能力倾向 - 时钟在线测验

以下测验提供与时钟相关的选择题 (MCQ)。您需要阅读所有给出的答案，然后点击正确的答案。如果您不确定答案，可以使用显示答案按钮查看答案。您可以使用下一题按钮查看测验中的新一组问题。

Q 1 - 在 2 点到 3 点之间，时钟的时针和分针何时重合？

答案：A

解释

At 2 o' clock, the hour hand is at 2 and minute hand is at 12
i.e. they are 10 min spaces apart.
The minute hand has to gain 10 minute spaces
over the hour hand to be together.

The minute hand gains 55 mins in 60 mins.
∴ It will gain 10 mins in 60/55 * 10 min
= 120/11 minutes.

Hence the hands will coincide at 120/11 minutes past 2.

Q 2 - 在 4 点到 5 点之间，时钟的时针和分针何时成直角？

答案：B

解释

At 4 o' clock, the minute hand is 20 minute spaces behind the hour hand.
Now, when the two hands are at right angles, they are fifteen min spaces
apart. So, they are at right angles in following two cases.

Case I ? When the minute hand is 15 min spaces behind the hour hand.
In this case, min hand will have to gain (20-15) = 5 min spaces.
= (60/55)*5 = 60/11
∴ They are at right angle at 60/11 minutes past 4.
Case II ? When the minute hand is 15 minute spaces ahead of the hour hand.
In this case the minute hand will have to gain (20+15) = 35 min spaces.
= (60/55)*35 = 420/11 min
∴ They are at right angles at 420/11 min
past 4.

Q 3 - 5 点 15 分时，时钟的两根指针之间的角度是多少？

答案：C

解释

At 15 minutes past 5 o' clock, the minute hand is at 3
and hour hand is slightly ahead of 5.

In 60 minutes, the hour hand moves ahead by 300
∴ In 15 minutes, the hour hand moves ahead by = (30/60)*15
= 7.5°

Angle between 3 and 5 hour spaces = 60°.
∴ The total angle between the two hands at
 15 minutes past 5 o' clock = 60 + 7.5 = 67.5°

Q 4 - 一个钟表在早上设定为正确时间。该钟表在 24 小时内快走 10 分钟。当该钟表显示第二天晚上 1 点时，实际时间是多少？

答案：B

解释

Time from 8 Am on a day to 1p.m on the accompanying day= 29 hrs.
24 hours 10 min. of this clock = 24 hrs. Of the right clock.
145/6 hrs. of this clock= 24 hrs of the right clock.
29 hrs. of this clock = (24*6/145*29)hrs of the right clock.
= 28 hrs 48 min. of right clock.
∴The right time is 28 hrs 48 min. after 8 am
This is 48 min. past. 12.

Q 5 - 一个钟表在 12 点开始计时。在 5 点 10 分时，时针旋转了多少角度？

答案：C

解释

Angle followed by hour hand in 12 hrs =360°
Point followed by hour hand in 5 hrs 10 min.
=31/6 = (360/12*31/6)°= 155°

Q 6 - 当时间是 8 点 30 分时，时钟的时针和分针之间的夹角是多少？

答案：B

解释

Angle followed by hour hand in 17/2hrs= (360/12*17/2)°= 255°
Point followed by min. hand in 30 min. = (360/60*30)°= 180°
∴ Required Angle = (255-180)°=75°

Q 7 - 一天中，时钟的指针有多少次成一直线？

答案：C

解释

In 12 hours, the hands concur or are in inverse heading 22 times.
∴ In 24 hours, the hands concur or are
in inverse heading 44 Times each day.

Q 8 - 一天中，时钟的指针有多少次成一直线且方向相反？

答案：A

解释

The hands of a check point in inverse headings 11 times in every 12 Hours.
(since somewhere around 5 and 7 they point in inverse headings at 6 o'clock just)
So in a day, the hands point in the inverse headings 22 times.

Q 9 - 在 9 点到 10 点之间，时钟的时针和分针何时重合？

答案：C

解释

To be as one somewhere around 9 and 10 o'clock,
the moment hand needs to pick up 45 min. spaces.
55 min. space are picked up in 60 min.
45 min. space are picked up in (60/55*45) min. or 540/11 min.
∴ The hands are as one at 540/11 min. past 9.

Q 10 - 一个手表每 3 分钟快走 5 秒。该手表在早上设定为正确时间。在当天下午，当手表显示 4 点 15 分时，实际时间是多少？

答案：B

解释

Time structure 7 a.m. to 4.15 p.m.=9 hrs 15 min=37/4 hrs.
3 min. 5 sec. of this clock=3 min of the right clock.
=> 37/720hrs of this clock =1/2 hrs of the right clock
=> 37/4 hrs of this clock =(1/20*720/37*37/4)hrs of right clock
= 9hrs of the right clock
∴ The right time is 9 hrs after 7 a.m. i.e. 4 p.m.

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