GATE Questions

Q:

A starts a business, after 6 months B also join him with Rs.4500 and after 2 months of B’s joining C also join them with Rs.4500. If A gets approx. Rs 4900 out of total annual profit of Rs. 10,000 then find the approximate value of initial investment of A.

A) Rs.4800 B) Rs.4200
C) Rs.3600 D) Rs.4400
 
Answer & Explanation Answer: C) Rs.3600

Explanation:

Let initial investment of A = x
Ratio of profit A : B : C = 12 × x : 6×4500 :4×4500
A :B:C = x : 2250: 1500
Now ATQx/(x+2250+1500) = 4900/10000
solving this we get,x ≈ Rs 3600

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Q:

The Supreme Court is best characterized as

A) a judicial court B) a federal court
C) a inferior court D) an appellate court
 
Answer & Explanation Answer: D) an appellate court

Explanation:
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Filed Under: Indian Politics
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Q:

If in an A.P series 18th term is 29 and 29th term is 18. Then find the 49th term ?

A) -3 B) -2
C) 0 D) 1
 
Answer & Explanation Answer: B) -2

Explanation:

We know that in A.P series
18th term = a + 17d
29th term = a + 28d
But given
a + 17d = 29..........(i)
a + 28d = 18......... (ii)
Solving equation (i) and (ii), we get
d = -1
put d = -1 in any of the above equations and we get,
a = 46
Now, we know 49th term can be written as, a + 48d
putting the value of a and d in the above equation,
a + 48d = 46 + 48(-1)
= 46 - 48
= -2

Hence, the 49th term is -2.

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Filed Under: Arithmetical Reasoning
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Q:

A vendor buys chikoos at 15 for Rs 8 and then sells at 10 for Rs 6. What will be the result?

A) 12.5 percent loss B) 11.11 percent gain
C) 12.5 percent gain D) 11.1 percent loss
 
Answer & Explanation Answer: C) 12.5 percent gain

Explanation:
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Filed Under: Profit and Loss
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Q:

Can you Solve 7 + 7 ÷ 7 + 7 x 7 + 7 - 7 ÷ 7 + 7 x 7 =

A) 112 B) 56
C) 0 D) 98
 
Answer & Explanation Answer: A) 112

Explanation:

7  + 7 ÷ 7 + 7 x 7 + 7 - 7 ÷ 7 + 7 x 7= 7 + 1 + 49 + 7 - 1 + 49= 8 + 56 + 48= 56 + 56= 112

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Filed Under: Mathematical Operations
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Q:

The delegate who created the compromise for the constitution was

A) Alexander Hamilton B) William Paterson
C) James Madison D) Roger Sherman
 
Answer & Explanation Answer: D) Roger Sherman

Explanation:

Roger Sherman, is the delegate who created the compromise for the U.S constitution.

the_delegate_who_created_the_compromise_for_the_constitution_was1537502237.jpg image

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Q:

Name a pair of complementary angles?

name_a_pair_of_complementary_angles1535013814.png image

A) B + C B) A + C
C) C + C D) B + A
 
Answer & Explanation Answer: D) B + A

Explanation:

Complementary angles are those whose sum is 90.

Given here, is a right angled triangle, where anfle C is 90 deg. In this, sum of Angles A + C = 90, since, sum of angles in a right angled triangle = 180, angle C = 90 and

hence sum of A + B = 180 - C = 180 - 90 = 90.

 

Hence, the pair of cimplementary angles in the given triangle = Angle A + B.

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Filed Under: Arithmetical Reasoning
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Q:

Which program is an example of domestic policy?

A) NAFTA B) The Versailles Treaty
C) The Clean Air Act NATO D) The Carter Doctrine
 
Answer & Explanation Answer: C) The Clean Air Act NATO

Explanation:

Domestic policy is the decisions made by a government regarding issues that occur within the country.

The Clean Air Act NATO program is an example of domestic policy.

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