Aptitude and Reasoning Questions

Q:

From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings?

A) 1/15 B) 1/221
C) 25/57 D) 35/256
 
Answer & Explanation Answer: B) 1/221

Explanation:

 Let S be the sample space

 

Then, n(S) = 52C2= 1326.

 

Let E = event of getting 2 kings out of 4.

 

n(E)  = 52*512*1= 6.

 4C2

=>4*32*1

P(E)=n(E)n(S)=61326=1221

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Filed Under: Probability

44 56771
Q:

Which two months in a year have the same calendar?

A) October, December B) April, November
C) June, October D) April, July
 
Answer & Explanation Answer: D) April, July

Explanation:

If the period between the two months is divisible by 7, then that two months will have the same calender .

 
(a). Oct + Nov  = 31 + 30 = 61 (not divisible by 7)

(b). Apr + May + Jun + Jul + Aug + Sep + Oct = 30 + 31 + 30 + 31 + 31 + 30 + 31  = 214 (not divisible by 7)

(c). Jun + July + Aug + Sep = 30 + 31 + 31 + 30 = 122 (not divisible by 7)

(d). Apr + May + June = 30 + 31 + 30 = 91 (divisible by 7)

 

Hence, April and July months will have the same calendar.

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Filed Under: Calendar
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228 56691
Q:

Solve : 2x + 4 = x - 3

 

A) 7 B) -7
C) -1 D) 1
 
Answer & Explanation Answer: B) -7

Explanation:
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Filed Under: Simplification
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1 56660
Q:

Find the approximate value of ? in (14.998)3 = ?

 

A) 3573 B) 4096
C) 3378 D) 3374
 
Answer & Explanation Answer: D) 3374

Explanation:
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3 56597
Q:

What is the value of (sin30° + 1/3) ?

 

A) (2√2+√3)/2 B) (√6+1)/√3
C) 7/3   D) 5/6
 
Answer & Explanation Answer: D) 5/6

Explanation:
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0 56530
Q:

Find the next number in the given number sequence?

4, 15, 37, 81, ?

A) 196 B) 169
C) 144 D) 121
 
Answer & Explanation Answer: B) 169

Explanation:

The given number series follows a pattern that, 4, 15, 37, 81, ?

4

4 + 11 = 15

15 + 22 = 37

37 + 44 = 81

81 + 88 = 169

 

Hence, the next number in the sequence is 169.

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Q:

Calculate the area (in cm2) of a circle whose diameter is 7 cm.

 

A) 38.5   B)  77    
C) 32.5   D) 65
 
Answer & Explanation Answer: A) 38.5  

Explanation:
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Filed Under: Area
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0 56274
Q:

What is the place value of 6 in 64?

A) 6 B) 60
C) 64 D) 10
 
Answer & Explanation Answer: B) 60

Explanation:

We know that,

● Each digit has a fixed position called its place.

● Each digit has a value depending on its place called the place value of the digit.

● The face value of a digit for any place in the given number is the value of the digit itself

● Place value of a digit = (face value of the digit) × (value of the place).

 

Hence, the place value of 6 in 64 = 6 x 10 = 60.

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