Aptitude and Reasoning Questions

Q:

If the standard deviation of a population is 10, what would be the population variance?

A) 100 B) 30
C) 5 D) 20
 
Answer & Explanation Answer: A) 100

Explanation:
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Filed Under: Probability
Exam Prep: Bank Exams

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Q:

At the beginning of March, Ryan had $621 in his savings bank account. On 10 March he deposited $60. If the bank pays 8% p.a. interest paid monthly and calculated on the minimum monthly balance, calculate the interest Ryan earns in March.

A) 2.14 B) 3.14
C) 5.14 D) 4.14
 
Answer & Explanation Answer: D) 4.14

Explanation:

I = (P x T x R) /100

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Filed Under: Simple Interest
Exam Prep: Bank Exams
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Q:

Which one of the following is not a prime number?

A) 91 B) 71
C) 41 D) 31
 
Answer & Explanation Answer: A) 91

Explanation:

Prime Numbers :: Numbers which are divisible by only 1 and itself are Prime Numbers.

 

It's answer will be 91.

Because 91 can be divisible by 7,13,91,1.

It is quite clear that prime number should be divisible only by itself and by 1.

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Filed Under: Problems on Numbers
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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Q:

One-third of the boys and one-half of the girls of a college participated in a sport. If the number of participating students is 300, out of which 100 are boys. What is the total number of students in the college ?

A) 550 B) 575
C) 625 D) 700
 
Answer & Explanation Answer: D) 700

Explanation:

Let number of boys = B

Number of girls = G

From the given data,

1B/3 + 1G/2 = 300

But given B/3 = 100

=> B = 300

G/2 = 300 - 100

G = 200 x 2

=> G = 400

Therefore, total number of students in the college = B + G = 700.

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Filed Under: Percentage
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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10 5135
Q:

If 10 men take 15 days to complete a work. In how many days will 37 men complete the work?

A) 3 days B) 4 days
C) 5 days D) 6 days
 
Answer & Explanation Answer: B) 4 days

Explanation:

Given 10 men take 15 days to complete a work

=> Total mandays = 15 x 10 = 150

Let the work be 150 mandays.

=> Now 37 men can do 150 mandays in 150/37 =~ 4 days

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Filed Under: Time and Work
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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Q:

In a certain code language, "STYLE" is written as "ELTYS". How is "FRUIT" written in that code language?

A) TIUFR B) TIURF
C) TIRUF D) GSVJU
 
Answer & Explanation Answer: C) TIRUF

Explanation:
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Filed Under: Coding and Decoding
Exam Prep: Bank Exams

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Q:

A box contains 5 green, 4 yellow and 5 white pearls. Four pearls are drawn at random. What is the probability that they are not of the same colour ?

A)  11/91

B)  4/11

C)  1/11

D) 90/91

A) Option A B) Option B
C) Option C D) Option D
 
Answer & Explanation Answer: D) Option D

Explanation:

Let S be the sample space. Then,
n(s) = number of ways of drawing 4 pearls out of 14


= C414 ways = 14×13×12×114×3×2×1= 1001


Let E be the event of drawing 4 pearls of the same colour.
Then, E = event of drawing (4 pearls out of 5) or (4 pearls out of 4) or (4 pearls out of 5)

  C15+ C44+ C15 = 5+1+5 =11

 P(E) = n(E)n(S)=111001=191  

 

 Required probability = 1-191=9091

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Filed Under: Permutations and Combinations
Exam Prep: CAT , Bank Exams
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Q:

A college has 10 basketball players. A 5-member team and a captain will be selected out of these 10 players. How many different selections can be made?

A) 1260 B) 210
C) 210 x 6! D) 1512
 
Answer & Explanation Answer: A) 1260

Explanation:

A team of 6 members has to be selected from the 10 players. This can be done in 10C6 or 210 ways.

Now, the captain can be selected from these 6 players in 6 ways.
Therefore, total ways the selection can be made is 210×6= 1260

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