Searching for "Contain"

Q:

A container contains 165 litres of milk. Some quantity of milk is taken out and half of that quantity of milk, water is added in the container. Now ratio of milk to water in the container becomes 5:3. What is the quantity of water added in it?

A) 40 litre B) 45 litre
C) 60 litre D) 30 litre
 
Answer & Explanation Answer: B) 45 litre

Explanation:

Let amount of milk removed = 2x litre
So, amount of water added = x litre
Now → (165 − 2x)/x = 5/3
x = 45 lit

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Q:

Two boxes contain 4 and 16 balls respectively. Two balls in the first box and four in the second, are black. If a box is chosen randomly and two balls are drawn at random from it, what is the
probability that at least one ball is black if the ball is not replaced?

A) 11/20 B) 43/120
C) 77/120 D) 9/20
 
Answer & Explanation Answer: C) 77/120

Explanation:

At least one black can be chosen in two ways from each box:
Now, probability of choosing at least one black ball from first box 

= 1/2 × [ (2C1× 2C1)/4C2 + 2C2/ 4C2 ]= 5/12

Probability of choosing at least one black ball from 2nd box
= 1/2 × [(4C1×12C1)/16C2 + 4C2/ 16C2] = 9/40

Final probability

= 5/12 + 9/40 = (50 + 27)/120 = 77/120

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Q:

Consider the given statement and decide which of the given assumptions is/are implicit in the statement.

Statement:

Honesty is the best policy.

Assumptions:

1. Honesty people are policy makers.

2. Each policy must contain honesty.

A) Both assumptions 1 and 2 are implicit B) Neither assumption 1 nor 2 is implicit
C) Only assumption 2 is implicit D) Only assumption 1 is implicit
 
Answer & Explanation Answer: B) Neither assumption 1 nor 2 is implicit

Explanation:
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Filed Under: Statement and Assumptions
Exam Prep: AIEEE , Bank Exams , CAT

Q:

A hard coal containing little volatile matter is called ______.

A) Loess B) Anthracite
C) Atoll D) Lava
 
Answer & Explanation Answer: B) Anthracite

Explanation:
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Filed Under: General Science
Exam Prep: CAT , Bank Exams , AIEEE

Q:

In a bag which contains 40 balls, there are 18 red balls and some green and blue balls. If two balls are picked up from the bag without replacement, then the probability of the first ball being red and second being green is 3/26. Find the number of blue balls in the bag.

A) 16 B) 12
C) 10 D) 14
 
Answer & Explanation Answer: B) 12

Explanation:

Total balls = 40

Red balls = 18

Let green balls are x

Then, (18/40) × (

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Filed Under: Probability
Exam Prep: AIEEE , Bank Exams , CAT

Q:

From container A containing 54 liter of mixture of milk and water in ratio of 8 : 1 , 18 liter of the mixture is taken out and poured into container B in which ratio of milk to water is 3 : 1. If difference between total milk and total water in container B is 30 liter then find the quantity of initial mixture in container B. 

A) 30 Liter  B) 28 Liter 
C) 32 Liter  D) 36 Liter 
 
Answer & Explanation Answer: C) 32 Liter 

Explanation:

Let initially milk and water in container B is 3x liter and x liter respectively

Now, 3x + (8/9) × 18 – x – (1/9) × 18 = 30

3x + 16 – x – 2 = 30

x = 8

Initial quantity is container B = 8 (3 + 1) = 32 Liter.

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Filed Under: Alligation or Mixture
Exam Prep: AIEEE , Bank Exams , CAT

Q:

A solution contains 33 g of common salt in 320 g of water. Calculate the concentration in terms of mass, by mass percentage of the solution.

A) 13.05% B) 9.09 g
C) 9.35g D)  9.35%
 
Answer & Explanation Answer: D)  9.35%

Explanation:
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Filed Under: Chemistry
Exam Prep: AIEEE , Bank Exams , CAT

Q:

Each question contains Quantity I and Quantity II. Read the contents clearly and answer your questions accordingly.

Quantity I: if the length of a rectangle is increased by 20% while the breadth of the rectangle is decreased by 10% then find percentage change in area of the rectangle?

Quantity II: if the side of a triangle is increased by 30% while the height of a triangle is decreased by 20% then find the percentage change in area of the triangle?

A) Quantity I > Quantity II B) Quantity I ≥ Quantity II
C) Quantity I< Quantity II D) Quantity I < Quantity II
 
Answer & Explanation Answer: A) Quantity I > Quantity II

Explanation:

Quantity I= 20% - 10% - (20*10/100) % = +8%

Quantity II= 30% - 20% - (30*20/100)% = +4%

Hence Quantity I > Quantity II

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Filed Under: Percentage