GATE Questions

Q:

Systematic name for (CuI)s ?

A) Copper Iodide B) Cobalt Fluoride
C) Ferrous Oxide D) All of the above
 
Answer & Explanation Answer: A) Copper Iodide

Explanation:

Copper Iodide is the systematic name of the given compound (CuI)s.

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Filed Under: Chemistry
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5 8294
Q:

k, l, m together started a business. k invested Rs.6000 for 5 months l invested Rs.3600 for 6 months and m Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of l ?

A) Rs. 1640 B) Rs. 2500
C) Rs. 2160 D) Rs. 3000
 
Answer & Explanation Answer: C) Rs. 2160

Explanation:

=> 60x5 : 36x6 : 75x3

=> 100 : 72 : 75

=> 72/247 x 7410 = Rs. 2160

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Filed Under: Partnership
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5 8281
Q:

A man spend Rs. 810 in buying trouser at Rs. 70 each and shirt at Rs. 30 each. What will be the ratio of trouser and shirt when the maximum number of trouser is purchased ?

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

Explanation:

Let us assume S as number of shirts and T as number of trousers
Given that each trouser cost = Rs.70 and that of shirt = Rs.30
Therefore, 70 T + 30 S = 810
=> 7T + 3S = 81......(1)
T = ( 81 - 3S )/7

We need to find the least value of S which will make (81 - 3S) divisible by 7 to get maximum value of T
Simplifying by taking 3 as common factor i.e, 3(27-S) / 7
In the above equation least value of S as 6 so that 27- 3S becomes divisible by 7

Hence T = (81-3xS)/7 = (81-3x6)/7 = 63/7 = 9

Hence for S, put T in eq(1), we get
S = 81-7(9)/3 = 81-63 / 3 = 18/3 = 6.
The ratio of T:S = 9:6 = 3:2.

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Filed Under: Ratios and Proportions
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14 8275
Q:

In the series given below , how many 8's are there each of which is exactly divisible by its immediate preceeding as well as succeeding numbers ?
2 8 3 8 2 4 8 2 4 8 6 8 2 8 2 4 8 3 8 2 8 6

A) five B) four
C) two D) one
 
Answer & Explanation Answer: C) two

Explanation:

Clearly, we may mark such sets of 3 numbers, in which the middle number is 8 and each of the two numbers on both sides of it is a factor of 8, as shown below :


2 8 3 8 2 4 8 2 4 8 6 8 2 8 2 4 8 3 8 2 8 6

So, there are two such 8's. Hence the answer is C.

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14 8271
Q:

An alloy contains gold and silver in the ratio 5 : 8 and another alloy contains gold and silver in the ratio 5 : 3. If equal amount of both the alloys are melted together, then the ratio of gold and silver in the resulting alloy is ?

 

A) 113/108 B) 105/103
C) 108/115 D) 103/113
 
Answer & Explanation Answer: B) 105/103

Explanation:

As given equal amounts of alloys are melted, let it be 1 kg.

Required ratio of gold and silver = 513 + 58813 + 38 = 105103.

 

Hence, ratio of gold and silver in the resulting alloy = 105/103.

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Filed Under: Alligation or Mixture
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15 8258
Q:

Sripad has scored average of 65 marks in three objects. In no subjects has he secured less than 58 marks. He has secured more marks in Maths than other two subjects. What could be his maximum score in Maths ?

A) 79 B) 77
C) 76 D) 73
 
Answer & Explanation Answer: A) 79

Explanation:

Assuming Sripad has scored the least marks in subject other than science,
Then the marks he could secure in other two are 58 each.
Since the average mark of all the 3 subject is 65.
i.e (58+58+x)/3 = 65
116 + x = 195
x = 79 marks.

Therefore, the maximum marks he can score in maths is 79.

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Filed Under: Average
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5 8254
Q:

'Brothers and sisters, I have none. But that man's father is my father's son'.
How I and that man are related respectively?

A) Father & Son B) Brothers
C) Son & Father D) Nephews
 
Answer & Explanation Answer: A) Father & Son

Explanation:

Given that man's father is my father's son => Me because i have no brothers

=> Mans father is me.

Hence, that man is my Son.

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12 8250
Q:

Which vehicle is spelled the same forwards and backwards?

Answer

Racecar and Civic are the two vehicles which spelled the same forwards an backwards.

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