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The following are the weights of five students p, Q, R, s, t taken three at a time 125kg, 127kg, 128kg, 132kg, 133kg, 135kg, 135kg, 136kg, 138kg and143kg.the weight of each of the students is a distinct integer.it is known that T is the heaviest and p, Q and s together weighted 16 kg less than R, S and T together question who is the third heaviest student Who is the weight of heaviest student?
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The following are the weights of five students p, Q, R, s, t taken thr...
Solution:
Given data:
- Weights of students taken three at a time: 125kg, 127kg, 128kg, 132kg, 133kg, 135kg, 135kg, 136kg, 138kg and 143kg
- T is the heaviest student
- P, Q and S together weighed 16 kg less than R, S and T together
Let's solve this question step-by-step.
Step 1: Find the sum of all weights
- Sum of weights taken three at a time: 125kg + 127kg + 128kg + 132kg + 133kg + 135kg + 135kg + 136kg + 138kg + 143kg = 1352kg
- Let's assume the weight of P, Q, R, S, and T as x1, x2, x3, x4, and x5 respectively.
- Sum of all weights: x1 + x2 + x3 + x4 + x5 = (125+127+128+132+133+135+135+136+138+143) + (x1+x2+x3+x4+x5)
=> x1 + x2 + x3 + x4 + x5 = 1551kg
Step 2: Find the heaviest student
- T is the heaviest student, i.e., x5 = 143kg
Step 3: Use the given condition to form an equation
- P, Q, and S together weighed 16 kg less than R, S, and T together
=> x1 + x2 + x4 = x3 + x4 + x5 - 16
=> x1 + x2 = x3 + x5 - 16 - x4
- We know that x5 is the heaviest student, so x3 and x4 are the next two heaviest students.
- From the above equation, we can say that the sum of the weights of P and Q is less than the sum of the weights of R and T by (16 + x4) kg.
- So, the weight of P and Q cannot be greater than the weight of R and T. Hence, x1 + x2 < x3="" +="" />
Step 4: Use the above conditions to find the weight of each student
- As the sum of all weights is 1551kg, we can subtract the weight of T from it to get the sum of the weights of P, Q, R, and S.
=> x1 + x2 + x3 + x4 = 1551 - 143 = 1408kg
- As we know that x1 + x2 < x3="" +="" x5,="" we="" can="" assume="" the="" following="" />
* (x1 + x2) = (x3 + x4) = 469kg and x5 = 143kg (since x1, x2, x3, x4, and x5 are distinct integers)
* (x1 + x2) = (x3 + x4) = 470kg and x5 = 143kg
* (x1 + x2) = (x3 + x4) = 471kg and x5 = 143kg
* (x1 + x2) = (
Given data:
- Weights of students taken three at a time: 125kg, 127kg, 128kg, 132kg, 133kg, 135kg, 135kg, 136kg, 138kg and 143kg
- T is the heaviest student
- P, Q and S together weighed 16 kg less than R, S and T together
Let's solve this question step-by-step.
Step 1: Find the sum of all weights
- Sum of weights taken three at a time: 125kg + 127kg + 128kg + 132kg + 133kg + 135kg + 135kg + 136kg + 138kg + 143kg = 1352kg
- Let's assume the weight of P, Q, R, S, and T as x1, x2, x3, x4, and x5 respectively.
- Sum of all weights: x1 + x2 + x3 + x4 + x5 = (125+127+128+132+133+135+135+136+138+143) + (x1+x2+x3+x4+x5)
=> x1 + x2 + x3 + x4 + x5 = 1551kg
Step 2: Find the heaviest student
- T is the heaviest student, i.e., x5 = 143kg
Step 3: Use the given condition to form an equation
- P, Q, and S together weighed 16 kg less than R, S, and T together
=> x1 + x2 + x4 = x3 + x4 + x5 - 16
=> x1 + x2 = x3 + x5 - 16 - x4
- We know that x5 is the heaviest student, so x3 and x4 are the next two heaviest students.
