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Earn 100

How many distinct ordered triplets (x,y,z) satisfy the equations x+2y+4z=12, xy+4yz+2xz=22, xyz=6

50% studentsanswered this correctly

Important Questions on Algebra

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Non-Routine Mathematics Resource Book-1 for PRMO>Chapter 1 - Algebra>EXERCISE - 1.4>Q 39

How many ordered pairs of real numbers (x,y) satisfy the following system of equations?

x+3y=3

||x|-| y||=1

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IOQM - PRMO and RMO
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Non-Routine Mathematics Resource Book-1 for PRMO>Chapter 1 - Algebra>EXERCISE - 1.4>Q 40
What is the sum of all the solutions of x=2x-60-2x?
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Non-Routine Mathematics Resource Book-1 for PRMO>Chapter 1 - Algebra>EXERCISE - 1.4>Q 41
On a 50-question multiple choice math contest, students receive 4 points for a correct answer, 0 points for an answer left blank, and -1 point for an incorrect answer. Jasvinder's total score on the contest was 99. What is the maximum number of questions that Jasvinder could have answered correctly?
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Non-Routine Mathematics Resource Book-1 for PRMO>Chapter 1 - Algebra>EXERCISE - 1.5>Q 2
The two digits in Sunil's age are the same as the digits in Ramesh's age, but in reverse order. In five years Sunil will be twice as old as Ramesh will be, then what is the difference in their current ages?
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Non-Routine Mathematics Resource Book-1 for PRMO>Chapter 1 - Algebra>EXERCISE - 1.5>Q 3
Driving at a constant speed, Kavita usually takes 180 minutes to drive from her house to her mother's house.
One day Kavita begins the drive at her usual speed, but after driving 13 of the way, she hits a bad snowstorm and reduces her speed by 20 km per hour. This time the trip takes her a total of 276 minutes. Kavita is now H kms far from her mother's house. What is H5?
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Non-Routine Mathematics Resource Book-1 for PRMO>Chapter 1 - Algebra>EXERCISE - 1.5>Q 4
At kota Summer Camp, 60% of the children play soccer, 30% of the children swim, and 40% of the soccer players swim. To the nearest whole percent, what percent of the non-swimmers play soccer?
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Non-Routine Mathematics Resource Book-1 for PRMO>Chapter 1 - Algebra>EXERCISE - 1.5>Q 5
Amit and Rahul are 20 km apart. They bike toward one another with Amit traveling three times as fast as Rahul, and the distance between them decreasing at a rate of 1 kim/min. After 5 mins, Amit stops biking because of a flat tire and waits for Rahul. After how many minutes from the time they started to bike does Rahul reach Amit?
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IOQM - PRMO and RMO
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Non-Routine Mathematics Resource Book-1 for PRMO>Chapter 1 - Algebra>EXERCISE - 1.5>Q 6
Yesterday, Ram drove 1 hour longer than Shyam at an average speed 5 miles per hour faster than Shyam. Akash drove 2 hours longer than Shyam at an average speed 10 miles per hour faster than Shyam. Ram drove 70 miles more than Shyam. If Akash drove x km more than Shyam, then find x10