Aptitude and Reasoning Questions

Q:

Consider the following for real numbers α, β, γ and δ ?

1) sec α = 1/4

2) tan β = 20

3) cosec γ = 1/2

4) cos δ = 2

How many of the above statements are not possible?

 

A) one  B) two
C) three D) four
 
Answer & Explanation Answer: C) three

Explanation:
Sec of any number can never be less than 1
tan can take any value from -∞ to + ∞
cosec of any number can never be less than 1
cos of any number can never be greater than 1
so option 1,3,4 are not possible
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Filed Under: Simplification
Exam Prep: Bank Exams

1 67378
Q:

The average weight of a class of 24 students is 35 kg. If the weight of the teacher be included, the average rises by 400 g. The weight of the teacher is : 

A) 45 kg B) 46 kg
C) 47 kg D) 48 kg
 
Answer & Explanation Answer: A) 45 kg

Explanation:

Weight of the teacher = (35.4 x 25 - 35 x 24) kg = 45 kg.

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Filed Under: Average

233 67307
Q:

Find the wrong number in the given number series?

180, 90, 60, 40, 36

A) 36 B) 40
C) 60 D) 90
 
Answer & Explanation Answer: B) 40

Explanation:

The given number series is 180, 90, 60, 40, 36

It follows a pattern that,

180 x 1/2 = 90

90 x 2/3  = 60

60 x 3/4  = 45 (NOT 40)

45 x 4/5  = 36

 

Hence, the wrong number in the given series is 40.

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Filed Under: Odd Man Out
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

2 67172
Q:

A salesman gets commission on total sales at 9%. If the sale is exceeded Rs.10,000 he gets an additional commission as bonus of 3% on the excess of sales over Rs.10,000. If he gets total commission of Rs.1380, then the bonus he received is:

A) Rs.180 B) Rs.120
C) Rs.480 D) data insufficient
 
Answer & Explanation Answer: B) Rs.120

Explanation:

Commission up to 10000 = 10000x9100 = 900 

 

Again after 10000, 

 

              Commission    :   Bonus 

                           9       :   3 

                         3x        :   x

 

 Therefore,   Bonus = 1380-900×14 = Rs. 120

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Filed Under: Percentage
Exam Prep: CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

247 67006
Q:

Find the angle between the hour hand and the minute hand of a clock when the time is 3.25

A) 47.5 degrees B) 57.5 degrees
C) 45.5 degrees D) 55.5 degrees
 
Answer & Explanation Answer: A) 47.5 degrees

Explanation:

At 3 O'clock, Minute hand is at 12 while the Hour hand is at 3. Again the minute hand has to sweep through ( 30 x 5 ) ie 150° for reaching the figure 5 to show 25 mins. 

Simultaneously the Hour hand will also rotate for 25 mins. Thus starting from the mark, 3 the hour hand will cover an angle = (25 x 30) / 60 = 12.5° 

Hence, Angle between Hour and the Minute hand = ( 60 - 12.5 ) = 47.5°

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Filed Under: Clocks
Exam Prep: Bank Exams
Job Role: Bank PO

175 66818
Q:

Find the next number in the given number sequence?

101, 98, 93, 86, 75, ?

A) 62 B) 68
C) 71 D) 73
 
Answer & Explanation Answer: A) 62

Explanation:

The given number sequence is 101, 98, 93, 86, 75, ?

101

101 - 3 = 98

98 - 5 = 93

93 - 7 = 86

86 - 11 = 75

75 - 13 = 62

 

Here the series follows a pattern that consecutive subtraction of prime numbers.

 

Hence, the next number in the sequence is 62.

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Filed Under: Number Series
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

9 66703
Q:

Find the next number in the following number series?

410, 409, 413, 404, ? 

A) 412 B) 415
C) 418 D) 420
 
Answer & Explanation Answer: D) 420

Explanation:

The given number series 410, 409, 413, 404, ? , follows a pattern that 

410

410 - 13 = 409409 + 22 = 413413 - 33 = 404404 + 42 = 420

 

Hence, the next number in the given series is 420.

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4 66699
Q:

Arrange the words given below in a meaningful sequence.

1. Poverty   2. Population   3. Death    4. Unemployment    5. Disease 

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

Explanation:

The correct order is :

Population    Unemployment    Poverty     Disease   Death

          2                   4                             1                    5           3 

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