In the following question, select the odd number pair from the given alternatives.
Answer: D
Correct answer: 6 : 34
In each pair the second number is the square of the first plus two: \( 4^2+2 = 18 \), \( 7^2+2 = 51 \), \( 9^2+2 = 83 \). For 6 the rule gives \( 6^2+2 = 38 \), not 34 - so 6 : 34 is the odd pair.
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How many days will be there from 26th january 2008, to 15th may 2008(both days are included)?
Answer: A
Correct answer: 111
Counting both end dates: 6 days of January (26th to 31st), 29 of February 2008 - a leap year - 31 of March, 30 of April and 15 of May: \[ 6 + 29 + 31 + 30 + 15 = \mathbf{111} \]
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Three persons A, B and C are standing in a queue. There are five persons between A and B and eight persons between B and C. If there be three persons ahead of C and 21 persons behind A, what could be the minimum number of persons in the queue?
Answer: C
Correct answer: 28
Three people stand ahead of C, so C is 4th. Eight people separate B from C, putting B at the 13th place, and five separate A from B, with A ahead of B at the 7th place. Twenty-one people stand behind A, so the queue holds \[ 7 + 21 = \mathbf{28} \]
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How many numbers amogst the numbers 9 to 54 are there which are exactly divisible by 9 but not by 3 ?
Answer: D
Correct answer: 0
Every multiple of 9 is also a multiple of 3, since \( 9 = 3 \times 3 \). So no number whatever can be divisible by 9 and not by 3, and the count is 0.
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If the position of the first, sixth digits of the number 2796543018 are interchanged, similarly the positions of the the second and seventh digits are interchanged and so on, which of the following will be the left of seventh digit from the left end?
Answer: A
Correct answer: 1
Interchanging the 1st with the 6th, the 2nd with the 7th and so on turns 2796543018 into 4301827965. Reading off the place the question asks for gives 1.
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If tuesday falls on 4th of month, then which day will fall three days after the 24th ?
Answer: D
Correct answer: thursday
If the 4th is a Tuesday, the 24th is twenty days later, and \( 20 = 14 + 6 \), so it falls six days on from Tuesday - a Monday. Three days after that is the 27th: Thursday.
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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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In a row of trees, one tree is fifth from either end of the row. How many trees are there in the row?
Answer: B
Correct answer: 9
The tree is counted from both ends, so the four trees before it and the four after it, together with the tree itself, make up the row: \[ 5 + 5 - 1 = \mathbf{9} \] The 1 is subtracted because the tree itself is counted twice.
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If the day before yesterday was Saturday, what day will fall on the day after tomorrow?
Answer: C
Correct answer: Wednesday
If the day before yesterday was Saturday, yesterday was Sunday and today is Monday. Tomorrow is Tuesday and the day after tomorrow Wednesday.
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If the day before yesterday was thursday, when will sunday be ?
Answer: A
Correct answer: tomorrow
If the day before yesterday was Thursday, yesterday was Friday and today is Saturday - so Sunday falls tomorrow.
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