Math, asked by kanakdhomne22, 8 months ago

please answer this question and I will mark you as brainlist ​

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Answered by sarkarharsh708
1

Answer:

12) (c) 195°

13) (a) 59⁷/₁₂ min past 3

14) (a) 32⁸/₁₂ mins

Step-by-step explanation:

12) A clock consists of places 1 - 12. Since it is circular, we can consider that while going from 12 to 12, a hand covers 360°, i.e. while going from any number to the next number, a hand covers 360÷12 = 30°.

At 10:25, the hour hand is between 10 and 11 and the minute hand is at 5. The angle between 11 and 5 is 30×6=180° and since the hour hand is between 10 and 12, we have to add half the angle between 10 and 11, i.e. 15°

=> the angle subtended by the hour and minute hand = 195°

since 195° is reflex, (c) is the answer.

13) The watch gains 5s in 3mins and was set right at 7am.

It is showing quarter past 4 in the watch, i.e. 4:15pm.

=> 9hrs 15mins have passed in the watch

=> 9×60+15 = 555mins have passed

since the watch gains 5s in 3mins, in 555mins it gains 555÷3×5 = 185×5 = 925s have passed

925s = 925/60 = 15⁵/₁₂ mins

thus, 15⁵/₁₂ extra time has passed

=> real time is 15⁵/₁₂mins before 4:15pm

=> real time = 3:59⁷/₁₂ = 59⁷/₁₂ mins past 3 = (a)

14) The hands of a clock coincide 22 times a day.

=> in this clock, the total duration of a day = 64×22 = 1408mins

but a day has 24×60 = 1440 mins

therefore it has 1440-1408 = 32 mins less

32 mins is an approximation, so the answer might be closest one, i.e. (a)

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