Grand GATE Mock Test

Let r be a root of the equation 𝑥^2+ 2𝑥 + 6 = 0.

Then the value of the expression (𝑟 + 2)(𝑟 + 3)(𝑟 + 4)(𝑟 + 5) is

• 51

• -51

• 126

• -126

Select the word that fits the analogy:

Cook : Cook :: Fly : _______

• • Flyer

• • Flying

• • Flew

• • Flighter

Given below are four statements.
Statement 1: All students are inquisitive.
Statement 2: Some students are inquisitive.
Statement 3: No student is inquisitive.
Statement 4: Some students are not inquisitive.

From the given four statements, find the two statements that CANNOT BE TRUE simultaneously, assuming that there is at least one student in the class.

• Statement 1 and Statement 3

• Statement 1 and Statement 2

• Statement 2 and Statement 4

• Statement 2 and Statement 4

Raman is confident of speaking English _______ six months as he has been practising regularly _______ the last three weeks.

• during, for

• for, since

• for, in

• within, for

In a recently conducted national entrance test, boys constituted 65% of those who

appeared for the test. Girls constituted the remaining candidates and they

accounted for 60% of the qualified candidates.

Which one of the following is the correct logical inference based on the

information provided in the above passage?

• Equal number of boys and girls qualified

• Equal number of boys and girls appeared for the test

• The number of boys who appeared for the test is less than the number of girls

  who appeared

• The number of boys who qualified the test is less than the number of girls who

  qualified

A series of natural numbers F1,F2,F3,F4,F5,F6,F7 obeys Fn+1=Fn+Fn-1 for all integers n>=2.

If F6=37 and F7=60 Then what is the value of F1?

• 4

• 5

• 6

• 7

A box contains five balls of same size and shape. Three of them are green coloured balls and two of them are orange coloured balls. Balls are drawn from the box one at a time. If a green ball is drawn, it is not replaced. If an orange ball is drawn, it is replaced with another orange ball. First ball is drawn. What is the probability of getting an orange ball in the next draw?

• 1/2

• 8/25

• 19/50

• 23/50

In the given diagram, teachers are represented in the triangle, researchers in the circle and administrators in the rectangle. Out of the total number of the people, the percentage of administrators shall be in the range of _________ .

• • 0 to 15

• • 16 to 30

• • 31 to 45

• • 46 to 60

If values of P=3, R=27, T=243, then find the value of Q+S =

• 40

• 80

• 90

• 180

The total revenue of a company during 2014−2018 is shown in the bar graph. If the total expenditure of the company in each year is 500 million rupees, then the aggregate profit or loss (in percentage) on the total expenditure of the company during 2014−2018 is _________ .

• 16.67% profit

• 16.67% loss

• 20% profit

• 20% loss