Job Roles Questions and Answers

Q:

A watch which gains 5 seconds in 3 minutes was set right at 7 a.m. In the afternoon of the same day, when the watch indicated quarter past 4 o'clock, the true time is:

A) 4pm	B) 5pm
C) 6pm	D) 7pm

Answer & Explanation Answer: A) 4pm

Explanation:

Time from 7 am to 4.15 pm = 9 hrs 15 min = $\frac{37}{4}$ hrs

3 min. 5 sec. of this clock = 3 min. of the correct clock.

Now 3min.5sec. is $\frac{37}{720}$ hrs of this clock = 3 min.is $\frac{1}{20}$ hrs of the correct clock

$\frac{37}{4}$ hrs of clock = $(\frac{1}{20} \times \frac{720}{37} \times \frac{37}{4})$ hrs of the correct clock.

= 9 hrs of the correct clock.

$\therefore$ The correct time is 9 hrs after 7 am. i.e., 4 pm.

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Filed Under: Clocks
Exam Prep: Bank Exams
Job Role: Bank PO

89 27135

Q:

A clock is started at noon. By 10 minutes past 5, the hour hand has turned through

A) 145	B) 155
C) 165	D) 175

Answer & Explanation Answer: B) 155

Explanation:

Angle traced by hour hand in 12 hrs = 360º

Angle traced by hour hand in 5 hrs 10 min. i.e $\frac{31}{6}$ hrs = ${(\frac{360}{12} \times \frac{31}{6})}^{0}$ = $155^{0}$

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Filed Under: Clocks
Exam Prep: Bank Exams
Job Role: Bank PO

10 7386

Q:

The reflex angle between the hands of a clock at 10.25 is

A) 197 1/2	B) 167 1/2
C) 157 1/2	D) 187 1/2

Answer & Explanation Answer: A) 197 1/2

Explanation:

Angle traced by hour hand in 125/12 hrs = (360/12 * 125/12) = $312 \frac{1^{0}}{2}$

Angle traced by minute hand in 25 min = (360/60 * 25) = $150^{0}$

$\therefore$ Reflex angle = $360^{0} - {(312 \frac{1}{2} - 150)}^{0} = 360^{0} - 162 \frac{1^{0}}{2} = 197 \frac{1^{0}}{2}$

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Filed Under: Clocks
Exam Prep: Bank Exams
Job Role: Bank PO

65 30531

Q:

A watch which gains uniformly ,is 5 min,slow at 8 o'clock in the morning on sunday and it is 5 min 48 sec.fast at 8 p.m on following sunday. when was it correct?

A) 7pm on wednesday	B) 20 min past 7pm on wednesday
C) 15min past 7pm on wednesday	D) 8pm on wednesday

Answer & Explanation Answer: B) 20 min past 7pm on wednesday

Explanation:

This sunday morning at 8:00 AM, the watch is 5 min. Slow, and the next sunday at 8:00PM it becomes 5 min 48 sec fast. The watch gains $5 + 5 \frac{48}{60}$ min in a time of (7×24)+12 = 180 hours.

To show the correct time, it has to gain 5 min.

$\frac{54}{5} m i n \to 180 h o u r s$

5min ->

$(\frac{5}{\frac{54}{2}} \times 180)$

$83 \frac{1}{3} h r s = 72 h r s + 11 \frac{1}{3} h r s = 3 d a y s + 11 h r s + 20 m i n$

So the correct time will be shown on wednesday at 7:20 PM

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Filed Under: Clocks
Exam Prep: Bank Exams
Job Role: Bank PO

227 65455

Q:

At what time between 5 and 6 o' clock are the hands of a 3 minutes apart ?

A) 24min	B) 12min
C) 13min	D) 14min

Answer & Explanation Answer: A) 24min

Explanation:

In this type of problems the formuae is
(5*x+ or - t)*12/11
Here x is replaced by the first interval of given time. Here x is 5.
t is spaces apart

Case 1 : (5*x + t) * 12/11

(5*5 + 3) * 12/11

28 * 12/11 = 336/11= $31 \frac{5}{11}$ min

therefore the hands will be 3 min apart at 31 5/11 min past 5.

Case 2 : (5*x - t) * 12/11

(5*5 -3 ) * 12/11

22 *12/11 = 24 min

therefore the hands will be 3 min apart at 24 min past 5

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Filed Under: Clocks
Exam Prep: Bank Exams
Job Role: Bank PO

197 82043

Q:

Find at what time between 8 and 9 o'clock will the hands of a clock be in the same straight line but not together ?

A) 100/11 min past 8	B) 120/11 min past 8
C) 90/11 min past 8	D) 80/11 min past 8

Answer & Explanation Answer: B) 120/11 min past 8

Explanation:

In this type of problems the formulae is $(5 x - 30) \times \frac{12}{11}$
x is replaced by the first interval of given time Here i.e 8
$(5 * 8 - 30) * \frac{12}{11}$
= $\frac{120}{11}$ min

Therefore the hands will be in the same straight line but not
together at $\frac{120}{11}$ min.past 8.

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Filed Under: Clocks
Exam Prep: Bank Exams
Job Role: Bank PO

96 64012

Q:

What time between 4 and 5 o'clock will the hands of a clock be at rightangle?

A) 3 5/11	B) 4 5/11
C) 5 5/11	D) 6 5/11

Answer & Explanation Answer: C) 5 5/11

Explanation:

this type of problems the formulae is
(5*x + or -15)*(12/11)
Here x is replaced by the first interval of given time
here i.e 4
Case 1 : (5*x + 15)*(12/11)
(5*4 +15)*(12/11)
(20+15)*(12/11)
35*12/11=420/11=38 2/11 min.
Therefore they are right angles at 38 2/11 min .past4
Case 2 : (5*x-15)*(12/11)
(5*4-15)*(12/11)
(20-15)*(12/11)
5*12/11=60/11 min=5 5/11min
Therefore they are right angles at 5 5/11 min.past4.

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Filed Under: Clocks
Exam Prep: Bank Exams
Job Role: Bank PO

48 32227

Q:

When the hands are in the opposite directions,they are ------- minute spaces apart,

A) 15	B) 30
C) 60	D) 0

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