Explanation:
Harsh plays hockey every 4th day and squash every 6th day. The least common multiple (LCM) of 4 and 6 is 12. So, Harsh will play both hockey and squash every 12 days. Since he played both games on 16th June, the next date when he will play both games is 16 + 12 = 28th June.
Explanation:
When you look at a reflection in a mirror, the hour and minute hands appear to be switched. So, if the mirror shows 4:35, it means that the actual time is 7:25.
Explanation:
To find numbers divisible by 4, 9, 6, and 5 nearest to 9000, we need to find the least common multiple (LCM) of these numbers, which is 180.
The nearest numbers divisible by 180 around 9000 are 9000 and 9180.
Explanation:
To find the total number of people standing in the row, we'll add Aman's position from the left and the right and then subtract 1 because Aman is counted twice in the sum.
So, 12+16−1=27
Explanation:
The least common multiple (LCM) of 4 minutes and 3½ minutes is 7 minutes. Adding 7 minutes to 2:00 PM gives us 2:07 PM. Since 2:07 PM is not an option, the next time after 2:07 PM is 2:14 PM, but since the light flashes together at noon, the next time they flash together is 2:20 PM.
Explanation:
Sarika's uncle's daughter is her cousin. The man singing on the stage is stated to be the brother of Sarika's cousin, so he is also Sarika's cousin.
Explanation:
Let the numbers be x and y. We have two equations: xy = 108 and x - y = 23. Solving these equations gives us x = 27 and y = 4.
Explanation:
The least common multiple (LCM) of 40 minutes and 35 minutes is 280 minutes. This is when they will meet again at the start point.
Explanation:
Ria is 6th from the left and 20th from the right. To find the total number of people standing in the row, we add Ria's position from the left and the right, and then subtract 1 because Ria is counted twice in the sum.
So, 6 + 20 − 1 = 25
Explanation:
To find the least number of square stones required, divide the area of the rectangular courtyard by the area of one square stone. The dimensions of the courtyard are 325 cm by 235 cm, so its area is 76,375 square centimeters. Assuming each stone is x cm by x cm, we want to maximize x. The greatest common divisor (GCD) of 325 and 235 is 5, so each stone is 5 cm by 5 cm, covering 25 square centimeters. Dividing the area of the courtyard by the area of one stone gives us 3,055 stones.
Explanation:
Divya plays squash every 3rd day and football every 4th day. The next date when she plays both games will be the least common multiple (LCM) of 3 and 4, which is 12. Adding 12 days to April 4th, we get April 16th, when Divya will play both squash and football again.
