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## Marks 1

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Consider the following square with the four corners and the center marked as P, Q, R, S and T respectively. Let X, Y an...
GATE ECE 2022
Four points P(0, 1), Q(0, $$-$$3), R($$-$$2, $$-$$1), and S(2, $$-$$1) represent the vertices of a quadrilateral. What i...
GATE ECE 2022
Consider the following inequalities. (i) 2x $$-$$ 1 > 7 (ii) 2x $$-$$ 9 Which one of the following expressions below sa...
GATE ECE 2022
The figure shows a grid formed by a collection of unit squares. The unshaded unit square in the grid represents a hole. ...
GATE ECE 2022
A trapezium has vertices marked as P, Q, R and S (in that order anticlockwise). The side PQ is parallel to side SR. Furt...
GATE ECE 2022
A sum of money is to be distributed among P, Q, R, and S in the proportion 5 : 2 : 4 : 3, respectively. If R gets Rs. 10...
GATE ECE 2022
The current population of a city is 11,02,500. If it has been increasing at the rate of 5% per annum, what was its popul...
GATE ECE 2021
p and q are positive integers and $${p \over q} + {q \over p} = 3$$, then $${{{p^2}} \over {{q^2}}} + {{{q^2}} \over {{p... GATE ECE 2021 It would take one machine 4 hours to complete a production order and another machine 2 hours to complete the same order.... GATE ECE 2019 Five different books (P, Q, R, S, T) are to be arranged on a shelf. The books R and S are to be arranged first and secon... GATE ECE 2019 What is the value of$$1 + {1 \over 4} + {1 \over {16}} + {1 \over {64}} + {1 \over {256}} + ......$$? GATE ECE 2018 A 1.5 m tall person is standing at a distance of 3 m from a lamp post. The light from the lamp at the top of the post ca... GATE ECE 2018 If the number 715 ■ 423 is divisible by 3 (■ denotes the missing digit in the thousandths place), then the smallest whol... GATE ECE 2018 Fatima starts from point P, goes North for 3 km, and then East for 4 km to reach point Q. She then turns to face point P... GATE ECE 2017 Set 2 500 students are taking one or more courses out of Chemistry, Physics, and Mathematics. Registration records indicate co... GATE ECE 2017 Set 2 Some tables are shelves. Some shelves are chairs. All chairs are benches. Which of the following conclusions can be dedu... GATE ECE 2017 Set 1 A rule states that in order to drink beer one must be over 18 years old. In a bar, there are 4 people. P is 16 years old... GATE ECE 2017 Set 2 In the summer, water consumption is known to decrease overall by 25%. A water Board official states that in the summer h... GATE ECE 2017 Set 1 40% of deaths on city roads may be attributed to drunken driving. The number of degrees needed to represent this as a sl... GATE ECE 2017 Set 1 It takes 10 s and 15 s, respectively, for two trains traveling at different constant speeds to completely pass a telegra... GATE ECE 2016 Set 3 S, M, E and F are working in shifts in a team to finish a project. M works with twice the efficiency of others but for h... GATE ECE 2016 Set 2 Given (9 inches)1/2 = (0.25 yards)1/2, which one of the following statements is TRUE? GATE ECE 2016 Set 2 The number that least fits this set: (324, 441, 97 and 64) is ________. GATE ECE 2016 Set 3 Michael lives 10 km away from where I live. Ahmed lives 5 km away and Susan lives 7 km away from where I live. Arun is f... GATE ECE 2016 Set 1 In a huge pile of apples and oranges, both ripe and unripe mixed together, 15% are unripe fruits. Of the unripe fruits, ... GATE ECE 2016 Set 1 Ram and Ramesh appeared in an interview for two vacancies in the same department. The probability of Ram’s selection is ... GATE ECE 2015 Set 2 Operators$$\square$$,◊,$$\rightarrow$$are defined by : a$$\square$$b =$$\frac{a-b}{a+b}$$; a ◊ b =$$\frac{a+b}{a-b...
GATE ECE 2015 Set 1
If x&gt;y&gt;1, which of the following must be true? $$\begin{array}{l}\mathrm i.\;\ln\left(\mathrm x\right)&gt;\ln\lef... GATE ECE 2015 Set 3 Find the missing sequence in the letter series below: A, CD, GHI, ? , UVWXY GATE ECE 2015 Set 3 If$$\log_x\left(\frac57\right)=\frac{-1}3, then the value of x is
GATE ECE 2015 Set 1
In the summer of 2012, in New Delhi, the mean temperature of Monday to Wednesday was 41ºC and of Tuesday to Thursday was...
GATE ECE 2013
If (1.001)1259 = 3.52 and (1.001)2062 = 7.85, then (1.001)3321 =
GATE ECE 2012
There are two candidates P and Q in an election. During the campaign, 40% of the voters promised to vote for P, and rest...
GATE ECE 2011
25 persons are in a room. 15 of them play hockey, 17 of them play football and 10 of them play both hockey and football....
GATE ECE 2010

