How many 6’s are there in the following series of numbers which are preceded by 7 but not immediately followed by 9?
6 7 9 5 6 9 7 6 8 7 6 7 8 6 9 4 6 7 7 6 9 5 7 6 3
Answer: C
Correct answer: Three
Three 6s have a 7 before them and something other than 9 after them: 7 6 8, 7 6 7 and 7 6 3. The 6 in 7 6 9 is ruled out by the 9 that follows it. So the count is three.
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In a row of boys, Tarak is 18th from either end. How many boys are there in the row?
Answer: C
Correct answer: 35
Tarak is counted from both ends, so the row holds \[ 18 + 18 - 1 = \mathbf{35} \] boys.
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If the digits in the number 25673948 are arranged in ascending order from left to right, what will be the sum of the digits which are fourth from the right and third from the left in the new arrangement?
Answer: A
Correct answer: 10
Arranged in ascending order the digits of 25673948 read 2, 3, 4, 5, 6, 7, 8, 9. The fourth from the right is 6 and the third from the left is 4, so the sum is \[ 6 + 4 = \mathbf{10} \]
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In a row of books a book of English is 16th from left end of row. A book of Mathematics is 12th from the right end. If the Mathematics book is 6th to the right of the English book, then how many total books are in the row?
Answer: A
Correct answer: 33
The mathematics book is six places to the right of the English book, which is 16th from the left, so it stands 22nd from the left. It is also 12th from the right: \[ 22 + 12 - 1 = \mathbf{33} \]
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In these series given below, how many 8s are there each of which is exactly divisible by its immediately preceding as well as succeeding numbers?
2 8 3 8 2 4 8 2 4 8 6 8 2 8 2 4 8 3 8 2 8 6
Answer: B
Correct answer: Two
An 8 qualifies only if both its neighbours divide it exactly, so both must be among 1, 2, 4 and 8. Two do: the 8 standing between 4 and 2, and the 8 standing between 2 and 2. The rest have a 3 or a 6 on one side, and neither divides 8. So the answer is two.
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If first day of the year(not a leap year) was monday, then what was the last day of the year?
Answer: C
Correct answer: monday
A common year has 365 days, and \( 365 = 52 \times 7 + 1 \). The year therefore contains 52 whole weeks and one day over, so the last day falls on the same weekday as the first: Monday.
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The positions of the first and sixth digits in the number 5109238674 are interchanged. Similarly the positions of the second and the seventh digits are interchanged and so on . which of the following will be the third digit from the right end after the after the rearrangement?
Answer: D
Correct answer: 0
Interchanging the 1st with the 6th, the 2nd with the 7th and so on turns 5109238674 into 3867451092. Reading off the place the question asks for gives 0.
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