GATE Questions

Q:

Rohan spends 24% of an amount of money on an insurance policy, 34% on food, 19% on children’s education and 17% on recreation. He deposits the remaining amount of Rs. 540 in bank. How much total amount does he spend on food and insurance policy together?

A) Rs. 6350 B) Rs. 5220
C) Rs. 5890 D) Rs. 6458
 
Answer & Explanation Answer: B) Rs. 5220

Explanation:

Remaining % of amount with Rohan

= 100 - (24 + 34 + 17 + 19)

= 100 - 94

= 6%

=> 6% = 540

=> 100% = ?

540 x 100/6 = Rs. 9000

Now, Money spent on insurance and food is

= 34 + 24 = 58% of 9000

= 58 x 9000/100

= 58 x 90

= Rs. 5220

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Filed Under: Percentage
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Q:

A container contains 120 lit of Diesel. From this container, 12 lit of Diesel was taken out and replaced by kerosene. This process was further repeated for two times. How much diesel is now there in the container ?

A) 88.01 lit B) 87.48 lit
C) 87.51 lit D) 87.62 lit
 
Answer & Explanation Answer: B) 87.48 lit

Explanation:

For these type of problems,

Quantity of Diesel remained = q1-pqn   

 

Here p = 12 , q = 120 

 

=> 1201-121203 = 120 x 0.9 x 0.9 x 0.9 = 87.48 lit.

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Filed Under: Alligation or Mixture
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Q:

The composition of electrician solder is

A) lead-37%, tin-63% B) Iron-37%, tin-63%
C) lead-37%, Steel-63% D) Steel-37%, copper-63%
 
Answer & Explanation Answer: A) lead-37%, tin-63%

Explanation:
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Filed Under: Physics
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Q:

The price of commodity X increases by 60 rupees every year, while the price of commodity Y increases by 20 rupees every year. If in 2002, the price of commodity X was Rs. 320 and that of Y was Rs. 740, in which year commodity X will cost 60 rupees more than the commodity Y ?

A) 2011 B) 2014
C) 2012 D) 2017
 
Answer & Explanation Answer: B) 2014

Explanation:

If After p years , commodity X will cost 60 rupees more than the commodity Y, then

320 + 60p = 740 + 20p + 60
=> p = 12

So in year (2002 + 12 = 2014), commodity X will cost Rs.60 more than the commodity Y.

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Filed Under: Arithmetical Reasoning
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Q:

Dry ice is nothing but

A) Solid carbon dioxide B) Baking soda
C) Gaseous carbon dioxide D) Carbon monoxide
 
Answer & Explanation Answer: A) Solid carbon dioxide

Explanation:

dry-ice1531812120.jpg image

 

Dry ice is solid form of carbon dioxide, used as a cooling agent.

 

It lower temperature than that of water ice and not leave any residue.

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Filed Under: Chemistry
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Q:

If rupee two produces rupees eleven over a period of 30 years, find the rate of simple interest ?

A) 17.25 % B) 18.14 %
C) 18.33 % D) 17.35 %
 
Answer & Explanation Answer: C) 18.33 %

Explanation:

We know that I = PTR/100

11 = (2x30xR)/100

R = 18.333 %

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Filed Under: Simple Interest
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Q:

Shamma lends Rs.40,000 to two of her friends. She gives Rs.24,000 to the first at 8% p.a. simple interest. Shamma wants to make a profit of 10% on the whole. The simple interest rate at which she should lend the remaining sum of money to the second friend is:

A) 13% B) 8.5%
C) 9.5% D) 11.25%
 
Answer & Explanation Answer: A) 13%

Explanation:

The ratio of money she lended is

24000 : 16000 = 3 : 2

Let the rate of interest be R%

 

8%                   R%
     

           10

 

3          :           2

 

R = 13%.

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Filed Under: Profit and Loss
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Q:

A 150 m long train crosses another 210 m long train running in the opposite direction in 10.8 seconds. If the shorter train crosses a pole in 12 seconds, what is the speed of longer train ?

A) 75 kmph B) 80 kmph
C) 54 kmph D) 45 kmph
 
Answer & Explanation Answer: A) 75 kmph

Explanation:

Total distance = 150 + 210 = 360 mts

Time taken to cross each other when moving in opposite direction = 10.8 sec

Relative speed of trains = (350/10.8) x 18/5 = 3600/30 = 120 kmph

Speed of shorter train = (150/12) x 18/5 = 45 kmph

 

Hence, speed of longer train = 120 - 45 = 75 kmph.

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Filed Under: Problems on Trains
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