Comprehension
DIRECTIONS for the following two questions: Answer the questions on the basis of the information given below.
Some children were taking free throws at the basketball court in school during lunch break. Below are some facts about how many baskets these children shot.
i. Ganesh shot 8 baskets less than Ashish.
ii. Dhanraj and Ramesh together shot 37 baskets.
iii. Jugraj shot 8 baskets more than Dhanraj.
iv. Ashish shot 5 baskets more than Dhanraj.
v. Ashish and Ganesh together shot 40 baskets.
Question: 1
Which of the following statements is true?
Which of the following statements is true?
Show Hint
Write every child's score in terms of Dhanraj's score. Then use the fact that gives the total of two children to fix that one unknown.
Updated On: Nov 7, 2026
- Ramesh shot 18 baskets and Dhanraj shot 19 baskets
- Ganesh shot 24 baskets and Ashish shot 16 baskets
- Jugraj shot 19 baskets and Dhanraj shot 27 baskets
- Dhanraj shot 11 baskets and Ashish shot 16 baskets
Show Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
Step 1: Pick one unknown to work with.
Five facts link five children, so we write everyone in terms of Dhanraj. Let Dhanraj shoot \( d \) baskets.
Step 2: Express the others in terms of d.
Fact iv: Ashish shot 5 more than Dhanraj, so Ashish \( = d + 5 \).
Fact i: Ganesh shot 8 less than Ashish, so Ganesh \( = d + 5 - 8 = d - 3 \).
Fact iii: Jugraj shot 8 more than Dhanraj, so Jugraj \( = d + 8 \).
Fact ii: Dhanraj and Ramesh together shot 37, so Ramesh \( = 37 - d \).
Step 3: Use fact v to find d.
Ashish and Ganesh together shot 40:
\[ (d + 5) + (d - 3) = 40 \Rightarrow 2d + 2 = 40 \Rightarrow d = 19 \]
So Dhanraj = 19.
Step 4: Find everyone's score.
Ashish \( = 24 \), Ganesh \( = 16 \), Jugraj \( = 27 \), Ramesh \( = 37 - 19 = 18 \).
Check fact v again: \( 24 + 16 = 40 \). Fact ii: \( 19 + 18 = 37 \). Both hold.
Step 5: Check each option.
Option (1): Ramesh 18 and Dhanraj 19. Both match, so (1) is TRUE.
Option (2): Ganesh 24 and Ashish 16. The real values are Ganesh 16 and Ashish 24, so the two are swapped. (2) is FALSE.
Option (3): Jugraj 19 and Dhanraj 27. The real values are Jugraj 27 and Dhanraj 19, again swapped. (3) is FALSE.
Option (4): Dhanraj 11 and Ashish 16. Dhanraj is 19 and Ashish is 24, so (4) is FALSE.
Final Answer:
Ramesh shot 18 baskets and Dhanraj shot 19 baskets, which is option 1. \[ \boxed{1} \]
Five facts link five children, so we write everyone in terms of Dhanraj. Let Dhanraj shoot \( d \) baskets.
Step 2: Express the others in terms of d.
Fact iv: Ashish shot 5 more than Dhanraj, so Ashish \( = d + 5 \).
Fact i: Ganesh shot 8 less than Ashish, so Ganesh \( = d + 5 - 8 = d - 3 \).
Fact iii: Jugraj shot 8 more than Dhanraj, so Jugraj \( = d + 8 \).
Fact ii: Dhanraj and Ramesh together shot 37, so Ramesh \( = 37 - d \).
Step 3: Use fact v to find d.
Ashish and Ganesh together shot 40:
\[ (d + 5) + (d - 3) = 40 \Rightarrow 2d + 2 = 40 \Rightarrow d = 19 \]
So Dhanraj = 19.
Step 4: Find everyone's score.
Ashish \( = 24 \), Ganesh \( = 16 \), Jugraj \( = 27 \), Ramesh \( = 37 - 19 = 18 \).