- From the above equation, we can say that the sum of the weights of P and Q is less than the sum of the weights of R and T by (16 + x4) kg.
- So, the weight of P and Q cannot be greater than the weight of R and T. Hence, x1 + x2 < x3="" +="" />
Step 4: Use the above conditions to find the weight of each student
- As the sum of all weights is 1551kg, we can subtract the weight of T from it to get the sum of the weights of P, Q, R, and S.
=> x1 + x2 + x3 + x4 = 1551 - 143 = 1408kg
- As we know that x1 + x2 < x3="" +="" x5,="" we="" can="" assume="" the="" following="" />
* (x1 + x2) = (x3 + x4) = 469kg and x5 = 143kg (since x1, x2, x3, x4, and x5 are distinct integers)
* (x1 + x2) = (x3 + x4) = 470kg and x5 = 143kg
* (x1 + x2) = (x3 + x4) = 471kg and x5 = 143kg
* (x1 + x2) = (
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The following are the weights of five students p, Q, R, s, t taken three at a time 125kg, 127kg, 128kg, 132kg, 133kg, 135kg, 135kg, 136kg, 138kg and143kg.the weight of each of the students is a distinct integer.it is known that T is the heaviest and p, Q and s together weighted 16 kg less than R, S and T together question who is the third heaviest student Who is the weight of heaviest student?
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The following are the weights of five students p, Q, R, s, t taken three at a time 125kg, 127kg, 128kg, 132kg, 133kg, 135kg, 135kg, 136kg, 138kg and143kg.the weight of each of the students is a distinct integer.it is known that T is the heaviest and p, Q and s together weighted 16 kg less than R, S and T together question who is the third heaviest student Who is the weight of heaviest student? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about The following are the weights of five students p, Q, R, s, t taken three at a time 125kg, 127kg, 128kg, 132kg, 133kg, 135kg, 135kg, 136kg, 138kg and143kg.the weight of each of the students is a distinct integer.it is known that T is the heaviest and p, Q and s together weighted 16 kg less than R, S and T together question who is the third heaviest student Who is the weight of heaviest student? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The following are the weights of five students p, Q, R, s, t taken three at a time 125kg, 127kg, 128kg, 132kg, 133kg, 135kg, 135kg, 136kg, 138kg and143kg.the weight of each of the students is a distinct integer.it is known that T is the heaviest and p, Q and s together weighted 16 kg less than R, S and T together question who is the third heaviest student Who is the weight of heaviest student?.
The following are the weights of five students p, Q, R, s, t taken three at a time 125kg, 127kg, 128kg, 132kg, 133kg, 135kg, 135kg, 136kg, 138kg and143kg.the weight of each of the students is a distinct integer.it is known that T is the heaviest and p, Q and s together weighted 16 kg less than R, S and T together question who is the third heaviest student Who is the weight of heaviest student? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about The following are the weights of five students p, Q, R, s, t taken three at a time 125kg, 127kg, 128kg, 132kg, 133kg, 135kg, 135kg, 136kg, 138kg and143kg.the weight of each of the students is a distinct integer.it is known that T is the heaviest and p, Q and s together weighted 16 kg less than R, S and T together question who is the third heaviest student Who is the weight of heaviest student? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The following are the weights of five students p, Q, R, s, t taken three at a time 125kg, 127kg, 128kg, 132kg, 133kg, 135kg, 135kg, 136kg, 138kg and143kg.the weight of each of the students is a distinct integer.it is known that T is the heaviest and p, Q and s together weighted 16 kg less than R, S and T together question who is the third heaviest student Who is the weight of heaviest student?.
Solutions for The following are the weights of five students p, Q, R, s, t taken three at a time 125kg, 127kg, 128kg, 132kg, 133kg, 135kg, 135kg, 136kg, 138kg and143kg.the weight of each of the students is a distinct integer.it is known that T is the heaviest and p, Q and s together weighted 16 kg less than R, S and T together question who is the third heaviest student Who is the weight of heaviest student? in English & in Hindi are available as part of our courses for CAT.
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