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Q:

Out of 6 green ball, 4 blue ball, in how many ways we selectone or more balls ?

A) 42 B) 34
C) 31 D) 22
 
Answer & Explanation Answer: B) 34

Explanation:

7 × 5 = 35

35 – 1 = 34

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Filed Under: Permutations and Combinations

Q:

A box contains 5 green, 4 yellow and 3 white marbles. Threemarbles are drawn at random. What is the probability thatthey are not of the same colour ?

A) 40/44 B) 44/41
C) 41/44 D) 40/39
 
Answer & Explanation Answer: C) 41/44

Explanation:

n(E) = 5C3 + 4C3 + 3C3 = 10 + 4 + 1 = 15n(S) = 12C3 = 220

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Filed Under: Permutations and Combinations
Exam Prep: Bank Exams

Q:

A five digit number is formed with the digits 0,1,2,3 and 4 without repetition. Find the chance that the number is divisible by 5.

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

Explanation:
5 digit number = 5! = 120
Divisible by 5 then the last digit should be 0
Then the remaining position have the possibility = 4!
= 24
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Filed Under: Probability

Q:

Pipes A and B can fill a cistern in 15 hours together. But ifthese pipes operate separately A takes 40 hours less than Bto fill the tank. In how many hours the pipe A will fill thecistern working alone?

A) 60 B) 20
C) 40 D) 15
 
Answer & Explanation Answer: B) 20

Explanation:

Let A takes x hours, then B = (x+40) hours

1/x + 1/x+40 = 1/15

x = 20

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Filed Under: Pipes and Cistern

Q:

Two persons A and B invested in a business with 115000and 75000 rupees respectively. They agree that 40% of theprofit should be divided equally among them and rest isdivided between them according to their investment. If Agot 500 rupee more than B, then the total profit is

A) 3599.34 B) 699.34
C) 3958.34 D) 999.34
 
Answer & Explanation Answer: C) 3958.34

Explanation:

Ratio in which the profit will divide – 23:15. Let theprofit be P

Now, [(23/38) - (15/38)] x (60/100) x P = 500

P = 3958.34

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Filed Under: Partnership

Q:

8 litres are drawn from a flask containing milk and then filledwith water. The operation is performed 3 more times. Theratio of the quantity of milk left and total solution is 81/625.How much milk the flask initially holds?

A) 10 ltr B) 20 ltr
C) 30 ltr D) 40 ltr
 
Answer & Explanation Answer: B) 20 ltr

Explanation:

Let initial quantity be Q, and final quantity be F

F = Q(1 - 8/Q)4

=> Q = 20

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Filed Under: Alligation or Mixture

Q:

A slice from a circular pizza of diameter 14 inches is cut in asuch a way that each slice of pizza has a central angle of 45°. What is the area of each slice of Pizza(in square inches)?

A) 16.25 B) 19.25
C) 18.25 D) 17.25
 
Answer & Explanation Answer: B) 19.25

Explanation:

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Filed Under: Area

Q:

A company reduces his employee in the ratio 14 : 12 andincreases their wages in the ratio 16:18. Determine whetherthe bill of wages increases or not and in what ratio

A) Decreases, 28: 27 B) Increases, 27:28
C) Decreases, 29:28 D) Increases, 28:29
 
Answer & Explanation Answer: A) Decreases, 28: 27

Explanation:

Let the initial employee be 14a and final employee be 12a

similarly initial wage is 16b and final wage be 18b

Total initial wage = 14a × 16b = 224ab,

total final wage= 12a × 18b = 216ab

So clearly wages decreases and ratio = 224ab: 216ab= 28 : 27

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Filed Under: Ratios and Proportions