1
GATE CE 2025 Set 2
MCQ (Single Correct Answer)
+2
-0.67

A business person buys potatoes of two different varieties $P$ and $Q$, mixes them in a certain ratio and sells them at ₹192 per kg.

The cost of the variety P is $Rs\,800$ for 5 kg .

The cost of the variety Q is $Rs\, 800$ for 4 kg .

If the person gets $8 \%$ profit, what is the $\mathrm{P}: Q$ ratio (by weight)?

A
$5: 4$
B
$3: 4$
C
$3: 2$
D
$1: 1$
2
GATE CE 2025 Set 2
MCQ (Single Correct Answer)
+2
-0.67

Three villages $P, Q$, and $R$ are located in such a way that the distance $P Q=13 \mathrm{~km}$, $Q R=14 \mathrm{~km}$, and $R P=15 \mathrm{~km}$, as shown in the figure. A straight road joins $Q$ and $R$. It is proposed to connect $P$ to this road $Q R$ by constructing another road. What is the minimum possible length (in km ) of this connecting road?

Note: The figure shown is representative.

GATE CE 2025 Set 2 General Aptitude - Numerical Ability Question 1 English

A
10.5
B
11.0
C
12.0
D
12.5
3
GATE CE 2025 Set 1
MCQ (Single Correct Answer)
+2
-0.67
Rohit goes to a restaurant for lunch at about 1 PM . When he enters the restaurant, he notices that the hour and minute hands on the wall clock are exactly coinciding. After about an hour, when he leaves the restaurant, he notices that the clock hands are again exactly coinciding. How much time (in minutes) did Rohit spend at the restaurant?
A
$64 \frac{6}{11}$
B
$66 \frac{5}{13}$
C
$65 \frac{5}{11}$
D
$66 \frac{6}{13}$
4
GATE CE 2025 Set 1
MCQ (Single Correct Answer)
+2
-0.67

A circle with center at $(x, y)=(0.5,0)$ and radius $=0.5$ intersects with another circle with center at $(x, \mathrm{y})=(1,1)$ and radius $=1$ at two points. One of the points of intersection $(x, \mathrm{y})$ is:

A
$(0,0)$
B
$(0.2,0.4)$
C
$(0.5,0.5)$
D
$(1,2)$
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