GATE Questions

Q:

Find the wrong number in the given series :

26, 20, 16, 11, 8, 6, 5

A) 5 B) 26
C) 11 D) 16
 
Answer & Explanation Answer: D) 16

Explanation:

26 - 6 = 20

20 - 5 = 15

15 - 4 = 11

11 - 3 = 8

8 - 2 = 6

6 - 1 = 5

Therefore, 16 is wrong number.

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Filed Under: Number Series
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23 10271
Q:

A train for Fathehpur leaves for every 2 hrs 30 min from Agra station. An announcement was made that train left 37 mins ago and next train comes at 17:00hrs. At what time was the announcement made ? 

A) 15:07 hrs B) 15:20 hrs
C) 15:05 hrs D) 15:00 hrs
 
Answer & Explanation Answer: A) 15:07 hrs

Explanation:

Next train comes at 17:00 hrs.
So, last train will be = 17:00hrs - 2:30hrs
= 14:30hrs
Announcement made after 37 min of the last train.
S0, 14:30hrs + 00:37 min
= 15:07 hrs.

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10 10270
Q:

The average age of a couple is 24 years when they were married five years ago but now the average age of the husband, wife and child is 20 years(the child was born during the interval). What is the present age of the child ?

A) 2 yrs B) 4 yrs
C) 3 yrs D) 5 yrs
 
Answer & Explanation Answer: A) 2 yrs

Explanation:

29 x 2 = 58
20 x 3 = 60
         -----------
               2 years

Therefore, the age of child is 2 years.

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18 10262
Q:

_ tu _ rt _ s _ _ usrtu _

A) rsutrr B) rsurtr
C) rsurts D) rtusru
 
Answer & Explanation Answer: C) rsurts

Explanation:

The series rtus/rtus/rtus/rtus. Thus, the pattern 'rtus' is repeated.

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26 10248
Q:

Which of the following has the highest frequency?

A) Cosmic rays B) X-rays
C) Radio waves D) Microwaves
 
Answer & Explanation Answer: A) Cosmic rays

Explanation:
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Filed Under: Physics
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30 10245
Q:

Tadpole is to frog as larva is to

A) insect B) spider
C) worm D) None of the above
 
Answer & Explanation Answer: A) insect

Explanation:

Tadpole is the larval stage in all the amphibians whereas larva in all the insects.

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10 10230
Q:

What is the conjugate base of H2O?

A) NH3+ B) OH-
C) H2O D) All the above
 
Answer & Explanation Answer: B) OH-

Explanation:

A conjugate acid, is a species formed by the reception of a proton (H+) by a base—in other words, it is a base with a hydrogen ion added to it.

On the other hand, a conjugate base is what is left over after an acid has donated a proton during a chemical reaction. Hence, a conjugate base is a species formed by the removal of a proton from an acid.

Because some acids are capable of releasing multiple protons, the conjugate base of an acid may itself be acidic.

Represented as the following chemical reaction:

Acid + Base ⇌ Conjugate Base + Conjugate Acid

 

The water molecule is the conjugate acid of the hydroxide ion after the latter received the hydrogen proton donated by ammonium. On the other hand, ammonia is the conjugate base for the acid ammonium after ammonium has donated a hydrogen ion towards the production of the water molecule. We can also refer to OH- as a conjugate base of H2O, since the water molecule donates a proton towards the production of NH+4 in the reverse reaction, which is the predominating process in nature due to the strength of the base NH3 over the hydroxide ion.

 

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4 10223
Q:

Divide Rs.118000 among three persons A, B and C such that the ratio of the shares of A and B is 3:4 and that of B:C is 5:6 ?

A) A = 48000 B = 40000 C = 30000 B) A = 30000 B = 40000 C = 48000
C) A = 30000 B = 48000 C = 40000 D) A = 40000 B = 48000 C = 30000
 
Answer & Explanation Answer: B) A = 30000 B = 40000 C = 48000

Explanation:

Compound ratio of A:B:C
A:B = 3:4
B:C = 5:6
----------
A:B:C = 15:20:24

We can divide Rs.118000 in this ratio.

Share of A = 15/59 x 118000 = 30000

Share of B = 20/59 x 118000 = 40000

Share of C = 24/59 x 118000 = 48000

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Filed Under: Partnership
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4 10188