If Atul finds that he is twelfth from the right in a line of boys and forth from the left, how many boys should be added to the line such that there are 28 boys in the line ?
Answer: B
Correct answer: 13
Atul is 4th from the left and 12th from the right, so the line already holds \( 4 + 12 - 1 = 15 \) boys. To bring it to 28, \[ 28 - 15 = \mathbf{13} \] more must be added.
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Manisha ranked sixteenth from the top and twenty-ninth from the bottom among those who passed an examination. Six boys did not participate in the competition and five failed in it. How many boys were there in the class?
Answer: D
Correct answer: 55
Among those who passed, Manisha is 16th from the top and 29th from the bottom, so \( 16 + 29 - 1 = 44 \) passed. Five more failed, making 49 who sat the examination, and six did not take part at all: \[ 44 + 5 + 6 = \mathbf{55} \]
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Some boys are sitting in a row. P is sitting fourteenth from the left and Q is seventh from the right. If there are four boys between P and Q, how many boys are there in the row?
Answer: A
Correct answer: 25
P is 14th from the left, four boys stand between him and Q, and Q is 7th from the right, so the row holds \[ 14 + 4 + 7 = \mathbf{25} \] boys.
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Aruna ranks twelfth in a class of forty-six. What will be her rank from the last?
Answer: C
Correct answer: 35
In a class of 46, a rank of 12 from the top is \[ 46 - 12 + 1 = \mathbf{35} \] from the bottom.
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Manoj and Sachin are ranked seventh and eleventh respectively from the top in a class of 31 students. What will be their respective ranks from the bottom in the class?
Answer: C
Correct answer: 25th and 21st
In a class of 31, a rank of \( r \) from the top is \( 31 - r + 1 \) from the bottom. So Manoj, 7th from the top, is \( 31-7+1 = \mathbf{25} \)th, and Sachin, 11th, is \( 31-11+1 = \mathbf{21} \)st.
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Ravi is 7 ranks ahead of Sumit in a class of 39. If Sumit’s rank is seventeenth from the last, what is Ravi’s rank from the start?
Answer: C
Correct answer: 16th
Sumit is 17th from the last in a class of 39, so he is \( 39 - 17 + 1 = 23 \)rd from the start. Ravi is seven ranks ahead of him: \[ 23 - 7 = \mathbf{16} \text{th} \]
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Satish remembers that his brother’s birthday is after fifteenth but before eighteenth of February whereas his sister Payal remembers that her brother’s birthday is after sixteenth but before nineteenth of February. On which day in February is Satish’s brother’s birthday?
Answer: B
Correct answer: 17th
Satish narrows the date to the 16th or 17th, and Payal to the 17th or 18th. The only date both allow is the 17th.
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A bus for Delhi leaves every thirty minutes from a bus stand. An enquiry clerk told a passenger that the bus had already left ten minutes ago and the next bus will leave at 9.35 a.m. At what time did the enquiry clerk give this information to the passenger?
Answer: D
Correct answer: 9.15 a.m.
Buses leave every thirty minutes, so the one before the 9.35 bus left at 9.05. That bus had gone ten minutes earlier, which puts the conversation at \[ 9.05 + 10\text{ min} = \mathbf{9.15\ a.m.} \]
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If the seventh day of a month is three days earlier than Friday, what day will it be on the nineteenth day of the month?
Answer: A
Correct answer: Sunday
Three days earlier than Friday is Tuesday, so the 7th is a Tuesday. The 19th is twelve days later, and \( 12 = 7 + 5 \), so it falls five days on from Tuesday - Sunday.
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If it was Saturday on 17th December 1982 what will be the day of 22nd December 1984?
Answer: D
Correct answer: Sunday
From 17 December 1982 to 17 December 1983 is 365 days, which moves the day on by one to Sunday. The next year contains 29 February 1984, so it is 366 days and moves it on by two more, to Tuesday. From 17 to 22 December is five days further: Tuesday + 5 = Sunday.
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