Number, Ranking and Time Sequence Test Questions and Answers

Q: Count each 1 in the following sequence of numbers that is immediately followed by 2, if 2 is not immediately followed by 3. How many such l’s are there? 1 2 1 3 4 5 1 2 3 5 2 1 2 6 1 4 5 1 1 2 4 1 2 3 2 1 7 5 2 1 2 5

Correct answer: 4Counting the 1s that are followed by a 2 which is not itself followed by a 3 gives 4. The pair 1 2 3 is excluded each time it occurs, because there the 2 is followed by a 3.

Q: The weights of 4 boxes are 20, 30, 50 and 70 kilograms. Which of the following cannot be the total weight, in kilograms, of any combination of these boxes and in a combination a box can be used only once?

Correct answer: 160The possible totals are the four weights singly (20, 30, 50, 70), in pairs (50, 70, 80, 90, 100, 120), in threes (100, 120, 140, 150) and all together (170). 160 appears nowhere among them, so it cannot be made.

Q: Pearl Towers is taller than Sky Towers but shorter than Unity Towers. Unity Towers and Cyber Towers are of same height. Pearl Towers is shorter than Indus Towers. Amongst the buildings, who is the second shortest?

Correct answer: Pearl TowerThe comparisons give \( \text{Sky} < \text{Pearl} < \text{Unity} = \text{Cyber} \) and \( \text{Pearl} < \text{Indus} \). Sky is therefore the shortest and Pearl the next shortest, the other three all standing above it.

Q: How many 4's are there preceded by 7 but not followed by 3? 5 9 3 2 1 7 4 2 6 9 7 4 6 1 3 2 8 7 4 1 3 8 3 2 5 6 7 4 3 9 5 8 2 0 1 8 7 4 6 3

Correct answer: FourFour 4s have a 7 before them and something other than 3 after them: 7 4 2, 7 4 6, 7 4 1 and the last 7 4 6. The 4 in 7 4 3 is ruled out by the 3 that follows it. So the answer is four.

Q: 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

Correct answer: ThreeThree 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.

Q: In a row of boys, Tarak is 18th from either end. How many boys are there in the row?

Correct answer: 35Tarak is counted from both ends, so the row holds \[ 18 + 18 - 1 = \mathbf{35} \] boys.

Q: 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?

Correct answer: 10Arranged 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 \[ 6 + 4 = \mathbf{10} \]

Q: 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?

Correct answer: 33The 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: \[ 22 + 12 - 1 = \mathbf{33} \]

Q: 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

Correct answer: TwoAn 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.

Q: If first day of the year(not a leap year) was monday, then what was the last day of the year?

Correct answer: mondayA 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.

Important Instructions

131.

Count each 1 in the following sequence of numbers that is immediately followed by 2, if 2 is not immediately followed by 3. How many such l’s are there?

1 2 1 3 4 5 1 2 3 5 2 1 2 6 1 4 5 1 1 2 4 1 2 3 2 1 7 5 2 1 2 5

Answer: B

Correct answer: 4

Counting the 1s that are followed by a 2 which is not itself followed by a 3 gives 4. The pair 1 2 3 is excluded each time it occurs, because there the 2 is followed by a 3.

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132.

The weights of 4 boxes are 20, 30, 50 and 70 kilograms. Which of the following cannot be the total weight, in kilograms, of any combination of these boxes and in a combination a box can be used only once?

A.170
B.160
C.150
D.120

Answer: B

Correct answer: 160

The possible totals are the four weights singly (20, 30, 50, 70), in pairs (50, 70, 80, 90, 100, 120), in threes (100, 120, 140, 150) and all together (170). 160 appears nowhere among them, so it cannot be made.

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133.

Pearl Towers is taller than Sky Towers but shorter than Unity Towers. Unity Towers and Cyber Towers are of same height. Pearl Towers is shorter than Indus Towers. Amongst the buildings, who is the second shortest?

A.Pearl Tower
B.Sky Tower
C.Indus Tower
D.Unity Tower

Answer: A

Correct answer: Pearl Tower

The comparisons give \( \text{Sky} < \text{Pearl} < \text{Unity} = \text{Cyber} \) and \( \text{Pearl} < \text{Indus} \). Sky is therefore the shortest and Pearl the next shortest, the other three all standing above it.

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134.

How many 4's are there preceded by 7 but not followed by 3?

5 9 3 2 1 7 4 2 6 9 7 4 6 1 3 2 8 7 4 1 3 8 3 2 5 6 7 4 3 9 5 8 2 0 1 8 7 4 6 3

A.Four
B.Three
C.Six
D.Five

Answer: A

Correct answer: Four

Four 4s have a 7 before them and something other than 3 after them: 7 4 2, 7 4 6, 7 4 1 and the last 7 4 6. The 4 in 7 4 3 is ruled out by the 3 that follows it. So the answer is four.

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135.

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

A.One
B.Two
C.Three
D.Four

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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136.

In a row of boys, Tarak is 18th from either end. How many boys are there in the row?

A.19
B.36
C.35
D.42

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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137.

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?

A.10
B.9
C.8
D.6

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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138.

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?

A.33
B.32
C.34
D.31

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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139.

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

A.One
B.Two
C.Three
D.Four

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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140.

If first day of the year(not a leap year) was monday, then what was the last day of the year?

A.friday
B.saturday
C.monday
D.sunday

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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