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GATE Questions

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Q:

5x - 6 = 3x - 8

Solve the above equation.

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

Explanation:

Given 5x - 6 = 3x - 8

5x - 3x = -8 + 6

2x = -2

=> x = -1.

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Filed Under: Mathematical Operations
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23 13495
Q:

A shopkeeper sold a mobile phone for Rs. 12000. Had he offered discount of 10% on the selling price, there would be a loss of 4%. What is the cost price of that Mobile phone?

A) Rs. 12,500 B) Rs. 11,250
C) Rs. 12,750 D) Rs. 11,680
 
Answer & Explanation Answer: B) Rs. 11,250

Explanation:

Given that SP = Rs. 12000 - 10%  = Rs. 10,800

Loss% = 4

We know that, C.P = 100/(100 - Loss%) x 100

=> 100/100-4 x 10800

=> 1080000/96

C.P = Rs. 11,250

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Filed Under: Profit and Loss
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14 13490
Q:

Madhu started a business and he invested in 76000, After some month, Amar came to join with him and invest 57000.The end of the year the total profit was divided among them into ratio form 2 : 1.Find after how many months Amar join.

A) 7 months B) 8 months
C) 3 months D) 4 months
 
Answer & Explanation Answer: D) 4 months

Explanation:

we can assume that Amar join into business after x months. So Amar money was invest into  (12 – x ) months.

 

76000×1257000×(12-x)=21

 

--> 912000 = 114000 ( 12 – x ) = 114 ( 12 – x ) = 912

--> x = 4


After 4 months amar join the business.

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Filed Under: Partnership
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7 13479
Q:

The cost of 7 tables and 12 chairs is Rs 48,250. What is the cost of 21 tables and 36 chairs ?

A) Rs. 1,44,750 B) Rs. 2,35,745
C) Rs. 89,489 D) Rs.74,256
 
Answer & Explanation Answer: A) Rs. 1,44,750

Explanation:

3T+12C = 48,250----(1)

21T+36C = ?

multiply eq (1) with 3
i.e,, 3(7T+12C) = 48,250*3
21T+36C = 1,44,750/-

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Filed Under: Arithmetical Reasoning
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25 13476
Q:

First Bank to introduce Credit Card in India

A) HSBC Bank B) ICICI Bank
C) State Bank of India D) Central Bank of India
 
Answer & Explanation Answer: D) Central Bank of India

Explanation:

 

        • First Bank to introduce Credit Card in India - Central Bank of India
        • First Bank to introduce ATM  -  HSBC, 1987
        • First Bank to introduce Internet Banking - ICICI Bank

 

 

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Filed Under: General Awareness
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21 13476
Q:

Rs. 2600 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/2:1/3:1/4 ?

A) 600 B) 300
C) 150 D) 75
 
Answer & Explanation Answer: A) 600

Explanation:

1/2:1/3:1/4 = 6:4:3

As the difference is 3

=> 3/13x2600 = 600

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Filed Under: Ratios and Proportions
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20 13472
Q:

Genuine : Authentic : : Mirage : ?

A) Transpiration B) Illusion
C) Reflection D) Image
 
Answer & Explanation Answer: B) Illusion

Explanation:

Here the given pair of words are related in such a way that they are synonyms.

That is Genuine and Authentic are synonyms and similarly, Mrage and illusion are synonyms.

 

Hence, Genuine : Authentic : : Mirage : Illusion.

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Filed Under: Analogy
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9 13458
Q:

Two trains are moving in the same direction at 72 kmph and 36 kmph. The faster train crosses a girl sitting at window seat in the slower train in 32 seconds. Find the length of the faster train ?

A) 170 m B) 100 m
C) 270 m D) 320 m
 
Answer & Explanation Answer: D) 320 m

Explanation:

Relative speed = (72 - 36) x 5/18 = 2 x 5 = 10 mps.
Distance covered in 32 sec = 32 x 10 = 320 m.

The length of the faster train = 320 m.

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Filed Under: Problems on Trains
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