- 1. How many times in a day, are the hands of a clock in straight line but opposite in direction?

Options- A. 20
- B. 22
- C. 24
- D. 48

Correct Answer: 22

The hands of a clock point in opposite directions (in the same straight line) 11 times in every 12 hours. (Because between 5 and 7 they point in opposite directions at 6 o'clcok only).

So, in a day, the hands point in the opposite directions 22 times.

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

Options- A. 145
- B. 150
- C. 155
- D. 160

Correct Answer: 155

Angle traced by hour hand in 12 hrs = 360º.

Angle traced by hour hand in 5 hrs 10 min. *i.e., 31/6 hrs *=
${\left(\frac{360}{12}*\frac{31}{6}\right)}^{\xb0}$= 155º

- 3. A watch which gains uniformly is 2 minutes low at noon on Monday and is 4 min. 48 sec fast at 2 p.m. on the following Monday. When was it correct?

Options- A. 2 p.m. on Tuesday
- B. 2 p.m. on Wednesday
- C. 3 p.m. on Thursday
- D. 1 p.m. on Friday

Correct Answer: 2 p.m. on Wednesday

Time from 12 p.m. on Monday to 2 p.m. on the following Monday = 7 days 2 hours = 170 hours.

The Watch gains $\left(2+4\frac{4}{5}\right)$ min. or $\frac{34}{5}$ min.in 170 hrs.

Now, $\frac{34}{5}$min.are gained in 170 hrs.

2 min.are gained in $\left(170*\frac{5}{34}*2\right)$ hrs=50 hrs

Watch is correct 2 days 2 hrs. after 12 p.m. on Monday *i.e.,* it will be correct at 2 p.m. on Wednesday

- 4. At 3.40, the hour hand and the minute hand of a clock form an angle of:

Options- A. 120 degrees
- B. 125 degrees
- C. 130 degrees
- D. 135 degrees

Correct Answer: 130 degrees

Angle traced by hour hand in 12 hrs. = 360º.

Angle traced by it in 11/3 hrs= ${\left(\frac{360}{12}*\frac{11}{3}\right)}^{\xb0}$= ${110}^{\xb0}$

Angle traced by minute hand in 60 min. = 360º.

Angle traced by it in 40 min. =(360/60*40) ${\xb0}^{}$=240 ${\xb0}^{}$

Required angle (240 - 110)º = 130º.

- 5. What is two days after the day after the day before yesterday?

Correct Answer: Tomorrow The day before yesterday was two days ago; the day after the day before yesterday was yesterday; two days after that (yesterday) is tomorrow

- 6. How many minutes is it until six o?clock if fifty minutes ago it was four times as many minutes past three o?clock?

Correct Answer: Twenty-six minutes

- 7. Find at what time between 9 and 10 o?clock will the hands of a clock be in 180° ?

Options- A. 180/14 min past 10
- B. 180/11 min past 9
- C. 148/7 min past 10
- D. 154/11 min past 9

Correct Answer: 180/11 min past 9

At 9 o?clock, the hour hand is at 9 and the minutes hand is at 12, i.e., the two hands are 15 min. spaces apart.

So, the minute hand should gain = (30 - 15) minutes = 15 minutes

55 minutes will be gained in 60 min.

15 minutes spaces will be gained in ((60/55) x 15) min. = 180/11 min.

The hands will be in the same straight line but not together i.e.,in 180 degrees at 180/11 min. past 9.

- 8. Calculate the angle between the two hands of clock when the clock shows 4 : 20 p.m. ?

Options- A. 5 degrees
- B. 10 degrees
- C. 15 degrees
- D. 25 degrees

Correct Answer: 10 degrees

Since at 4 : 20 the minute hand will be at 4 and the angle between them will be same as the distance covered in degree by the hour hand in 20 minutes.

Required angle = distance of hour hand = speed × time = $\frac{1}{2}$× 20 =10 degrees.

- 9. 1 Billion Seconds Equals to

Options- A. 34.76 years
- B. 32.48 years
- C. 33.31 years
- D. 31.68 years

Correct Answer: 31.68 years

We know that 1 year = 365.25 days

1 day = 24 hours

1 hour = 60 minutes

1 minute = 60 seconds

**=> 1 Year = 365.25 x 24 x 60 x 60 Seconds**

But 1 billion seconds = ?

1 Year = 365.25 x 24 x 60 x 60 Seconds

** ? = 1000000000 Seconds**

**
$\mathbf{?}\mathbf{}\mathbf{=}\mathbf{}\frac{\mathbf{1000000000}}{\mathbf{365}\mathbf{.}\mathbf{25}\mathbf{}\mathbf{x}\mathbf{}\mathbf{24}\mathbf{}\mathbf{x}\mathbf{}\mathbf{60}\mathbf{}\mathbf{x}\mathbf{}\mathbf{60}}\mathbf{}\mathbf{years}$ = 31. 68 years.**

- 10. Minute hand overlaps hour hand in 65 mins. In how many days it will gain 1440 hours ?

Options- A. 57 days
- B. 58 days
- C. 60 days
- D. 61 days

Correct Answer: 60 days

In this problem , it has considered that 65 mins = 1hr

So mins has increased by 5 mins so multiply 5 x 24 = 120 mins extra ,

That is now per day it adds 2hr extra, so divide 1440/26 = 59.384 days =~ 60 days.

Copyright ©CuriousTab. All rights reserved.