Quantitative Aptitude - Arithmetic Ability Questions

Q:

Fill in the blanks

sinA = _____ x cosA

 

A) sinA B) tanA
C) cotA D) cosA
 
Answer & Explanation Answer: B) tanA

Explanation:
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Q:

What is the value of (√2/3 - cosec60)?

 

A) (√6-6)/3√3 B) (2-2√3)/√3  
C) (1-√6)/√2   D) (4-√3)/2√3
 
Answer & Explanation Answer: A) (√6-6)/3√3

Explanation:
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Q:

Find the odd man out?

28, 12, 4, 2, -2

A) -2 B) 2
C) 12 D) 28
 
Answer & Explanation Answer: B) 2

Explanation:

Here the given series 28, 12, 4, 2, -2 follows a pattern that

 

28 28 - 24 = 28 - 16 = 1212 - 23 = 12 - 8 = 44 - 22 = 4 - 4 = 0 (NOT 2)0 - 21 = 0 - 2 = -2

 

Hence, the odd man in the given series is 2.

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Q:

A watch which gains uniformly ,is 5 min,slow at 8 o'clock in the morning on sunday and it is 5 min 48 sec.fast at 8 p.m on following sunday. when was it correct?

A) 7pm on wednesday B) 20 min past 7pm on wednesday
C) 15min past 7pm on wednesday D) 8pm on wednesday
 
Answer & Explanation Answer: B) 20 min past 7pm on wednesday

Explanation:

This sunday morning at 8:00 AM, the watch is 5 min. Slow, and the next sunday at 8:00PM it becomes 5 min 48 sec fast.  The watch gains 5+54860 min in a time of  (7×24)+12 = 180 hours. 

 

To show the correct time, it has to gain 5 min.

 

545min180hours

5min ->

5542×180

 

8313hrs=72hrs+1113hrs=3days+11hrs+20min

 

So the correct time will be shown on wednesday at 7:20 PM

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Q:

Of the following, which is greater than ½ ?

Indicate ALL such fractions.

A) 2/5 B) 4/7
C) 4/9 D) 5/11
 
Answer & Explanation Answer: B) 4/7

Explanation:

One way to deal with fractions is to convert them all to decimals. 

In this case all you would need to do is to see which is greater than 0.5.

Otherwise to see which is greater than ½, double the numerator and see if the result is greater than the denominator. In B doubling the numerator gives us 8, which is bigger than 7. 

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Q:

In each of these questions, two equations (I) and (II) are given.

I. 2x2+19x+42 = 0II. 4y2+43y+30 = 0

A)  x > y B) x < y
C)  x ≥ y D) x ≤ y
 
Answer & Explanation Answer:

Explanation:

I. 2x2 + 19x + 42 = 0

2x2 + 12x + 7x + 42 = 0

2x (x+6) + 7(x +6) = 0

(2x+7) (x+6) = 0 x = -7/2, -6 I

I. 4y2 + 43y + 30 = 0

4y2 +40y + 3y + 30 = 0

4y(y + 10) + 3(y + 10) (4y + 3)(y + 10) = 0

y = -3/4, -10

So answer is no relation.

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Q:

9 17 11 19 13

What Are The Next Three Numbers In The Given Number Series?

A) 17, 10, 18 B) 19, 14, 23
C) 21, 15, 23 D) 19, 13, 22
 
Answer & Explanation Answer: C) 21, 15, 23

Explanation:

Given number series is 9 17 11 19 13 

Here the pattern is

      • 9
      • 9 + 8 = 17
      • 17 - 6 = 11
      • 11 + 8 = 19
      • 19 - 6 = 13
      • 13 + 8 = 21
      • 21 - 6 = 15
      • 15 + 8 = 23
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Q:

Find the odd one in the given series ?

5-20-25, 10-40-50, 4-15-24, 25-100-125

A) 4-15-24 B) 5-20-25
C) 10-40-50 D) 25-100-125
 
Answer & Explanation Answer: A) 4-15-24

Explanation:

In each term second two numbers are multiples of the first number. But in 4-15-24 15 is not multiple of 4.

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