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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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?
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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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 ?
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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If the positions of the first and the third digit within each number are interchanged, which of the following will be the third digit of the second lowest number ?
987, 514, 658, 487, 404, 269
Answer: D
According to the question, after the position of the first and third digit interchanged new numbers are
789, 415, 856, 784, 404, 962
962, 856, 789, 784, 404, 415
Here the second lowest number is 404 and the last digit of it is '4'.
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What should come next in the following number series?
9 8 7 6 5 4 3 2 1 8 7 6 5 4 3 2 1 7 6 5 4 3 2 1
Answer: D
Correct answer: 6
The series counts down to 1 and then starts again one lower each time: 9 to 1, then 8 to 1, then 7 to 1. The next block therefore begins at 6.
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Which of the following is fifth to the right of the twelth digit from the right end of the below arrangement?
1 8 5 9 4 7 1 2 5 8 3 6 5 9 2 7 6 4 5 2 9 2 6 4 1 2 3 5 1 4 2 8 3
Answer: A
Correct answer: 3
The arrangement holds 33 digits, so the twelfth from the right end is the \( 33-12+1 = 22 \)nd from the left, which is 2. Counting five places to its right lands on the 27th digit, 3.
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