MEDIUM
IOQM - PRMO and RMO
IMPORTANT
Earn 100

The Saxena family consists of a mother, a father, and some children. The average age of the members of the family is 20, the father is 48 years old, and the average age of the mother and children is 16 . How many children are in the family?

50% studentsanswered this correctly

Important Questions on Algebra

EASY
IOQM - PRMO and RMO
IMPORTANT
Non-Routine Mathematics Resource Book-1 for PRMO>Chapter 1 - Algebra>EXERCISE - 1.5>Q 8
A teacher gave a test to a class in which 10% of the students are juniors and 90% are seniors. The average score on the test was 84. The juniors all received the same score, and the average score of the seniors was 83. What score did each of the juniors receive on the test?
EASY
IOQM - PRMO and RMO
IMPORTANT
Non-Routine Mathematics Resource Book-1 for PRMO>Chapter 1 - Algebra>EXERCISE - 1.5>Q 9

In the five-sided star shown, the letters A, B, C, D and E are replaced by the numbers 3,5,6,7, and 9 although not necessarily in this order. The sums of the numbers at the ends of the line segments AB¯, BC¯, CD¯, DE¯ and EA¯ form an arithmetic sequence, although not necessarily in this order. What is the middle term of the arithmetic sequence?

Question Image

EASY
IOQM - PRMO and RMO
IMPORTANT
Non-Routine Mathematics Resource Book-1 for PRMO>Chapter 1 - Algebra>EXERCISE - 1.5>Q 10
A man bought two paintings and then sold them for 300 rupees each. He made a profit of 20% for the first painting, but a loss of 20% for the second painting. State the amount of profit or loss in rupees
MEDIUM
IOQM - PRMO and RMO
IMPORTANT
Non-Routine Mathematics Resource Book-1 for PRMO>Chapter 1 - Algebra>EXERCISE - 1.5>Q 11
Each valve A, B, and C, when open, releases water into a tank as it own constant rate. With all three valves open, the tank fills in 1 hour, with only valves A and C open it takes 1.5 hour, and with only valves B and C open it takes 2 hours. The number of minutes required with only valves A and B open is
MEDIUM
IOQM - PRMO and RMO
IMPORTANT
Non-Routine Mathematics Resource Book-1 for PRMO>Chapter 1 - Algebra>EXERCISE - 1.5>Q 12
Mohit has a collection of 23 coins, consisting of 5-paise coins, 10-paise coins, and 25-paise coins. He has 3 more 10-paise coins than 5-paise coins, and the total value of his collection is 320 paise. How many more 25-paise coins does Mohit have than 5-paise coins?
EASY
IOQM - PRMO and RMO
IMPORTANT
Non-Routine Mathematics Resource Book-1 for PRMO>Chapter 1 - Algebra>EXERCISE - 1.5>Q 13
Sameer drive 96 km in 90 mins. His average speed during the first 30 mins was 60 kph (kilo meter per hour), and his average speed during the second 30 mins was 65 kph. What was his average speed, in kph, during the last 30 mins?
EASY
IOQM - PRMO and RMO
IMPORTANT
Non-Routine Mathematics Resource Book-1 for PRMO>Chapter 1 - Algebra>EXERCISE - 1.5>Q 14
Every week Ramesh pays for a movie ticket and a soda out of his allowance. Last week, Ramesh's allowance was A Rupees. The cost of his movie ticket was 20% of the difference between A and the cost of his soda, while the cost of his soda was 5% of the difference between A and the cost of his movie ticket. To the nearest whole percent, what fraction of A did Ramesh pay for his movie ticket and soda?
EASY
IOQM - PRMO and RMO
IMPORTANT
Non-Routine Mathematics Resource Book-1 for PRMO>Chapter 1 - Algebra>EXERCISE - 1.5>Q 15
Sania set off on her bicycle to visit her friend, travelling at an average speed of17 km/h. When she had gone half the distance to her friend's house, a tire went flat, and she walked the rest of the way at 5 km/h. In all it took her 44 minutes to reach her friend's house. If Sania had to walk for x km. Find the value of 6x.