GATE Questions

Q:

What is the difference in the shares of profit between P and Q in a joint business at the end of one year ?

a. P Invested Rs. 80,000 and withdrew Rs. 20,000 after 6 months.

b. Q joined four months after the start of business.

c. Q's amount was 80% of P's amount during the last six months.

A) Only a B) Only c
C) Both a & b D) Data is not sufficient
 
Answer & Explanation Answer: D) Data is not sufficient

Explanation:

a. P's investment = (80000 x 6 + 60000 x 6) = 840000 for 1 month.

b & c. Q's investment = 80% of Rs. 60000 for 8 months.

= Rs.(48000 x 8) for 1 month = 384000 for 1 month

P : Q = 840000 : 384000 = 35 : 16.

But, the total profit is not given, so data is inadequate.

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Filed Under: Partnership
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Q:

Which of the following is not a macronutrient?

A) Carbohydrates B) Calcium
C) Chlorine D) Proteins
 
Answer & Explanation Answer: C) Chlorine

Explanation:

Nutrients that are needed in large amounts are called Macronutrients.

 

There are three macronutrients required by humans:

1. carbohydrates (sugar),

2. lipids (fats), and

3. proteins.

 

Each of these macronutrients provides energy in the form of calories.

 

Some other macronutrients are: nitrogen (N), phosphorus (P), potassium (K), calcium (Ca), sulfur (S), magnesium (Mg), sodium (Na).

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Q:

Sravan drove from home to a neighboring town at the speed of 50 km/h and on his returning journey, he drove at the speed of 45 km/h and also took an hour longer to reach home. What distance did he cover?

A) 350 kms B) 450 kms
C) 900 kms D) 700 kms
 
Answer & Explanation Answer: C) 900 kms

Explanation:

Let the distance he covered each way = d kms

According to the question,

d/45 - d/50 = 1

=> d = 450 kms.

 

Hence, the total distance he covered in his way = d + d = 2 d = 2 x 450 = 900 kms.

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Q:

What type of bond is joining the two hydrogen atoms?

A) Hydrophobic B) Ionic
C) Covalent D) Hydrophilic
 
Answer & Explanation Answer: C) Covalent

Explanation:

Covalent type of bonding joins The two hydrogen atoms are joned by Covalent type of bonding.

In this type of bonding, electrons are shared between the atoms in order to fill there valence shells. Thus sharing of electrons take place in between the hydrogen atoms.

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Filed Under: Chemistry
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Q:

Statement 1: Elizabeth has four children.
Statement 2: Two of the children have blue eyes and two of the children have brown eyes.
Statement 3: Half of the children are girls.
If the first three statements are facts, which of the following statements must also be a fact?

a. At least one girl has blue eyes.
b. Two of the children are boys.
c. The boys have brown eyes.

A) a only B) a and b
C) b only D) b and c
 
Answer & Explanation Answer: C) b only

Explanation:

Since half of the four children are girls, two must be boys. It is not clear which children have blue or brown eyes. So only statement (b) follows.

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Filed Under: Statement and Conclusions
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Q:

In how many ways can letter of the word RAILINGS arrange so that R and S always come together?

A) 1260 B) 2520
C) 5040 D) 1080
 
Answer & Explanation Answer: C) 5040

Explanation:

The number of ways in which the letters of the word RAILINGS can be arranged such that R & S always come together is

 

Count R & S as only 1 space or letter so that RS or SR can be arranged => 7! x 2!

 

But in the word RAILINGS, I repeated for 2 times => 7! x 2!/2! = 7! ways = 5040 ways.

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Filed Under: Permutations and Combinations
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Q:

The average age of Vishal and Raghavendra is 24 years. If a new person Veerender is also included, the average age is increased by 1.5 years. What is the age of Veerender?

A) 28.5 yrs B) 29.5 yrs
C) 30.5 yrs D) 27 yrs
 
Answer & Explanation Answer: A) 28.5 yrs

Explanation:

According to the given data,

(V + R)/2 = 24

Now, after joining of Veerender,

V + R + D)/3 = 25.5

Hence, Veerender Age = 3(25.5) - 2(24) = 76.5 - 48 = 28.5 years.

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Q:

There are several peacocks and deers in a cage (with no other types of animals). There are 72 heads and 200 feet inside the cage. How many peacocks are there, and how many deers ?

A) 42 & 24 B) 38 & 26
C) 36 & 24 D) 44 & 28
 
Answer & Explanation Answer: D) 44 & 28

Explanation:

Let
x = peacocks
y = deers

2x + 4y = 200
x + y = 72
y = 72 - x
2x + 288 - 4x = 200
x = 44 peacocks
y = 28 deers

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Filed Under: Numbers
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