JIPMAT 2023 (LR) - Match List – I and List- II and choose the correct answer from the options given below. | PYQs + Solutions

JIPMAT 2023

Logical Reasoning

Clocks & Calendar

Easy

Angle between hour hand and minute hand	Time
A. 105°	(I) 7:15
B. 45°	(II) 9:15
C. 127.5°	(III) 4:30
D. 187.5°	(IV) 2:30

Match List – I and List- II and choose the correct answer from the options given below.

A]- (IV), B]- (III), C]- (I), D]- (II)

A]- (I), B]- (II), C]- (III), D]- (IV)

A]- (II), B]- (I), C]- (III), D]– (IV)

A]- (III), B]- (IV), C]- (I), D]- (II)

Correct Option: 1

Absolute angle between hands of a clock is:

|30H - \frac{11}{2}M|

, where H is hours (1-12) and M is minutes (0-59)

Let's solve for each time:

1. 7:15

\newline

|30(7) - \frac{11}{2}(15)|

|210 - 82.5|

\newline

= 127.5°

→ matches C

2. 9:15

\newline

|30(9) - \frac{11}{2}(15)|

|270 - 82.5|

\newline

= 187.5°

→ matches D

3. 4:30

\newline

|30(4) - \frac{11}{2}(30)|

|120 - 165|

\newline

= 45°

→ matches B

4. 2:30

\newline

|30(2) - \frac{11}{2}(30)|

|60 - 165|

\newline

= 105°

→ matches A

Therefore:

\newline

(I) 7:15 pairs with C. 127.5°

\newline

(II) 9:15 pairs with D. 187.5°

\newline

(III) 4:30 pairs with B. 45°

\newline

(IV) 2:30 pairs with A. 105°