The dial shown above is divided into equal-sized intervals. At which

We have 8 Intervals bit 1174 is not divisible by 8: the nearest number divisble by 8 is 1168 and we are left with 6 as a remainder -> Answer (E)

We are given a diagram with 8 intervals of equal length. Let’s start by sketching the diagram.



Notice we also assigned a number to each letter marking between the intervals. Begin with S = 0 and moving clockwise, we have A = 2, B = 3, C = 4, D = 5 and E = 6.

Let's first study the pattern of the spinner's movement. If the spinner were to go through just 8 intervals, it would stop where it started, at letter S. If, instead, it were to go through 10 intervals, it would go all the way around the circle one time (8 intervals) plus 2 more, stopping at letter A. One more example: if it were to go through 35 intervals it would make four complete revolutions, plus 3 more intervals, stopping at letter B. We can see that if we divide the total number of intervals it travels by 8, the whole number part of the quotient will be the number of revolutions it has made, and the remainder will tell us how many "extra" intervals it has gone past S before stopping.

Therefore, to determine at which letter the pointer will stop when it is rotated clockwise 1,174 intervals, we need to divide 1,174 by 8.

1,174/8 = 146 R 6.

The 146 indicates that the spinner has gone through 146 complete revolutions. The remainder 6 indicates that the spinner has stopped 6 intervals past S, which is location E.

Answer: E
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One complete rotation starting from S contains 8 equally spaced intervals
Position at which Pointer will stop will be Remainder of 1174/8 i.e 6
The pointer will stop at E

Answer E
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IMO E.

On dividing by 8, the remainder is 6 which brings the pointer to E.

My solution:

As there are 8 intervals we can divide 1174 by 8,

we get 146 as quotient and 6 as remainder. Therefore, 146th interval will be the point S, then count 6 more and we will reach at point E.

Answer choice E
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My solution:

divide 1174 by 2 we get 587; now divide 587 by 4 we get 3 as a reminder. I'm counting 4 intervals as A(12 o clock), 3 o clock, 6 o clock and 9 o clock. So with 3 as the reminder needle will stop at 9 o clock.
Hence at E it will stop. E is the solution.

Attached is a visual that should help.

Great Official Question.
Here is what i did in this one =>
1174 rotations
Since there are 8 intervals => 1174=> 8k+6
so after 1168 rotations the pointer will be back at S
and we just have to now rotate it 6 more times clockwise=>
It will land up at E

Hence E
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I am still not able to understand the logic. please help!

[1] Divide 1,174 by Number of Intervals

# Intervals = 8

\(1,174 \div 8 = 146 R 6\)

[2] Use Remainder to Count Number of Intervals for Final Rotation

Since the remainder is 6, count 6 intervals around the circle.

Answer E.

Divide it by 8 and check the reminder, the remainder will be the answer in clockeise direction from start.

Posted from my mobile device

This question is simply asking us to find out the remainder when 1174 is divided by 8. If we notice carefully, the clock is divided into 8 intervals. Therefore, the pointer stops at 'S' every 8 intervals. Hence, all we need to do is find out how many more intervals will the pointer go after it shifts 146 intervals.

\( \frac{1174}{8} \) leaves a quotient of 146 and a remainder of 6.

This means, that the pointer strikes S in the 146th interval then moves 6 intervals more to complete the rotation through 1174 intervals.

Answer : E

Correct Option E
1174 Cycle / 8 equal parts = 146 Cycle + 6 Reminder, and 6 position is allocated to option E

Instead of doing the actual division to find out the reminder, can we just not apply the "units digits" theory as:

1174 -> 4 ( units digits) -> the 2nd power so 4,6,4,6,4,6,4,6,4 etc... . Because its divided by 8 -> We count to 8, which gives us de reminder of 6 ...

Is this approach correct?

thank you

Bunuel
Why can't we reduce 1174/8 to its lowest form i.e. 587/4 and then find remainder = 3 ?
What is wrong in my approach?

When we divide 1174/8 Remainder is 6

But when we divide 587/4 remainder is 3 why?

Posted from my mobile device

Let point S be the starting point.
Since the pointer travelled 1174 intervals, it must be on point S at the completion of 1168 intervals(since 1168 is divided by 8).
Now@, after travelling E intervals from S, the pointer will reach point E.
Thus, the correct option will be E.

Video solution from Quant Reasoning:
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Am I the only one who assumed A,B,C,D,E= 5 equal spaced intervals :/