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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In a class of 50 students M is eighth from top. H is 20th from bottom. How many students are there between M and H?
Answer: A
Correct answer: 22
H is 20th from the bottom of 50, so he is \( 50-20+1 = 31 \)st from the top. Between the 8th and the 31st place there are \[ 31 - 8 - 1 = \mathbf{22} \] students.
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Sanjeev ranks seventh from the top and twenty-eighth from the bottom in a class. How many students are there in the class ?
Answer: D
Correct answer: 34
Sanjeev is counted from both ends, so the class holds \[ 7 + 28 - 1 = \mathbf{34} \] students.
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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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