Quantitative Aptitude - Arithmetic Ability Questions

Q:

If θ is positive acute angle and 4sin2θ = 3, then the value of tan θ - cot θ/2 is

A) 1 B) 0
C) √3 D) 1/√3
 
Answer & Explanation Answer: B) 0

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Q:

What is the third proportional to 9 and 45?

A) 405 B) 225
C) 5 D) 81
 
Answer & Explanation Answer: B) 225

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Filed Under: Ratios and Proportions
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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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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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Q:

20 pens and 46 pencils were purchased for Rs. 235. If the average price of a pencil is Rs. 2.50 then calculate the average price (in Rs.) of a pen.

A) 6 B) 4
C) 8 D) 12
 
Answer & Explanation Answer: A) 6

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Q:

A runner starts running from a point at 6:00 am with a speed of 8 km/hr. Another racer starts from the same point at 8:30 am in the same direction with speed of 10 km/hr. At what time of the day (in p.m.) will the second racer will overtake the other runner?

A) 8:00 B) 4:00
C) 6:30 D) 5:30
 
Answer & Explanation Answer: C) 6:30

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Filed Under: Time and Distance
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Q:

Robin can do a work alone in 9 days. Amit can do the same work alone in 6 days. Both of them finish the work together and they get a total Rs 2500. What isthe share (in Rs) of Robin?

A) 1700 B) 1200
C) 1500 D) 1000
 
Answer & Explanation Answer: D) 1000

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Filed Under: Time and Work

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Q:

XYZ is right angled at Y. If tanX = 24/7, then what is the value of cotZ ?

A) 25/7 B) 24/25
C) 7/24 D) 24/7
 
Answer & Explanation Answer: D) 24/7

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