1
GATE ME 2026
MCQ (Single Correct Answer)
+2
-0

The table lists the unit selling price of five products $P, Q, R, S$, and $T$. On a particular day, 250 items were sold with the average selling price of Rs. 60. The following observations were made:

(i) The quantity of S sold was twice that of T .

(ii) The quantity of R sold was thrice that of T .

(iii) The quantity of $Q$ sold was four times that of $T$.

$$ \begin{array}{|c|c|c|c|c|c|} \hline \text { Product } & \text { P } & \text { Q } & \text { R } & \text { S } & \text { T } \\ \hline \text { Unit selling price(Rs.) } & 100 & 50 & 40 & 60 & 60 \\ \hline \end{array} $$

What is the quantity of product $P$ sold on that day?

A

40

B

50

C

60

D

70

2
GATE ME 2026
MCQ (Single Correct Answer)
+2
-0

Consider a string P of length $l$ that is laid out as a straight-line segment. Another string K is laid out as a semicircular arc with string P as its diameter, as represented in Figure (i). When both the strings are shortened by a length $x$ they can be re-arranged such that the shortened string K forms a full circle with the shortened string P as its diameter, as represented in Figure (ii). The value of $x / l$ is $\_\_\_\_$

A

$\pi$

B

$\frac{\pi-1}{2 \pi}$

C

$\frac{\pi}{2(\pi-1)}$

D

$\frac{\pi}{\pi-1}$

3
GATE ME 2025
MCQ (Single Correct Answer)
+2
-0.67
A final year student appears for placement interview in two companies, $S$ and $T$. Based on her interview performance, she estimates the probability of receiving job offers from companies $S$ and $T$ to be 0.8 and 0.6 , respectively. Let $p$ be the probability that she receives job offers from both the companies. Select the most appropriate option.
A
$0 \leq p \leq 0.2$
B
$0.4 \leq p \leq 0.6$
C
$0.4 \leq p \leq 0.4$
D
$0.6 \leq p \leq 1.0$
4
GATE ME 2024
MCQ (Single Correct Answer)
+2
-1.33

How many combinations of non-null sets A, B, C are possible from the subsets of {2, 3, 5} satisfying the conditions: (i) A is a subset of B, and (ii) B is a subset of C?

A

28

B

27

C

18

D

19

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Turbo Machinery