Sanjeev ranks seventh from the top and twenty-eighth from the bottom in a class. How many students are there in the class ?
Answer: D
Correct answer: 34
Sanjeev is counted from both ends, so the class holds \[ 7 + 28 - 1 = \mathbf{34} \] students.
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If it was Saturday on 17th December 1982 what will be the day of 22nd December 1984?
Answer: D
Correct answer: Sunday
From 17 December 1982 to 17 December 1983 is 365 days, which moves the day on by one to Sunday. The next year contains 29 February 1984, so it is 366 days and moves it on by two more, to Tuesday. From 17 to 22 December is five days further: Tuesday + 5 = Sunday.
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How many even numbers are there in the following sequence of numbers which are immediately followed by an odd number as well as immediately preceded by an even number?
8 5 8 6 7 6 8 9 3 2 7 5 3 4 2 2 3 5 5 2 2 8 1 1 9 3 1 7 5 1
Answer: C
Correct answer: 4
Running through the row and keeping only those even numbers that have an even number immediately before them and an odd number immediately after them, four qualify; the rest fail on one side or the other.
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In a row of boys, If A who is 10th from the left and B who is 9th from the right interchange their positions, A becomes 15th from the left. How many boys are there in the row ?
Answer: A
Correct answer: 23
After the exchange A stands where B stood, and A is then 15th from the left - so B was 15th from the left. B is also 9th from the right, so the row holds \[ 15 + 9 - 1 = \mathbf{23} \] boys.
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In the following series of numbers, howmany 1, 3, 7 have appeared together. 7 being in middle and 1, 3 on either side of ??
2 9 7 3 1 7 3 7 7 1 3 3 1 7 3 8 5 7 1 3 7 7 1 7 3 9 0 6
Answer: C
Correct answer: 3
We want a 7 with a 1 on one side and a 3 on the other. Three such groups occur - the 1 7 3 at the fifth to seventh places, the 1 7 3 at the thirteenth to fifteenth, and the 1 7 3 at the twenty-third to twenty-fifth. So the answer is 3.
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Some boys are sitting in a row. P is sitting fourteenth from the left and Q is seventh from the right. If there are four boys between P and Q, how many boys are there in the row ?
Answer: C
Correct answer: 25
P is 14th from the left, four boys stand between him and Q, and Q is 7th from the right: \[ 14 + 4 + 7 = \mathbf{25} \]
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Some boys are sitting in a row. P is sitting fourteenth from the left and Q is seventh from the right. If there are four boys between P and Q, how many boys are there in the row?
Answer: A
Correct answer: 25
P is 14th from the left, four boys stand between him and Q, and Q is 7th from the right, so the row holds \[ 14 + 4 + 7 = \mathbf{25} \] boys.
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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 were 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 Amrita at 10 and Mukul at 26: \[ \frac{10 + 26}{2} = \mathbf{18} \text{th from the front} \]
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Sam ranked 9th from the top and 38th from the bottom in a class. How many students are there in the class ?
Answer: C
Correct answer: 46
Sam is counted from both ends, so the class holds \[ 9 + 38 - 1 = \mathbf{46} \] students.
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In a row of trucks, Ashok is at 17th position from the left end. Bharat is 19 places to the right from Ashok and is at the exact centre of the row. How many trucks are there to the right of Ashok truck?
Answer: B
Correct answer: 54
Bharat stands 19 places right of Ashok’s 17th place, so Bharat is 36th from the left. Being at the exact centre, he has as many trucks on each side, so the row holds \( 2 \times 36 - 1 = 71 \). To Ashok’s right there are then \[ 71 - 17 = \mathbf{54} \]
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