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Question 1 of 5
1. Question
The speeds of three buses are in the ratio 2:3:4. The time taken by these buses to travel the same distance will be in ratio.
Correct
Ans: d
Let the distance be x.
Now, ratio of time taken the distance by each bus
= x/2:x/3:x/4=12/2:12/3:12/4 = 6:4:3
Incorrect
Ans: d
Let the distance be x.
Now, ratio of time taken the distance by each bus
= x/2:x/3:x/4=12/2:12/3:12/4 = 6:4:3
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Question 2 of 5
2. Question
There are 48 cricket balls, 72 hockey balls and 84 tennis balls and they have to be arranged in several rows in such a way that every row contains the same number of balls of one type. What is the minimum number of rows required for this to happen?
Correct
Ans: c
Given number of cricket balls= 48= 24 x3
Number of hockey balls = 72 = 23x 32
And number of tennis balls = 84=22x 3×7
∴HCF of 48, 72 and 84 = 22 x 3= 12
Now, minimum number of rows= (48/12)+(72/12)+(84/12)=4+6+7=17
Incorrect
Ans: c
Given number of cricket balls= 48= 24 x3
Number of hockey balls = 72 = 23x 32
And number of tennis balls = 84=22x 3×7
∴HCF of 48, 72 and 84 = 22 x 3= 12
Now, minimum number of rows= (48/12)+(72/12)+(84/12)=4+6+7=17
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Question 3 of 5
3. Question
In a class of 60, where girls are twice that of boys, Kamal ranked seventeenth from the top. If there are 9 girls ahead of Kamal, how many boys are after him in rank?
Correct
Correct Answer : C
Answer Justification : Explanation: Let the number of boys be x. Then, number of girls = 2x.
x + 2x = 60 or 3x = 60 or x = 20. So, number of boys = 20 and number of girls = 40.
Number of students behind Kamal in rank (60 – 17) =43. Number of girls ahead of Kamal in rank = 9. Number of girls behind Kamal in rank = (40 – 9) = 31 Number of boys behind Kamal in rank = (43 – 31) = 12.
Incorrect
Correct Answer : C
Answer Justification : Explanation: Let the number of boys be x. Then, number of girls = 2x.
x + 2x = 60 or 3x = 60 or x = 20. So, number of boys = 20 and number of girls = 40.
Number of students behind Kamal in rank (60 – 17) =43. Number of girls ahead of Kamal in rank = 9. Number of girls behind Kamal in rank = (40 – 9) = 31 Number of boys behind Kamal in rank = (43 – 31) = 12.
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Question 4 of 5
4. Question
The 30 members of a club decided to play a badminton singles tournament. Every time a member loses a game he is out of the tournament. There are no ties. What is the minimum number of matches that must be played to determine the winner?
Correct
Ans-Correct answer: B
Clearly, every member except one (i.e., the winner) must lose one game to decide the winner. Thus, minimum number of matches to be played = 30 – 1 = 29.
Incorrect
Ans-Correct answer: B
Clearly, every member except one (i.e., the winner) must lose one game to decide the winner. Thus, minimum number of matches to be played = 30 – 1 = 29.
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Question 5 of 5
5. Question
A tailor had a number of shirt pieces to cut from a roll of fabric. He cut each roll of equal length into 10 pieces. He cut at the rate of 45 cuts a minute. How many rolls would be cut in 24 minutes?
Correct
Correct answer D
Number of cuts made to cut a roll into 10 pieces = 9. Therefore, required number of rolls = (45 × 24)/9 = 120.
Incorrect
Correct answer D
Number of cuts made to cut a roll into 10 pieces = 9. Therefore, required number of rolls = (45 × 24)/9 = 120.
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