Hard

The Other Side of Zero — Hard

15 questions 18 min PYQ-grade reasoning

Q1. Consider the three statements about the sum (−5) + (−30): I. The result is a negative number. II. The result is −35. III. The result equals (−30) + (−5). Which of the following is correct?
- A. I and II only.
- B. II and III only.
- C. I and III only.
- D. All three.
Q2. Evaluate (+4) + (−3) + (−2) by combining button presses in any order.
- A. −1
- B. +1
- C. −5
- D. +9
Q3. Evaluate (−1) + (+2) + (−3).
- A. +4
- B. +2
- C. 0
- D. −2
Q4. Assertion (A): For every integer n, the sum n + (−n) is zero. Reason (R): The number −n is called the additive inverse of n.
- A. Both A and R are true, and R is the correct explanation of A.
- B. Both A and R are true, but R is NOT the correct explanation of A.
- C. A is true, R is false.
- D. A is false, R is true.
Q5. Three statements about integer comparison: I. −10 > −12. II. +9 > −9. III. 0 > −20. Which are correct?
- A. I and II only.
- B. II and III only.
- C. I and III only.
- D. All three.
Q6. If the Target Floor is −1 and the Starting Floor is −2, what button press is needed?
- A. −1.
- B. +1.
- C. −3.
- D. +3.
Q7. If the Target Floor is −1 and the Starting Floor is +3, what button press is needed?
- A. +4.
- B. +2.
- C. −4.
- D. −2.
Q8. If the Target Floor is +2 and the Starting Floor is −2, what is the button press needed?
- A. 0.
- B. −4.
- C. +2.
- D. +4.
Q9. Use an unmarked number line picture to evaluate 85 + (−60).
- A. +145
- B. +25
- C. −25
- D. −145
Q10. Imagine an 'infinite lift' with 2000 levels above ground and 200 levels below. Evaluate (+2000) − (−200).
- A. +1800
- B. +2200
- C. −2200
- D. −1800
Q11. Using the token model, evaluate (+5) + (−8). How many zero pairs can be removed and what is the result?
- A. 5 zero pairs removed; result +3.
- B. 5 zero pairs removed; result −3.
- C. 8 zero pairs removed; result +13.
- D. 0 zero pairs removed; result −40.
Q12. Using the token model, evaluate (+4) − (−6). How many zero pairs must be added before you can take 6 negatives away?
- A. 0; the result is +4.
- B. 4; the result is −2.
- C. 6; the result is +10.
- D. 10; the result is −6.
Q13. You open a bank account with ₹100, receive credits of ₹30 and ₹40, and pay debits of ₹50 and ₹60. What is your bank balance now?
- A. +₹60
- B. +₹160
- C. +₹50
- D. −₹40
Q14. Assertion (A): (−2) + (−3) = −5. Reason (R): To add two negatives, add the numbers without signs and place a minus sign before the result (Brahmagupta's rule).
- A. Both A and R are true, and R is the correct explanation of A.
- B. Both A and R are true, but R is NOT the correct explanation of A.
- C. A is true, R is false.
- D. A is false, R is true.
Q15. Assertion (A): 2 − (−3) = 2 + 3 = 5. Reason (R): Subtracting a negative number is the same as adding the corresponding positive number (Brahmagupta, 628 CE).
- A. Both A and R are true, and R is the correct explanation of A.
- B. Both A and R are true, but R is NOT the correct explanation of A.
- C. A is true, R is false.
- D. A is false, R is true.

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