## Marks 2

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The number of minutes spent by two students, X and Y, excercising every day in a given week are shown in the bar chart a...
GATE ECE 2021
Consider a square sheet of side 1 unit. In the first step, it is cut along the main diagonal to get two triangles. In th...
GATE ECE 2021
Corners are cut from an equilateral triangle to produce a regular convex hexagon as shown in the figure above.The ratio...
GATE ECE 2021
Five people P, Q, R, S and T work in a bank. P and Q don’t like each other but have to share an office till T gets a pro...
GATE ECE 2019
The bar graph in Panel (a) shows the proportion of male and female illiterates in 2001 and 2011. The proportions of male...
GATE ECE 2019
Two design consultants, P and Q, started working from 8 AM for a client. The client budgeted a total of USD 3000 for the...
GATE ECE 2019
A cab was involved in a hit and run accident at night. You are given the following data about the cabs in the city and t...
GATE ECE 2018
Leila aspires to buy a car worth Rs. 10,00,000 after 5 years. What is the minimum amount in Rupees that she should depos...
GATE ECE 2018
Two alloys A and B contain gold and copper in the ratios of 2 : 3 and 3 : 7 by mass, respectively. Equal masses of alloy...
GATE ECE 2018
Trucks (10 m long) and cars (5 m long) go on a single lane bridge. There must be a gap of at least 20 m after each truck...
GATE ECE 2017 Set 1
A contour line joins locations having the same height above the mean sea level. The following is a contour plot of a geo...
GATE ECE 2017 Set 1
There are 3 Indians and 3 Chinese in a group of 6 people. How many subgroups of this group can we choose so that every s...
GATE ECE 2017 Set 1
S, T, U, V, W, X, Y and Z are seated around a circular table. T's neighbors are Y and V. Z is seated third to the left o...
GATE ECE 2017 Set 1
A contour line joins locations having the same height above the mean sea level. The following is a contour plot of a geo...
GATE ECE 2017 Set 2
1200 men and 500 women can build a bridge in 2 weeks. 900 men and 250 women will take 3 weeks to build the same bridge. ...
GATE ECE 2017 Set 2
The number of 3 digit numbers such that the digit 1 is never to the immediate right of 2 is
GATE ECE 2017 Set 2
Each of P, Q, R, S, W, X, Y and Z has been married at most once. X and Y married and have two children P and Q, Z is gra...
GATE ECE 2017 Set 2
You are given three coins: one has heads on both faces, the second has tails on both faces, and the third has a head on ...
GATE ECE 2014 Set 1
The exports and imports (in crores of Rs.) of a country from 2000 to 2007 are given in the following bar chart. If the t...
GATE ECE 2014 Set 1
A train that is 280 meters long, traveling at a uniform speed, crosses a platform in 60 seconds and passes a man standin...
GATE ECE 2014 Set 1
For submitting tax returns, all resident males with annual income below Rs 10 lakh should fill up Form P and all residen...
GATE ECE 2014 Set 1
Find the odd one from the following group: W,E,K,O I,Q,W,A F,N,T,X N,V,B,D
GATE ECE 2014 Set 1
What is the chance that a leap year, selected at random, will contain 53 Sundays?
GATE ECE 2013
Find the sum to n terms of the series 10 + 84 + 734 +.........
GATE ECE 2013
The set of values of p for which the roots of the equation 3x2 + 2x + p(p - 1) = 0 are of opposite sign is
GATE ECE 2013
A car travels 8 km in the first quarter of an hour, 6 km in the second quarter and 16 km in the third quarter. The avera...
GATE ECE 2013
One of the legacies of the Roman legions was discipline. In the legions, military law prevailed and discipline was bruta...
GATE ECE 2012
There are eight bags of rice looking alike, seven of which have equal weight and one is slightly heavier. The weighing b...
GATE ECE 2012
A and B are friends. They decide to meet between 1 PM and 2 PM on a given day. There is a condition that whoever arrives...
GATE ECE 2012
The data given in the following table summarizes the monthly budget of an average household. The approximate percentage...
GATE ECE 2012
Raju has 14 currency notes in his pocket consisting of only Rs. 20 notes and Rs. 10 notes. The total money value of the ...
GATE ECE 2012
The fuel consumed by a motorcycle during a journey while traveling at various speeds is indicated in the graph below. ...
GATE ECE 2011
The sum of n terms of the series 4 + 44 + 444 +.... is
GATE ECE 2011
The horse has played a little known but very important role in the field of medicine. Horses were injected with toxins o...
GATE ECE 2011
Given that f(y) = |y| / y, and q is any non-zero real number, the value of | f(q) - f(-q) | is
GATE ECE 2011
Three friends, R, S and T shared toffee from a bowl. R took 1/3rd of the toffees, but returned four to the bowl. S took ...
GATE ECE 2011
Given digits 2,2,3,3,3,4,4,4,4 how many distinct 4 digit numbers greater than 3000 can be formed?
GATE ECE 2010
Modern warfare has changed from large scale clashes of armies to suppression of civilian populations. Chemical agents th...
GATE ECE 2010
5 skilled workers can build a wall in 20 days; 8 semi-skilled workers can build a wall in 25 days; 10 unskilled workers ...
GATE ECE 2010
If 137+276=435 how much is 731+672?
GATE ECE 2010
Hari (H), Gita (G), Irfan (I) and Saira (S) are siblings (i.e. brothers and sisters). All were born on 1st January. The ...
GATE ECE 2010

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