Number, Ranking and Time Sequence Test Questions and Answers

Answer: C

There are 47 girls in the row.

Mamta is 17th from the left and fourth to the right of Rita, so Rita is \(17 - 4 = 13\)th from the left. Parvati is 12 places to the right of Rita, so she is \(13 + 12 = 25\)th from the left.

Parvati is also 23rd from the right, so the total is:

\[ 25 + 23 - 1 = 47 \]

One is subtracted because Parvati is counted in both positions. The other totals come from miscounting one of the positions or forgetting to subtract the shared place.

Answer: C

His rank from the top stays 14th. Rank from the top counts only the students placed above him. New students are added at the bottom of the list, below him, so none of them goes above Sanjiv and the number of students ahead of him is unchanged at 13. The class size rises from 37 to 46, which changes his rank from the bottom (it was \(37 - 14 + 1 = 24\) and becomes 33), but not his rank from the top. The answers 12th, 13th and 15th would need a student to leave from, or join, the part of the list above him, and the question says nothing of the kind.

Answer: A

Fourteen more singers are needed. A singer who is 19th from the top and 38th from the bottom stands in a group of \(19 + 38 - 1 = 56\) singers, because that singer is counted in both ranks. To make the group 70 the number to add is \[ 70 - 56 = 14 \] so 14 more are needed. The options 16 and 18 overshoot the gap, and 10 leaves the group at 66. If the question were read as asking for the group itself, the answer would be 56, which is not offered, so the question is read as the number to be added, which the key confirms.

Answer: A

The number of people in a row is the position from the front plus the position from the back minus one, because the person himself is counted in both positions.

\[ 15 + 25 - 1 = 39 \]

Adding the two positions without subtracting one would give 40, which counts Suresh twice and is the usual wrong answer, and 38 would subtract two. There is no reason to subtract more than the one person who is counted twice. So the queue had 39 people, which is the first option.

Answer: C

The position from the back is the total number of people minus the position from the front, plus one, because the person's own place is counted in both positions.

\[ 65 - 30 + 1 = 36 \]

So Rakesh is 36th from the back. The value 35 (65 minus 30) is the usual slip, and it is not offered, and 34 and 33 and 31 come from subtracting more than needed. Check: the 29 people in front of him, himself, and the 35 behind him make 29 + 1 + 35 = 65, and he is 36th counting from the back since there are 35 people behind him.

Answer: D

Dhruv's earlier position from the right end was 21st. After moving 5 places to the left he is 7th from the left, so before moving he was 7 + 5 = 12th from the left. In a row of 32, the position from the right is 32 - 12 + 1 = 21. The other options, 20th, 22nd and 19th, come from miscounting the shift or from leaving out the +1 in the formula. The count from the left was 7 after the move, so before the move he was 5 places further right, at 12th from the left. In a row of 32 the position from the right is 32 minus 12 plus 1, which is 21. Stopping at 32 minus 12 = 20 forgets to count his own place.

Answer: B

Dhruvika is the second shortest. Order the five models from shortest (first on the ramp) to tallest. Navya is fourth and shorter than Aditi, so Aditi is fifth. Neither Dhruvika nor Chanchal is first, so Gauri is first. That leaves places two and three for Dhruvika and Chanchal, and Dhruvika walked earlier than Chanchal, so Dhruvika is second and Chanchal third. The order is Gauri, Dhruvika, Chanchal, Navya, Aditi, and the second shortest is Dhruvika.

Answer: D

There are 40 students in the row. Harpal is 27th from the left. After the exchange he stands where Sanju stood, and is then 29th from the left, so Sanju's original place is 29th from the left and 12th from the right. Total students = 29 + 12 - 1 = 40. The 1 is subtracted because that student is counted from both ends. The other totals do not satisfy this: with 38, 39 or 41 students the 29th place from the left would be 10th, 11th or 13th from the right, not 12th.

Answer: C

Rajiv is standing last. From the clues: Omkar is taller than Manish but shorter than Rajiv, so Manish is shorter than Omkar, who is shorter than Rajiv. Navi is taller than Manish but shorter than Omkar, so Manish is shorter than Navi, who is shorter than Omkar. Pankaj is shorter than Manish. Putting them together, the order from shortest to tallest is Pankaj, Manish, Navi, Omkar, Rajiv. Rajiv is the tallest and so stands last. Omkar is second from the end, Navi is third from the end, and Pankaj stands first, so those three cannot be the last person.

Answer: D

If Kabir is 27th from the top and 28th from the bottom, then 26 students are above him and 27 are below him. The class is made of those two groups together with Kabir himself, so the number of students is 26 + 1 + 27 = 54. The same result comes from the rule that the total equals the sum of the two ranks minus one, 27 + 28 - 1 = 54. The values 56 and 55 come from adding the ranks without subtracting Kabir's place twice, and 53 subtracts one place too many. The answer is 54, option (D).