Challenge Prelims V1.0 – Day 15 – CSAT Paper

1. There are three traffic signals. Each signal changes colour from green to red and then from red to green. The first signal takes 25 seconds, the second signal takes 39 seconds and the third signal takes 60 seconds to change the colour from green to red. The durations for green and red are the same. At 2:00 pm, they together turn green. At what time will they change to green next, simultaneously? (UPSC 2023)

2. A shop contains 312 Kg of Rice, 195 Kg of Wheat and 273 Kg of Barley. This needs to be packed in such a way that each pack contains only one product and weight of all the pack is equal. Then what will be the maximum weight allowed in each pack?

3. Athulya has certain number of sweets with her. If she divides the sweets equally between 7, 8 or 9 friends she won’t be left with any sweets. Then which of the following is a possible number of sweets with her?

4. Anju comes to park every 6th day and Anu comes to park every 9th day. If both of them came to park on January 1st, then when will they meet again at the park?

5. Consider the following statements with respect LCM and HCF of three natural numbers x, y and z

Statement-1: If ‘x’ is a factor of ‘y’ and ‘z’, then HCF of x, y and z is x itself.

Statement-2: If ‘x’ and ‘y’ are factors of ‘z’, then LCM of x, y and z is z.

Statement-3: If ‘x’ is a factor of ‘y’ and ‘y’ is a factor of ‘z’, then HCF of x, y and z is x itself.

Which of the above given statements are correct?