Number, Ranking and Time Sequence Test Questions and Answers

Answer: B

2 only is correct.

Statement 1 does not follow. P is taller than Q and R is taller than Q, but nothing compares P with R, so P need not be the tallest; R could be taller than P.

Statement 2 follows. Y and Z run at the same speed, and X is faster than Y, so X is faster than Z.

The difference is that statement 2 chains through an equality, while statement 1 has both comparisons pointing at Q, which leaves P and R unordered.

Answer: C

There are 6 students between them.

Convert Mahesh's position to a count from the left:

\[ \begin{aligned} 60 - 32 + 1 &= 29\text{th from left} \\ 36 - 29 - 1 &= 6 \end{aligned} \]

Mahesh is 29th and Ramesh 36th from the left, so positions 30 to 35 lie between them: 6 students. Forgetting to subtract 1 at either step gives 7 or 8.

Answer: B

There are 119 girls behind her.

With 150 students in the ratio 1 : 5, there are 25 boys and 125 girls. Saranya has 5 girls in front of her, and she herself is a girl:

\[ 125 - 5 - 1 = 119 \]

Her overall position (22nd) is not needed, since only girls are counted. 145 counts every student except the 5 girls in front, and 150 is the whole class; 109 does not follow from the counts.

Answer: A

The heaviest person is P.

R is heavier than exactly three people, so R is second heaviest. Q is lighter than R but heavier than S, and S is heavier than T, so T is the lightest (which agrees with 'S is not the lightest'):

\[ ? > R > Q > S > T \]

The only person left for the top place is P. R is second, not first, and Q and T are lower down.

Answer: C

The tallest is Vijay.

Only Maria is shorter than Suresh, so Maria is the shortest and Suresh is second shortest. That leaves Fathima and Vijay as the two tallest, and since Fathima is shorter than Vijay, Vijay is the tallest.

The order from shortest is Maria, Suresh, Fathima, Vijay. Suresh and Maria are near the bottom, and Fathima is shorter than Vijay, so none of them can be the tallest.

Answer: B

24 students have ranks above Raju.

90% of 250 = 225 students are ranked below Raju. Raju himself is one student. So the number above him is

\[ 250 - 225 - 1 = 24 \]

25 forgets to exclude Raju himself, and 26 or 23 come from mis-adding the one. Raju's rank is therefore 25th.

Answer: D

Paul's rank is 20th.

In a class of 50, if 10 students rank below Raghu, Raghu's rank is 50 - 10 = 40th. Raghu's rank is twice Paul's, so Paul's rank is 40/2 = 20th.

The other options come from misreading Raghu's rank: 10th or 5th would follow if Raghu were 20th or 10th, which ignores the 10 students ranked below him, and 15th fits no reading.

Answer: B

Umar arrived at 9:15 a.m.

Work backwards. The meeting finished at 11:00 a.m., 30 minutes after Arvind arrived, so Arvind arrived at 10:30 a.m. He was 45 minutes late, so the meeting was scheduled to start at 9:45 a.m. Umar came 30 minutes before that time: 9:15 a.m.

9:45 a.m. is the scheduled start, not Umar's arrival. 9:00 a.m. and 9:30 a.m. result from adding or subtracting one of the intervals in the wrong direction.

Answer: B

There are 32 girls in the row.

Work from Sheela, whose position from the left is given. Sheela is 4th to the right of Rama, so Rama is 4 places to her left. Radha is 10 places to the right of Rama (Rama is 10th to the left of Radha):

\[ \begin{aligned} \text{Rama} &= 10 - 4 = 6\text{th from left} \\ \text{Radha} &= 6 + 10 = 16\text{th from left} \\ \text{Total} &= 16 + 17 - 1 = 32 \end{aligned} \]

Radha is counted in both her position from the left and from the right, so one is subtracted. Adding 16 and 17 without subtracting gives 33, a common slip, and 31 or 30 come from miscounting Rama's place.

Answer: D

His rank from the last is 43.

Rank from the top plus rank from the bottom equals the total number of students plus one, because the student himself is counted in both:

\[ 59 - 17 + 1 = 43 \]

42 is the number of students below him, 59 - 17, which forgets to count Manoj himself. 17 and 18 confuse the rank from the top with the rank from the bottom.

Check with a small case: in a class of 3, the student ranked 1st from the top is 3rd from the bottom, and 3 - 1 + 1 = 3.