GATE Questions

Q:

Joel travels the first 3 hours of his journey at 60 mph speed and the remaining 5 hours at 24 mph speed. What is the average speed of Joel's travel in kmph ?

A) 38 kmph B) 40 kmph
C) 60 kmph D) 54 kmph
 
Answer & Explanation Answer: C) 60 kmph

Explanation:

Average speed = Total distance / Total time.

Total distance traveled by Joel = Distance covered in the first 3 hours + Distance covered in the next 5 hours.

Distance covered in the first 3 hours = 3 x 60 = 180 miles
Distance covered in the next 5 hours = 5 x 24 = 120 miles

Therefore, total distance traveled = 180 + 120 = 300 miles.

Total time taken = 3 + 5 = 8 hours.

Average speed = 300/8 = 37.5 mph.

we know that 1 mile = 1.6 kms

=> 37.5 miles = 37.5 x 1.6 = 60 kms

Average speed in Kmph = 60 kmph.

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Filed Under: Time and Distance
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Q:

A man reads 3/7 of a book on a day and 2/5 of the remaining, on the second day. If the number of pages still unread are 36, how many pages did the book contain ?

A) 105 B) 101
C) 98 D) 109
 
Answer & Explanation Answer: A) 105

Explanation:

Let number of pages in a book = p

According to questions

p - [3p/7 + (2/5 x 4p/7)] = 36

= p - 23p/35 = 36

=> 12p = 36 × 35

p = 105

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Filed Under: Percentage
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10 4889
Q:

If a quarter kg of carrots costs 60 paise, how many paise will 200 gms cost ?

A) 78 paise B) 48 paise
C) 54 paise D) 62 paise
 
Answer & Explanation Answer: B) 48 paise

Explanation:

Quarter of Kg means 250 gm

Less weight, less price (Direct Proportion)

So,

250 : 200 :: 60 : x => x = 48

So 200 gm will cost 48 paise.

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Filed Under: Chain Rule
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33 4883
Q:

Grey Revolution is associated with

A) Cotton B) Fruits
C) Fertilizers D) Oil seeds
 
Answer & Explanation Answer: C) Fertilizers

Explanation:

Grey Revolution is associated with Fertilizers.

 

      • Cotton - Silver fiber Revolution

 

      • Fruits - Golden Revolution

 

      • Oil seeds - Yellow Revolution
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Filed Under: Indian History
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14 4882
Q:

X and Y entered into partnership with Rs. 700 and Rs. 600 respectively. After another 3 months, X withdrew two- sevenths of his stock but after 3 months, he puts back three-fifths of what he had withdrawn. The total profit at the end of the year is Rs. 726. How much of this should X receive?

A) Rs. 336 B) Rs. 366
C) Rs. 633 D) Rs. 663
 
Answer & Explanation Answer: B) Rs. 366

Explanation:

Profit ratio X & Y = (700 × 3) + (700 × 5/7× 3) + (700× 5/7 + 200 × 3/5 )× 6 : 600 ×12
X:Y= 7320 : 7200= 183:180
∴ X’s share from profit = 183 × 726/(183+180) = Rs. 366.

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1 4871
Q:

On the eve of Christmas, all the things are kept in apple-pie order.

A) with neatness B) in perfect order
C) in jumbled order D) Both A & B
 
Answer & Explanation Answer: D) Both A & B

Explanation:
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Filed Under: Alphabet Test
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15 4866
Q:

P’s son Q is married with R whose sister S is married to T the brother of Q. How S is related to P ?

A) Daughter-in-law B) Sister
C) Cousin D) Sister-in-law
 
Answer & Explanation Answer: A) Daughter-in-law

Explanation:

Since T is the brother of Q
Therefore, P is the father of T
but S is the wife of T.
Hence, S is the daughter-in-law of P.

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Filed Under: Blood Relations
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4 4866
Q:

How many seconds will a 800 meter long train moving with a speed of 63 km/hr take to cross a man walking with a speed of 3 km/hr in the direction of the train ?

A) 48 B) 52
C) 38 D) 42
 
Answer & Explanation Answer: A) 48

Explanation:

Here distance d = 800 mts

speed s = 63 - 3 = 60 kmph = 60 x 5/18 m/s

time t = 800x1860x5= 48 sec.

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Filed Under: Time and Distance
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3 4866