In a row of boys, Rahul is 19th from top and Ajay is 21st from bottom. They interchange their position. Ajay now becomes 28th from bottom. Howmany total boys are there in the row?
Answer: B
Correct answer: 46
After the exchange Ajay stands where Rahul stood, and he is then 28th from the bottom - so Rahul’s place was 28th from the bottom and 19th from the top: \[ 28 + 19 - 1 = \mathbf{46} \]
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In a row of books a book of English is 16th from left end of row. A book of Mathematics is 12th from the right end. If the Mathematics book is 6th to the right of the English book, then how many total books are in the row?
Answer: A
Correct answer: 33
The mathematics book is six places to the right of the English book, which is 16th from the left, so it stands 22nd from the left. It is also 12th from the right: \[ 22 + 12 - 1 = \mathbf{33} \]
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In a row of boys, Tarak is 18th from either end. How many boys are there in the row?
Answer: C
Correct answer: 35
Tarak is counted from both ends, so the row holds \[ 18 + 18 - 1 = \mathbf{35} \] boys.
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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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In the following question, select the odd number pair from the given alternatives.
Answer: D
Correct answer: 6 : 34
In each pair the second number is the square of the first plus two: \( 4^2+2 = 18 \), \( 7^2+2 = 51 \), \( 9^2+2 = 83 \). For 6 the rule gives \( 6^2+2 = 38 \), not 34 - so 6 : 34 is the odd pair.
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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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The weights of 4 boxes are 20, 30, 50 and 70 kilograms. Which of the following cannot be the total weight, in kilograms, of any combination of these boxes and in a combination a box can be used only once?
Answer: B
Correct answer: 160
The possible totals are the four weights singly (20, 30, 50, 70), in pairs (50, 70, 80, 90, 100, 120), in threes (100, 120, 140, 150) and all together (170). 160 appears nowhere among them, so it cannot be made.
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In the English alphabet, which letter is 13th from right end?
Answer: C
Correct answer: N
There are 26 letters, so the 13th from the right end is the \[ 26 - 13 + 1 = 14 \text{th from the left} \] which is N.
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In a row of 74 girls, Shweta is 27th from left end. Palak is 7th to the right of Shweta. What is Palak's position from the right end of the row?
Answer: B
Correct answer: 41
Palak stands seven places to the right of Shweta’s 27th, so she is 34th from the left. In a row of 74 that makes her \[ 74 - 34 + 1 = \mathbf{41} \text{st from the right} \]
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A gets more marks than B but less than C. D gets less marks than E but more than A. If C gets less than D then who amongst A, B, C, D, E gets the highest marks?
Answer: C
Correct answer: E
Putting the comparisons together: \( \mathrm{C} > \mathrm{A} > \mathrm{B} \), \( \mathrm{D} > \mathrm{A} \), \( \mathrm{E} > \mathrm{D} \) and \( \mathrm{D} > \mathrm{C} \). So the order is \[ \mathrm{E} > \mathrm{D} > \mathrm{C} > \mathrm{A} > \mathrm{B} \] and E has the highest marks.
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