Number, Ranking and Time Sequence Test Questions and Answers

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).

Answer: B

Gagan is 73rd from the left and 79th from the right, so the row has 73 + 79 - 1 = 151 students. The student is counted once in each position, which is why one is subtracted.

\[ 73 + 79 - 1 = 151 \]

The options 152, 153 and 154 are what one gets by counting Gagan twice or adding extra students. Counting the places to the left (72) and to the right (78) of Gagan and then adding Gagan himself gives 72 + 78 + 1 = 151, which checks the answer.

Answer: C

The statement that is false is 'Kisan is taller than Jason'. Putting the given facts in order: Kisan is shorter than Sarim and taller than Prajwal; Sarim is shorter than Jason; Jason is shorter than Urvasi. Together this gives Urvasi > Jason > Sarim > Kisan > Prajwal.

So Urvasi is the tallest, Prajwal is the shortest and Sarim is shorter than Urvasi, which makes the first, second and fourth statements true. Kisan stands below Sarim, who stands below Jason, so Kisan is shorter than Jason and the third statement is false.

Answer: C

Two people are younger than F.

Only two people are older than D, and B and E are older than D (E is older than B, B older than D), so those two are B and E and no one else can be above D. F is younger than E, so F can only sit below D. The full order is E, B, D, F, A, C, with C the youngest and A younger than F. Those younger than F are A and C.

None, one and three do not match this order.

The key step is the sentence that only two people are older than D. Because B is older than D, and E is older than B, those two are all there is above D, so every other person, including F, must be younger than D. The statement that F is younger than E and older than A then gives the order E, B, D, F, A, C.

Answer: B

The tallest of the six is S.

From the conditions, T is shorter than R and R is shorter than S, so T < R < S. Also Q is shorter than T, and P is shorter than Q, and U has the same height as R. So the order is P < Q < T < R = U < S, which puts S at the top.

R is equal to U and below S, T is below R, and Q is shorter than T, so R, T and Q cannot be the tallest.

It helps to write the inequalities as a chain: P < Q < T < R = U < S. Everyone is placed between P at the bottom and S at the top, so S is clearly the tallest and P the shortest. The information that R and U are equal does not change this, because both are still below S.

Answer: B

Sachin is 34th from the right end.

The position from the right equals the total number of students minus the position from the left, plus one. So it is 40 − 7 + 1 = 34.

The answer 33 forgets to add one, because Sachin himself is counted in both positions. 32 and 31 are further from the correct figure.

The two ranks always add up to one more than the total, because the same person is counted in both. So rank from the left plus rank from the right equals 41 here, and 41 − 7 = 34. This shortcut works for any row.