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Q:

Two numbers are such that the sum of twice the first number and thrice the second number is 36 and the sum of thrice the first number and twice the second number is 39. Find the difference between the numbers?

A) 15	B) 3
C) 9	D) 6

Answer & Explanation Answer: A) 15

Explanation:

Let the required two numbers be a, b

From the given data,

2a + 3b = 36 .....(1)

3a + 2b = 39 .....(2)

Now, by solving 1 and 2 eqnts, we get

5a = 45

a = 9 ....(3)

Put (3) in (1), we get

2(9) + 3b = 36

=> 18 + 3b = 36

3b = 36 - 18

=> b = 18/3 = 6

Required, difference between the numbers = a + b = 9 + 6 = 15.

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Filed Under: Simplification
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Q:

A jar can 20 litre milk. From the jar, 4 litres milk was taken out and replaced with an equal quantity of water. If 4 litres of the newly formed mixture is taken out of the can, then what is the final quantity of milk left in the can?

A) 14.5 lit	B) 12.8 lit
C) 11.6 lit	D) 10.46 lit

Answer & Explanation Answer: B) 12.8 lit

Explanation:

This can be solved as

$20 {(1 - \frac{4}{20})}^{2} = 20 {(1 - \frac{1}{5})}^{2} = 20 {(\frac{4}{5})}^{2} = 20 (\frac{16}{25}) = \frac{64}{5} = 12.8$

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Filed Under: Percentage
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Q:

Shiva purchased 280 kg of Rice at the rate of 15.60/kg and mixed it with 120 kg of rice purchased at the rate of 14.40/kg. He wants to earn a profit of Rs. 10.45 per kg by selling it. What should be the selling price of the mix per kg?

A) Rs. 22.18	B) Rs. 25.69
C) Rs. 26.94	D) Rs. 27.54

Answer & Explanation Answer: B) Rs. 25.69

Explanation:

Rate of rice of quantity 280 kg = Rs. 15.60/kg

Rate of rice of quantity 120 kg = Rs. 14.40/kg

He want to earn a profit of Rs. 10.45/kg

Rate of Mix to sell to get profit of 10.45 =

$\frac{280 x 15.60 + 120 x 14.40}{280 + 120} + 10.45 \frac{4368 + 1728}{400} + 10.45 = > 15.24 + 10.45 = 25.69$

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

Which statement best describes the relationship between science and technology?

A) Technology is a branch of science.	B) Advances in science can lead to new technology.
C) Without technology there is no science.	D) Technology is not related to science.

Answer & Explanation Answer: B) Advances in science can lead to new technology.

Explanation:

The aim of science is to get an understanding of the natural world, while the aim of technology is to use that understanding to improve people's lives.

Hence, Advances in science can lead to new technology.

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Filed Under: General Awareness
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Q:

Raghu can do a job in 12 days alone and Sam can do the same job in 15 days alone. A third person Aru whose efficiency is two-third of efficiency of both Ram and Shyam together, can do the same job in how many days alone?

A) 10	B) 12
C) 13	D) 15

Answer & Explanation Answer: A) 10

Explanation:

One day work of Raghu and Sam together = 1/12 + 1/15 = 9/60 = 3/20

Aru efficiency = 2/3 of (Raghu + Sam)

Number of days required for Aru to do thw work alone = 3/2 x 20/3 = 10 days.

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Filed Under: Time and Work
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Q:

What comes once in a year, twice in a week and never in a day?

A) Sunday	B) New moon day
C) E	D) All of the above

Answer & Explanation Answer: C) E

Explanation:

YEAR - 1 E

WEEK - 2 E

DAY - 0 E

Hence, the letter 'E', comes once in a year, twice in a week and never in a day.

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Filed Under: Logic Puzzles
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE , TOEFL
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Q:

You heard me before and then again. Afterward I die until you call me again.

What am I?

Answer

ECHO.

Workspace

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Subject: Logic Puzzles Exam Prep: CAT , Bank Exams , AIEEE
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Q:

When does land breeze occur?

A) Fall	B) Winter
C) Both A & B	D) Hot summer

Answer & Explanation Answer: C) Both A & B

Explanation:

Land breezes are more common during winter and fall season. It occurs as it becomes night, the air on the land colls fast and air on the water surface are warmth than that and begin to rise.

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Filed Under: Physics
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