Mathematical Reasoning

JKSSB Assistant Training Officer (Handicrafts & Handlooms) · Reasoning · 79 practice questions with answers and explanations: 41 Easy, 38 Medium, 0 Hard.

Sample questions

Sample Easy question 1

If P means '×' and Q means '+', what is the value of 5 P 9 Q 3?

  1. 51
  2. 47
  3. 48
  4. 49
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Answer: C. Replace P by × and Q by +: 5 × 9 + 3, and evaluating by BODMAS gives 48.

Sample Easy question 2

If a * b = a × b − a, what is the value of 7 * 7?

  1. 43
  2. 42
  3. 41
  4. 56
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Answer: B. Substitute a = 7, b = 7 into a × b − a: 42.

Sample Easy question 3

If '+' stands for '−', '−' stands for '×' and '×' stands for '+', what is the value of 16 + 4 − 6 × 5?

  1. −2
  2. 77
  3. 11
  4. −3
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Answer: D. Replace the symbols: 16 − 4 × 6 + 5. By BODMAS = 16 − 24 + 5 = −3.

Sample Medium question 4

If all Pens are Pencils, and some Pencils are Erasers, which conclusion is definitely valid?

  1. No valid conclusion about Pens and Erasers can be drawn
  2. All Erasers are Pens, as every Pencil is a Pen
  3. All Pens are Erasers, as every Pencil is an Eraser
  4. Some Pens are Erasers, as some Pencils are Erasers
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Answer: A. Since only 'some' Pencils are Erasers, and we don't know if Pens fall into that overlapping subset, no definite conclusion links Pens and Erasers.

Sample Medium question 5

In a certain code, if TRAIN is coded as 23, and each letter's position in the alphabet is summed then digits added until a single digit remains, what is the code for CAB?

  1. 6
  2. 8
  3. 7
  4. 9
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Answer: A. C=3, A=1, B=2; sum = 6, already a single digit, so the code is 6.

Sample Medium question 6

If the statement 'No cats are dogs' is true, which of these must also be true?

  1. All dogs are cats
  2. All cats are dogs
  3. No dogs are cats
  4. Some cats are dogs
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Answer: C. 'No cats are dogs' is a universal negative statement, and such statements are logically reversible: 'No dogs are cats' is equally true.

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