Number, Ranking and Time Sequence Test Questions and Answers

Q: In a row of buses, Panjab is at 19th position from the right end. Raftaar is 23 places to the left from Panjab and is at the exact centre of row. How manybuses are between Raftaar bus and bus standing at the left end?

Correct answer: 40Raftaar stands 23 places to the left of Panjab, who is 19th from the right, so Raftaar is 42nd from the right. Being at the exact centre he has equal numbers on each side, so the row holds \( 2\times42-1 = 83 \) buses and Raftaar is also 42nd from the left. Between him and the bus at the left end there are then \[ 42 - 2 = \mathbf{40} \] buses.

Q: Which is the third number to the left of the number which is exactly in the middle of the following sequence of numbers? 1 2 3 4 5 6 7 8 9 2 4 6 8 9 7 5 3 1 9 8 7 6 5 4 3 2 1

Correct answer: 4The sequence has 27 numbers, so the middle one is the 14th, which is 9. Counting three places to its left brings us to the 11th number, 4.

Q: 517 325 639 841 792 What will be the first digit of the second highest number after the positions of only the 2nd, 3rd digits within each number are interchanged?

Correct answer: 7Interchanging the second and third digit of each number gives 571, 352, 693, 814 and 729. In order these run 814, 729, 693, 571, 352, so the second highest is 729 and its first digit is 7.

Q: Rohan ranks seventh from the top and twenty-sixth from the bottom in a class. How many students are there in the class?

Correct answer: 32Rohan is counted from both ends, so the class holds \[ 7 + 26 - 1 = \mathbf{32} \] students.

Q: 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?

Correct answer: 25th and 21stIn 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.

Q: In a class, seven students are standing in a row. Q is standing left to R but right to P. O is standing right to N and left to P. Similarly, S is standing right to R and left to T. Find out who is standing in the middle ?

Correct answer: QTaking the conditions in turn: N, O, P in that order; then P, Q, R; then R, S, T. Joining them gives the single row N O P Q R S T, and the middle of seven is the fourth place - Q.

Q: In a row of boys, Punit’s position from the left end is 33rd and Ankit’s position from the right end is 25th. After interchanging their position, Punit’s position becomes 45th from the left end. How many boys are there in the row?

Correct answer: 69After the exchange Punit stands 45th from the left, which was Ankit’s place - so Ankit was 45th from the left and 25th from the right: \[ 45 + 25 - 1 = \mathbf{69} \]

Q: Nitin ranks 18th in a class of 49 students. What is rank from the last ?

Correct answer: 32In a class of 49, a rank of 18 from the top is \[ 49 - 18 + 1 = \mathbf{32} \] from the last.

Q: 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?

Correct answer: 55Among 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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81.

In a row of buses, Panjab is at 19th position from the right end. Raftaar is 23 places to the left from Panjab and is at the exact centre of row. How manybuses are between Raftaar bus and bus standing at the left end?

A.44
B.42
C.40
D.46

Answer: C

Correct answer: 40

Raftaar stands 23 places to the left of Panjab, who is 19th from the right, so Raftaar is 42nd from the right. Being at the exact centre he has equal numbers on each side, so the row holds \( 2\times42-1 = 83 \) buses and Raftaar is also 42nd from the left. Between him and the bus at the left end there are then \[ 42 - 2 = \mathbf{40} \] buses.

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82.

Which is the third number to the left of the number which is exactly in the middle of the following sequence of numbers?

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

Answer: B

Correct answer: 4

The sequence has 27 numbers, so the middle one is the 14th, which is 9. Counting three places to its left brings us to the 11th number, 4.

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83.

517 325 639 841 792

What will be the first digit of the second highest number after the positions of only the 2nd, 3rd digits within each number are interchanged?

Answer: C

Correct answer: 7

Interchanging the second and third digit of each number gives 571, 352, 693, 814 and 729. In order these run 814, 729, 693, 571, 352, so the second highest is 729 and its first digit is 7.

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84.

Rohan ranks seventh from the top and twenty-sixth from the bottom in a class. How many students are there in the class?

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

Answer: B

Correct answer: 32

Rohan is counted from both ends, so the class holds \[ 7 + 26 - 1 = \mathbf{32} \] students.

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85.

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?

A.20th and 24th
B.24th and 20th
C.25th and 21st
D.None of these

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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86.

In a class, seven students are standing in a row. Q is standing left to R but right to P. O is standing right to N and left to P. Similarly, S is standing right to R and left to T. Find out who is standing in the middle ?

Answer: A

Correct answer: Q

Taking the conditions in turn: N, O, P in that order; then P, Q, R; then R, S, T. Joining them gives the single row N O P Q R S T, and the middle of seven is the fourth place - Q.

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87.

In a row of boys, Punit’s position from the left end is 33rd and Ankit’s position from the right end is 25th. After interchanging their position, Punit’s position becomes 45th from the left end. How many boys are there in the row?

A.70
B.71
C.69
D.74

Answer: C

Correct answer: 69

After the exchange Punit stands 45th from the left, which was Ankit’s place - so Ankit was 45th from the left and 25th from the right: \[ 45 + 25 - 1 = \mathbf{69} \]

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88.

Nitin ranks 18th in a class of 49 students. What is rank from the last ?

A.31
B.18
C.32
D.19

Answer: C

Correct answer: 32

In a class of 49, a rank of 18 from the top is \[ 49 - 18 + 1 = \mathbf{32} \] from the last.

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89.

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?

A.40
B.44
C.50
D.55

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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90.

If it is possible to form a number with the second, the fifth and the eighth digits of the number 31549786, which is the perfect square of a two - digit even number, which of the following will be the second digit of that even number ?

A.1
B.4
C.6
D.None of these

Answer: B

The 2nd, 5th and 8th digits of the number 31549786 are 1, 9 and 6 respectively.

The perfect square of a two - digit even number, formed using the digits 1, 9 and 6 is 196.

And, 14 x 14 = 196

So, the required even number is 14. Clearly, its second digit is 4.

Hence, the answer is (b).

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