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 ?
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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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 ?
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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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?
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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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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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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Rohan ranks seventh from the top and twenty-sixth from the bottom in a class. How many students are there in the class?
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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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?
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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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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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?
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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Nitin ranks 18th in a class of 49 students. What is rank from the last ?
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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