , CAT

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