Number, Ranking and Time Sequence Test Questions and Answers

Q: If it is possible to make a number which is the square of a two-digit odd number using the second, the fourth and the sixth digits of the number 93217648 and using each only once, which of the following is that two-digit odd number?

Correct answer: 19The second, fourth and sixth digits of 93217648 are 3, 1 and 6. Arranged as 361 they give \( 19^2 \), and 19 is a two-digit odd number - so the number whose square can be formed is 19.

Q: The position of the first and the second digits in the numbers 94316875 are interchanged. Similarly, the positions of the third and fourth digits are interchanged and so on. Which of the following will be the third to the left of the seventh digit from the left end after the rearrangement?

Correct answer: None of theseInterchanging the digits in pairs turns 94316875 into 49138657. The seventh digit from the left is then 5, and the third place to its left is the fourth digit, 3 - which is not among the choices offered, so the answer is none of these.

Q: How many such 5s are there in the following number sequence each of which is immediately preceded by 3 or 4 but not immediately followed by 8 or 9? 3 5 9 5 4 5 5 3 5 8 4 5 6 7 3 5 7 5 5 4 5 2 3 5 1 0

Correct answer: FiveFive 5s have a 3 or a 4 immediately before them and something other than 8 or 9 after them - the 5s at the sixth, twelfth, sixteenth, twenty-first and twenty-fourth places. The rest are ruled out either by what precedes them or by an 8 or 9 following. So the answer is five.

Q: If Atul finds that he is twelfth from the right in a line of boys and forth from the left, how many boys should be added to the line such that there are 28 boys in the line ?

Correct answer: 13Atul is 4th from the left and 12th from the right, so the line already holds \( 4 + 12 - 1 = 15 \) boys. To bring it to 28, \[ 28 - 15 = \mathbf{13} \] more must be added.

Q: In a queue, Amrita is 10th from the front while Mukul is 25th from behind and Mamta is just in the middle of the two. If there be 50 persons in the queue. What position does Mamta occupy from the front ?

Correct answer: 18thMukul is 25th from behind in a queue of 50, so he is \( 50-25+1 = 26 \)th from the front. Mamta stands midway between the 10th and the 26th place: \[ \frac{10+26}{2} = \mathbf{18} \text{th} \]

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.

Important Instructions

91.

If it is possible to make a number which is the square of a two-digit odd number using the second, the fourth and the sixth digits of the number 93217648 and using each only once, which of the following is that two-digit odd number?

A.17
B.19
C.15
D.21

Answer: B

Correct answer: 19

The second, fourth and sixth digits of 93217648 are 3, 1 and 6. Arranged as 361 they give \( 19^2 \), and 19 is a two-digit odd number - so the number whose square can be formed is 19.

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92.

The position of the first and the second digits in the numbers 94316875 are interchanged. Similarly, the positions of the third and fourth digits are interchanged and so on. Which of the following will be the third to the left of the seventh digit from the left end after the rearrangement?

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

Answer: D

Correct answer: None of these

Interchanging the digits in pairs turns 94316875 into 49138657. The seventh digit from the left is then 5, and the third place to its left is the fourth digit, 3 - which is not among the choices offered, so the answer is none of these.

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93.

382 473 568 728 847 629

If 382 is written as 238, 473 as 347 and so on, then which of the following two numbers will have least difference between them?

A.473 & 382
B.629 & 728
C.629 & 847
D.728 & 847

Answer: D

The given numbers are :

382 473 568 728 847 629

When changes are made as given in the question, numbers become as follows :

238 347 856 872 784 962

Again now, find out the difference between the numbers given in options as given below:

(1) 473 - 382 => 347 - 238 = 109

(2) 629 - 728 => 962 - 872 = 90

(3) 629 - 847 => 962 - 784 = 178

(4) 728 - 847 => 872 - 784 = 88

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94.

How many such 5s are there in the following number sequence each of which is immediately preceded by 3 or 4 but not immediately followed by 8 or 9?

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

A.None
B.Three
C.Four
D.Five

Answer: D

Correct answer: Five

Five 5s have a 3 or a 4 immediately before them and something other than 8 or 9 after them - the 5s at the sixth, twelfth, sixteenth, twenty-first and twenty-fourth places. The rest are ruled out either by what precedes them or by an 8 or 9 following. So the answer is five.

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95.

If Atul finds that he is twelfth from the right in a line of boys and forth from the left, how many boys should be added to the line such that there are 28 boys in the line ?

A.12
B.13
C.14
D.20

Answer: B

Correct answer: 13

Atul is 4th from the left and 12th from the right, so the line already holds \( 4 + 12 - 1 = 15 \) boys. To bring it to 28, \[ 28 - 15 = \mathbf{13} \] more must be added.

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96.

In a queue, Amrita is 10th from the front while Mukul is 25th from behind and Mamta is just in the middle of the two. If there be 50 persons in the queue. What position does Mamta occupy from the front ?

A.14th
B.16th
C.18th
D.20th

Answer: C

Correct answer: 18th

Mukul is 25th from behind in a queue of 50, so he is \( 50-25+1 = 26 \)th from the front. Mamta stands midway between the 10th and the 26th place: \[ \frac{10+26}{2} = \mathbf{18} \text{th} \]

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97.

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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98.

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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99.

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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100.

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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