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GATE SOLVED PAPER - ME
2014-2
General Aptitude
Q. 1 - Q. 5 Carry one mark each.
Q. 1 Choose the most appropriate word from the options given below to complete the
following sentence.
Communication and interpersonal skills are _____ important in their own
ways.
(A) each
(C) all om (B) both
(D) either
.c
s
Sol. 1 Correct option is (B).
a
Two subjects i.e. communication and interpersonal skills, are connected with
Q. 2
at
‘and’ so ‘both’ is used.
Which of the options given below best completes the following sentence ?
ild
She will feel much better if she _____.
(A) will get some rest (B) gets some rest
iv
(C) will be getting some rest (D) is getting some rest
Sol. 2
.C
Correct option is (B).
It is a conditional sentence
w
s + will + verb (1) + if + s + Present indefinite tense
w
So (B) gets some rest.
w
Other types of conditional sentence –
1. If + verb (2nd) + ____would + verb (1)
2. If + s + had + verb (3 rd ) + would/could/might have + verb(3 rd )
Q. 3 Choose the most appropriate pair of words from the options given below to
complete the following sentence.
She could not _____ the thought of ______ the election to her bitter rival.
(A) bear, loosing (B) bare, loosing
(C) bear, losing (D) bare, losing
Sol. 3 Correct option is (C).
‘could’ is a modal and after modal we use verb 1 st form. verb + of + v (1 st ) + ing
though of losing.
Q. 4 A regular die has six sides with numbers 1 to 6 marked on its sides. If a very
large number of throws show the following frequencies of occurrence: 1 " 0.167 ;
2 " 0.167 ; 3 " 0.152 ; 4 " 0.166 ; 5 " 0.168 ; 6 " 0.180 . We call this die
(A) irregular (B) biased
(C) Gaussian (D) insufficient
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GATE SOLVED PAPER - ME 2014-2
Sol. 4 Correct option is (B).
As the frequencies of occurrence of sides are not constant or near by a fixed value
so it is a biased die.
Q. 5 Fill in the missing number in the series.
2 3 6 15 ____ 157.5 630
Sol. 5 Correct answer is 45.
3 = 1.5
2
6 =2
3
15 = 2.5
6
x
So,
om 15
157.5
= 3 & x = 45
.c 45
= 3.5
as
Q. 6 - Q. 10 Carry two marks each.
Q. 6
at
Find the odd one in the following group
il
(A) Q,W,Z,Bd
Q,W,Z,B B,H,K,M W,C,G,J M,S,V,X
(B) B,H,K,M
iv
(C) W,C,G,J (D) M,S,V,X
.C
Sol. 6 Correct option is (C).
Q, W, Z, B
w
In b/w Q and W these are 5 letters
In b/w W and Z these are 2 letter
w
In b/w Z and B these is 1 letter
w
Same case in BHKM and MSVX
But in WCGJ, these are 3 letters in between C and G.
Q. 7 Lights of four colors (red, blue, green, yellow) are hung on a ladder. On every
step of the ladder there are two lights. If one of the lights is red, the other light
on that step will always be blue. If one of the lights on a step is green, the other
light on that step will always be yellow. Which of the following statements is not
necessarily correct ?
(A) The number of red lights is equal to the number of blue lights
(B) The number of green lights is equal to the number of yellow lights
(C) The sum of the red and green lights is equal to the sum of the yellow and
blue lights
(D) The sum of the red and blue lights is equal to the sum of the green and yellow
lights
Sol. 7 Correct option is (D).
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GATE SOLVED PAPER - ME 2014-2
So no. of Red and Blue lights are same. Green and yellow lights have same
number. Sum of Red and green will be equal to sum of Blue and yellow lights
because they are on single side of ladder. So option (D) is correct, which is not
necessarily right.
Q. 8 The sum of eight consecutive odd numbers is 656. The average of four consecutive
even numbers is 87. What is the sum of the smallest odd number and second
largest even number ?
Sol. 8 Correct answer is 163.
So
m
Let first odd number be n
o
nS + n + 2 +
S
n + 14 = 656
.c 1 2
A BB
8
BC
s
8n + 56 = 656
ta 8n = 600
n = 75
a
So odd numbers 75, 77, 79, 81, 83, 85, 87.
d
il
Let first even number be m
iv
So average of 4 even numbers
S
m +m + 2+m + 4 +m + 6
A BB
B C A BBB C A BBBC
.C
1 2 3 4
= 87
4
w
4m + 12 = 87
4
w m = 84
w
So, 84, 86, 88, 90
Sum of smallest odd no and second largest even no. = 75 + 88 = 163 .
Q. 9 The total exports and revenues from the exports of a country are given in the two
charts shown below. The pie chart for exports shows the quantity of each item
exported as a percentage of the total quantity of exports. The pie chart for the
revenues shows the percentage of the total revenue generated through export of
each item. The total quantity of exports of all the items is 500 thousand tonnes
and the total revenues are 250 crore rupees. Which item among the following has
generated the maximum revenue per kg ?
