GATE Questions

Q:

The average weight of 45 passengers in a bus is 52 kg. 5 of them whose average weight is 48 kg leave the bus and other 5 passengers whose average weight is 54 kg join the bus at the same stop. What is the new average weight of the bus?   

A) 54.21 kgs B) 51.07 kgs
C) 52.66 kgs D) 53.45 kgs
 
Answer & Explanation Answer: C) 52.66 kgs

Explanation:

Given total number of passengers in the bus = 45

First average weight of 45 passengers = 52 kgs

Average weight of 5 passengers who leave bus = 48

Average weight of passengers who joined the bus = 54

Therefore, the net average weight of the bus is given by

= 45 x 52 - 5 x 48 + 5 x 5445 = 237045= 1583= 52.66 kgs.

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Filed Under: Average
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31 10797
Q:

Sonika invested an amount of Rs.5800 for 2 years. At what rate of compound interest will she get an amount of Rs.594.50 at the end of 2 years ?

A) 6.5% B) 6%
C) 5% D) 4.5%
 
Answer & Explanation Answer: C) 5%

Explanation:

C.I = P1+r100t-1

 

594.5 = 58001+r1002-1

 594.55800+1=1+r1002

 

r100=1.05-1=0.05=> r = 5 % .

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Filed Under: Compound Interest
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13 10765
Q:

What was the day on 2nd Jan 1901 ?

A) Tuesday B) Wednesday
C) Monday D) Thursday
 
Answer & Explanation Answer: B) Wednesday

Explanation:

2nd Jan 1901 means
(1900 years and 2 day)
Now, 1600 years have 0 odd day
300 years have 1 odd day
2 days has 2 odd day
Total no. of odd days = 0 + 1 + 2 = 3 days
Hence, the day on 2nd Jan 1901 was Wednesday.

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Filed Under: Calendar
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24 10758
Q:

If k : l = 4 : 3 and l : m = 5 : 3, then find k : l : m ?

A) 18 : 24 : 11 B) 9 : 15 : 1
C) 20 : 15 : 9 D) 21 : 7 : 3
 
Answer & Explanation Answer: C) 20 : 15 : 9

Explanation:

Given k : l = 4 : 3
l : m = 5 : 3

Then k : l : m = 20 : 15 : 9

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Filed Under: Ratios and Proportions
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12 10746
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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Filed Under: Number Series
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26 10741
Q:

If the HCF of 210 and 55 is expressible in the form of 210 x 5 + 55P, then value of P = ?

A) -23 B) 27
C) 16 D) -19
 
Answer & Explanation Answer: D) -19

Explanation:

HCF of 210 and 55 is 5

Now, 210x5 + 55P = 5

=> 1050 + 55P = 5

=> 55P = -1045

=> P = -1045/55

=> P = -19.

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Filed Under: HCF and LCM
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28 10736
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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Filed Under: Analogy
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10 10736
Q:

What could cause a Fixed Disk Error?

A) Slow Processor Speed B) RAM Space
C) Incorrect CMOS Settings D) None
 
Answer & Explanation Answer: C) Incorrect CMOS Settings

Explanation:
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Filed Under: Computer
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24 10705