1
GATE ME 2024
MCQ (Single Correct Answer)
+1
-0.33

The real variables $x, y, z$, and the real constants $p, q, r$ satisfy

$\frac{x}{pq - r^2} = \frac{y}{qr - p^2} = \frac{z}{rp - q^2}$

Given that the denominators are non-zero, the value of $px + qy + rz$ is

A

0

B

1

C

pqr

D

$p^2 + q^2 + r^2$

2
GATE ME 2024
MCQ (Single Correct Answer)
+1
-0.33

Take two long dice (rectangular parallelepiped), each having four rectangular faces labelled as 2, 3, 5, and 7. If thrown, the long dice cannot land on the square faces and has 1/4 probability of landing on any of the four rectangular faces. The label on the top face of the dice is the score of the throw.

If thrown together, what is the probability of getting the sum of the two long dice scores greater than 11?

A

3/8

B

1/8

C

1/16

D

3/16

3
GATE ME 2019 Set 2
MCQ (Single Correct Answer)
+1
-0.33
The product of three integers X, Y and Z is 192. Z is equal to 4 and P is equal to the average of X and Y. What is the minimum possible value of P?
A
9.5
B
6
C
8
D
7
4
GATE ME 2019 Set 1
MCQ (Single Correct Answer)
+1
-0.33
The sum and product of two integers are 26 and 165 respectively. The difference between these two integers is ____.
A
2
B
3
C
4
D
6
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