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Number, Ranking and Time Sequence Test Questions and Answers

Important Instructions
21.

Roshan is taller than Hardik who is shorter than Susheel. Niza is taller than Harry but shorter than Hardik. Susheel is shorter than Roshan. Who is the tallest?

Exam Year(s)

HPPSC HPAS - 2021,

Answer: A

The tallest is Roshan.

Write the statements as inequalities:

  • Roshan > Hardik, and Susheel > Hardik;
  • Hardik > Niza > Harry;
  • Roshan > Susheel.

Combining them gives Roshan > Susheel > Hardik > Niza > Harry, so Roshan is taller than everyone else.

Susheel is the trap: he is taller than Hardik, but the last statement puts him below Roshan. Hardik is in the middle, and Harry is the shortest of all.

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22.

Ram Kumar ranked 16th from the top and 21st from the bottom in his class in an examination. If only 21 students passed the exam, how many students failed ?

Exam Year(s)

HPPSC HPAS - 2025,

Answer: A

15 students failed.

Ram Kumar is 16th from the top and 21st from the bottom, so the number of students in the class is:

\[ 16 + 21 - 1 = 36 \]

One is subtracted because Ram Kumar is counted in both rankings. With 21 passing, \(36 - 21 = 15\) failed.

Forgetting to subtract 1 gives 37 students and 16 failures, the most common distractor.

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23.

Consider the following sequence of numbers:

6 9 2 2 2 6 8 9 1 3 7 5 2 6 7 6 7 7 5 2 9 1 6 4 6 3 9 8.

How many odd numbers are followed by another odd number in the sequence?

Exam Year(s)

Haryana Civil Services - 2026, HPSC - 2026,

Answer: C

8 odd numbers are followed by another odd number.

Walk through the sequence 6 9 2 2 2 6 8 9 1 3 7 5 2 6 7 6 7 7 5 2 9 1 6 4 6 3 9 8 and mark each adjacent odd-odd pair:

  • 9 1, 1 3, 3 7, 7 5 (four pairs in the run 9 1 3 7 5)
  • 7 7, 7 5 (two pairs in the run 7 7 5)
  • 9 1 (one pair)
  • 3 9 (one pair)

That is 4 + 2 + 1 + 1 = 8. A run of k consecutive odd numbers contributes k − 1 pairs, which is a quick way to count. Missing the pairs inside the run 7 7 5 gives 6.

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24.

Which of the following is/are correct?

1. If P is taller than Q, and Q is shorter than R, then P must be the tallest among the three.
2. If X runs faster than Y, and Y runs as fast as Z, then X runs faster than Z.

Select the answer using the codes given below:

Exam Year(s)

Haryana Civil Services - 2026, HPSC - 2026,

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.

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25.

In a row of 60 students, Ramesh is 36th from the left side and Mahesh is 32nd from the right side. Find the total number of students between them.

Exam Year(s)

ISRO Assistant - 2023,

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.

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26.

In a college there are 150 students, the ratio of male to female student is 1 : 5. Saranya is a girl who stands 22nd from the top of that row and 5 girls are in front of her then how many are girls are behind her?

Exam Year(s)

ISRO Assistant - 2023,

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.

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27.

Among P, Q, R, S and T, each of them are of different weight. R's weight is more than only three persons. Q's weight is more than S but less than R. S is not the lightest person. Q is not lighter than S. S is heavier than T. Who among them is the heaviest person?

Exam Year(s)

ISRO Assistant - 2023,

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.

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28.

Four friends - Suresh, Fathima, Vijay and Maria have different heights. Fathima is shorter than Vijay. The only person shorter than Suresh is Maria. Who among them is highest ?

Exam Year(s)

Kerala PSC KAS - 2020,

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.

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29.

Sandhya's birthday falls on 15th August and Minu's birthday falls on 25th June. If Minu's birthday was on Wednesday, what was the day on Sandhya's birthday in the same year?

Answer: A

Correct answer: Friday

From 25 June to 15 August is \( 5 + 31 + 15 = 51 \) days. Since \( 51 = 49 + 2 \), the day moves on by two from Wednesday, giving Friday.

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30.

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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