Aptitude and Reasoning Questions

Q:

Out of 3 girls and 6 boys a group of three members is to be formed in such a way that at least one member is a girl. In how many different ways can it be done?

A) 64 B) 84
C) 56 D) 20
 
Answer & Explanation Answer: A) 64

Explanation:

Total number of possible ways = 9C3 = 84 ways

Required atleast one girl in the group of three = total possible ways - ways in which none is girl

None of the members in the group is girl = 6C3 = 20

 

Therefore, number of ways that at least one member is a girl in the group of three

= 84 - 20

= 64 ways.

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Filed Under: Probability
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14 4938
Q:

Choose the pair in which the words are differently related?

A) Man : Garage B) Cow : Shed
C) Pig : Sty D) Horse : Stable
 
Answer & Explanation Answer: A) Man : Garage

Explanation:

In all other pairs, second is the place of stay of the first.

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Filed Under: Classification

27 4931
Q:

Three of the following four are alike in a certain way and hence form a group. Which is the one that does not belong to that group?

A) EBA B) XUT
C) TQP D) JFE
 
Answer & Explanation Answer: D) JFE

Explanation:

In all other groups, the third and second letters are consecutive and first letter is three steps ahead of the second.

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Filed Under: Classification

43 4926
Q:

Two filling taps P and Q together can fill a tank with rate of 40 lit/min and 60 lit/min respectively in 8 min. If a waste tap can empty the filled tank in 32 min, then what is the rate of waste tap ?

A) 34 lit/min B) 25 lit/min
C) 22 lit/min D) 18 lit/min
 
Answer & Explanation Answer: B) 25 lit/min

Explanation:

Given that the waste tap can empty the filled tank in 32 min.

Now, the rate at which the waste tap can empty the tank = (40 + 60)8/32 = 100/4 = 25 lit/min.

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Filed Under: Pipes and Cistern
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13 4924
Q:

82.5% of 2360?

A) 1960 B) 1954
C) 1947 D) 1931
 
Answer & Explanation Answer: C) 1947

Explanation:

Given 82.5% of 2360

 82.5100 x 2360 = 0.825 x 2360 = 1947

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Filed Under: Percentage
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6 4912
Q:

Find the next number in the series 64, 2, 32, 72, 3, 24, 76, 4, 19, ....., 5, 15.6

A) 80 B) 78
C) 72 D) 70
 
Answer & Explanation Answer: B) 78

Explanation:

The pattern is 2x32=64, 3x24=72, 4x19=76

The next number = 5x15.6=78

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Filed Under: Number Series
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10 4911
Q:

In a business, A invested 1200 rs. more than B. B invested his amount for 15 months while A invested for 4 months more than that of B. If total profit was 1240 rs. in which the profit of B is 280 Rs. less than that if A. then what was the invested amount of A?

A) 6000 B) 7000
C) 5000 D) 8000
 
Answer & Explanation Answer: A) 6000

Explanation:

Ans. 
Let B’s investment = x rs.
∴ A’s investment =( x + 1200) rs.
Ratio of the profits of A and B = (x+1200)*(15+4):x*15 = {19(x+1200)}:15x
Now,let the total profit of A =y
∴ total profit of B = (y-280)
But total profit = 1240
⇒y+(y-280)=1240
⇒2y=1520
⇒y= 760
∴profit of A = 760rs.
Profit of B = 760-280=480 rs.
Ratio of profits= 760:480 = 19:12
According to the question,

19(x+1200)/15x = 19/12

12x+14400 = 15x

⇒3x = 14400
⇒x = 4800 rs.
⇒investment of A = 4800+1200
                          = 6000 rs.

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Filed Under: Profit and Loss
Exam Prep: AIEEE , Bank Exams , GATE

3 4910
Q:

If (1 × 2 × 3 × 4 ........ × n) = n!, then 15! - 14! - 13! is equal to ___?

A) 14 × 13 × 13! B) 15 × 14 × 14!
C) 14 × 12 × 12! D) 15 × 13 × 13!
 
Answer & Explanation Answer: D) 15 × 13 × 13!

Explanation:

15! - 14! - 13!

= (15 × 14 × 13!) - (14 × 13!) - (13!)

= 13! (15 × 14 - 14 - 1)

= 13! (15 × 14 - 15)

= 13! x 15 (14 - 1)

= 15 × 13 × 13!

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Filed Under: Permutations and Combinations
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9 4910