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GATE 2020: Topper's Weekly Quiz-2 (App update required to attempt this test)
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Question 1
There would be a 12% loss, if sugar is sold at Rs. 44 per kg. To earn a profit of 24%, the price of sugar per kg will be
Question 2
Rs. 2560 was divided among A, B and C in a ratio of 4:9:3 respectively. B alone got how much more than A and C together?
Question 3
A fair coin is tossed repeatedly till both head and tail appear at least once. The average number of tosses required will be
Question 4
A tiger is 50 leaps of its own behind a deer. The tiger takes 5 leaps per minute to the deer’s 4. If the tiger and the deer cover 8 meters and 5 meters per leap respectively. What distance in metres will be tiger have to run before it catches the deer?
Question 5
To do a work, the ratio of efficiency of A to that of B is 7 : 3. Working together, they can finish the work in 10½ days. They work together for 6 days. 70% of the remaining work will be completed by A alone in:
Question 6
Consider the complex valued function 
where z is a complex variable. The value of b for which the function f(z) is analytic is
where z is a complex variable. The value of b for which the function f(z) is analytic isQuestion 7
Find the value of integral 
.
.Question 8
A man does thrice the work done by a boy in a same time. The number of days that 5 men and 6 boys will take to finish a work which can be done by 12 men in 5 days is
Question 9
A tangent is drawn from the point (–2, 0) to parabola y2 = 8x which meets the parabola in first quadrant. The coordinates of point of contact is
Question 10
A,B,C,D,E,F,G and H were born on the same date of different months,-January, February, March, April, May, June, July and August.
A was born in a month of less than 30 days.Only two persons were born between A and B. B was born immediately before D. Only one person was born between F and C. C was born immediately after A . E was born in a month of 31 days ,but not in August.
Who among the following was born immediately before G?
Question 11
A shooter P hits the target with probability of 
but is allowed only one shot whereas the shooter Q hits with probability of
but takes two shots. A shooter R hits with probability of 
and is allowed five shots. In a competition, it is probable that
but is allowed only one shot whereas the shooter Q hits with probability of but takes two shots. A shooter R hits with probability of and is allowed five shots. In a competition, it is probable that Question 12
In ΔABC, AD is a median and G is a point on AD such that AG : GD = 3 : 4. Then ar(ΔBGD) : ar(ΔABC) is equal to:
Question 13
Let 
for some a, b ∈ R. Suppose that 1 and 2 are eigen values of A and
for some a, b ∈ R. Suppose that 1 and 2 are eigen values of A and Question 14
equation of the tangent plane to the surface 2xz2 – 3xy – 4x = 7 at the point ( 1, -1, 2 )
Question 15
Given that f(y) = |y|/y, the q is any non-zero real number, the value of |f(q)– f(–q)| is
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ESE & GATE ECGeneralDec 21ESE & GATE EC