Check fact v again: \( 24 + 16 = 40 \). Fact ii: \( 19 + 18 = 37 \). Both hold.
Step 5: Check each option.
Option (1): Ramesh 18 and Dhanraj 19. Both match, so (1) is TRUE.
Option (2): Ganesh 24 and Ashish 16. The real values are Ganesh 16 and Ashish 24, so the two are swapped. (2) is FALSE.
Option (3): Jugraj 19 and Dhanraj 27. The real values are Jugraj 27 and Dhanraj 19, again swapped. (3) is FALSE.
Option (4): Dhanraj 11 and Ashish 16. Dhanraj is 19 and Ashish is 24, so (4) is FALSE.
Final Answer:
Ramesh shot 18 baskets and Dhanraj shot 19 baskets, which is option 1. \[ \boxed{1} \]
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Question: 2
Which of the following statements is true?
Which of the following statements is true?
Show Hint
First find out how many baskets each child shot. Then compare each option with those scores.
Updated On: Nov 7, 2026
- Dhanraj and Jugraj together shot 46 baskets.
- Ganesh shot 18 baskets and Ramesh shot 21 baskets.
- Dhanraj shot 3 more baskets than Ramesh.
- Ramesh and Jugraj together shot 29 baskets.
Show Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
Step 1: Reuse the data from the passage.
Let Dhanraj shoot \( d \) baskets. Then Ashish \( = d + 5 \), Ganesh \( = d - 3 \), Jugraj \( = d + 8 \) and Ramesh \( = 37 - d \).
Step 2: Solve for d.
Ashish and Ganesh together shot 40, so \( (d + 5) + (d - 3) = 40 \), which gives \( 2d = 38 \) and \( d = 19 \).
So Dhanraj 19, Ashish 24, Ganesh 16, Jugraj 27, Ramesh 18.
Step 3: Check statement (1).
Jugraj shot 8 more than Dhanraj, so the pair together shoot \( 2 \times 19 + 8 = 46 \), which is the same as \( 19 + 27 = 46 \). That matches the statement, so (1) is TRUE.
Step 4: Check statement (2).
Ganesh is 16, not 18, and Ramesh is 18, not 21. So (2) is FALSE.
Step 5: Check statement (3).
Dhanraj minus Ramesh is \( 19 - 18 = 1 \), not 3. So (3) is FALSE.
Step 6: Check statement (4).
Ramesh and Jugraj together: \( 18 + 27 = 45 \), not 29. So (4) is FALSE.
Final Answer:
Only statement (1) holds, so the answer is option 1. \[ \boxed{1} \]
Let Dhanraj shoot \( d \) baskets. Then Ashish \( = d + 5 \), Ganesh \( = d - 3 \), Jugraj \( = d + 8 \) and Ramesh \( = 37 - d \).
Step 2: Solve for d.
Ashish and Ganesh together shot 40, so \( (d + 5) + (d - 3) = 40 \), which gives \( 2d = 38 \) and \( d = 19 \).
So Dhanraj 19, Ashish 24, Ganesh 16, Jugraj 27, Ramesh 18.
Step 3: Check statement (1).
Jugraj shot 8 more than Dhanraj, so the pair together shoot \( 2 \times 19 + 8 = 46 \), which is the same as \( 19 + 27 = 46 \). That matches the statement, so (1) is TRUE.
Step 4: Check statement (2).
Ganesh is 16, not 18, and Ramesh is 18, not 21. So (2) is FALSE.
Step 5: Check statement (3).
Dhanraj minus Ramesh is \( 19 - 18 = 1 \), not 3. So (3) is FALSE.
Step 6: Check statement (4).
Ramesh and Jugraj together: \( 18 + 27 = 45 \), not 29. So (4) is FALSE.
Final Answer:
Only statement (1) holds, so the answer is option 1. \[ \boxed{1} \]
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