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GATE SOLVED PAPER - ME
2014-2
General Aptitude
Q. 1 - Q. 5 Carry one mark each.
Q. 1 Choose the most appropriate word from the options given below to complete the
following sentence.
Communication and interpersonal skills are _____ important in their own
ways.
(A) each
(C) all om (B) both
(D) either
.c
s
Sol. 1 Correct option is (B).
a
Two subjects i.e. communication and interpersonal skills, are connected with
Q. 2
at
‘and’ so ‘both’ is used.
Which of the options given below best completes the following sentence ?
ild
She will feel much better if she _____.
(A) will get some rest (B) gets some rest
iv
(C) will be getting some rest (D) is getting some rest
Sol. 2
.C
Correct option is (B).
It is a conditional sentence
w
s + will + verb (1) + if + s + Present indefinite tense
w
So (B) gets some rest.
w
Other types of conditional sentence –
1. If + verb (2nd) + ____would + verb (1)
2. If + s + had + verb (3 rd ) + would/could/might have + verb(3 rd )
Q. 3 Choose the most appropriate pair of words from the options given below to
complete the following sentence.
She could not _____ the thought of ______ the election to her bitter rival.
(A) bear, loosing (B) bare, loosing
(C) bear, losing (D) bare, losing
Sol. 3 Correct option is (C).
‘could’ is a modal and after modal we use verb 1 st form. verb + of + v (1 st ) + ing
though of losing.
Q. 4 A regular die has six sides with numbers 1 to 6 marked on its sides. If a very
large number of throws show the following frequencies of occurrence: 1 " 0.167 ;
2 " 0.167 ; 3 " 0.152 ; 4 " 0.166 ; 5 " 0.168 ; 6 " 0.180 . We call this die
(A) irregular (B) biased
(C) Gaussian (D) insufficient
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GATE SOLVED PAPER - ME 2014-2
Sol. 4 Correct option is (B).
As the frequencies of occurrence of sides are not constant or near by a fixed value
so it is a biased die.
Q. 5 Fill in the missing number in the series.
2 3 6 15 ____ 157.5 630
Sol. 5 Correct answer is 45.
3 = 1.5
2
6 =2
3
15 = 2.5
6
x
So,
om 15
157.5
= 3 & x = 45
.c 45
= 3.5
as
Q. 6 - Q. 10 Carry two marks each.
Q. 6
at
Find the odd one in the following group
il
(A) Q,W,Z,Bd
Q,W,Z,B B,H,K,M W,C,G,J M,S,V,X
(B) B,H,K,M
iv
(C) W,C,G,J (D) M,S,V,X
.C
Sol. 6 Correct option is (C).
Q, W, Z, B
w
In b/w Q and W these are 5 letters
In b/w W and Z these are 2 letter
w
In b/w Z and B these is 1 letter
w
Same case in BHKM and MSVX
But in WCGJ, these are 3 letters in between C and G.
Q. 7 Lights of four colors (red, blue, green, yellow) are hung on a ladder. On every
step of the ladder there are two lights. If one of the lights is red, the other light
on that step will always be blue. If one of the lights on a step is green, the other
light on that step will always be yellow. Which of the following statements is not
necessarily correct ?
(A) The number of red lights is equal to the number of blue lights
(B) The number of green lights is equal to the number of yellow lights
(C) The sum of the red and green lights is equal to the sum of the yellow and
blue lights
(D) The sum of the red and blue lights is equal to the sum of the green and yellow
lights
Sol. 7 Correct option is (D).
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GATE SOLVED PAPER - ME 2014-2
So no. of Red and Blue lights are same. Green and yellow lights have same
number. Sum of Red and green will be equal to sum of Blue and yellow lights
because they are on single side of ladder. So option (D) is correct, which is not
necessarily right.
Q. 8 The sum of eight consecutive odd numbers is 656. The average of four consecutive
even numbers is 87. What is the sum of the smallest odd number and second
largest even number ?
Sol. 8 Correct answer is 163.
So
m
Let first odd number be n
o
nS + n + 2 +
S
n + 14 = 656
.c 1 2
A BB
8
BC
s
8n + 56 = 656
ta 8n = 600
n = 75
a
So odd numbers 75, 77, 79, 81, 83, 85, 87.
d
il
Let first even number be m
iv
So average of 4 even numbers
S
m +m + 2+m + 4 +m + 6
A BB
B C A BBB C A BBBC
.C
1 2 3 4
= 87
4
w
4m + 12 = 87
4
w m = 84
w
So, 84, 86, 88, 90
Sum of smallest odd no and second largest even no. = 75 + 88 = 163 .
Q. 9 The total exports and revenues from the exports of a country are given in the two
charts shown below. The pie chart for exports shows the quantity of each item
exported as a percentage of the total quantity of exports. The pie chart for the
revenues shows the percentage of the total revenue generated through export of
each item. The total quantity of exports of all the items is 500 thousand tonnes
and the total revenues are 250 crore rupees. Which item among the following has
generated the maximum revenue per kg ?
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