Question types

Integers question types

287 questions across 7 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.

287
Questions
7
Question groups
5
Question types
Sample Questions

Integers questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Assertion (A): $(a \div b) \div c \neq a \div(b \div c)$ for all integers $a, b$ and $c$.
Reason (R):
Division on integers is not associative.
  • A
    Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
  • B
    Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
  • C
    Assertion (A) is true but Reason (R) is false.
  • Assertion (A) is false but Reason (R) is true.

Answer: D.

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Assertion (A): For any three integers $a, b, c$, we have $a \times(b+c)=(a \times b)+(a \times c)$.
Reason (R): The associative law of multiplication holds for integers.
  • A
    Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
  • Both Assertion (A) and Reason (R) are true and Reason(R) is not the correct explanation of Assertion (A).
  • C
    Assertion (A) is true but Reason (R) is false.
  • D
    Assertion (A) is false but Reason (R) is true.

Answer: B.

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Assertion ( A ): (-7)+(-3)=-10)
Reason (R): If the sum of two integers is negative then both the integers must be negative.
  • A
    Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
  • B
    Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
  • Assertion (A) is true but Reason (R) is false.
  • D
    Assertion (A) is false but Reason (R) is true.

Answer: C.

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Assertion (A): Consider the integers -6 and +7, we have $-6-(+7)=-6-7=-13$
Reason (R): The difference between two integers with opposite signs is always negative.
  • A
    Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
  • B
    Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
  • Assertion (A) is true but Reason (R) is false.
  • D
    Assertion (A) is false but Reason (R) is true.

Answer: C.

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Assertion (A): The multiplicative inverse of -3 is $\frac{1}{-3}$.
Reason (R): $(-3) \times\left(-\frac{1}{3}\right)=1$.

  • Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
  • B
    Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
  • C
    Assertion (A) is true but Reason (R) is false.
  • D
    Assertion (A) is false but Reason (R) is true.

Answer: A.

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Vibhor has a keen interest to invest in the share market. His investment consultant advised him to study the fluctuations in the values of certain shares over a period of 5 days. Vibhor found that on July 1, the price of one share of ABC company was ₹3735.
Q.1. On July 2, the price of the share increased by ₹ 147. What was the price of each share of ABC company on July 2?
(a) ₹3582$\quad$(b) ₹3872$\quad$(c)  ₹3882$\quad$(d) ₹3588
Q.2. On July 3, the share opened 27 below the previous day closing and again slipped by ₹9 by the end of the day. At what price did the share close on July 3?
(a) ₹3900 $\quad$(b) ₹3864$\quad$(c)₹ 3873 $\quad$(d) ₹3846
Q.3. On July 4, the share opened 128 above the previous day closing but again went down by ₹76 by the end of the day. What was the price of each share of ABC company at the end of the day on July 4?
(a) ₹3898$\quad$(b) ₹4050$\quad$(c) ₹3642$\quad$(d) ₹3787
Q.4. On July 5, the price of the share jumped ₹291 when the market opened. It rose further by ₹66 by the end of the day. What was the price of the share at the end of the day on July 5?
(a) ₹4123$\quad$(b) ₹3673$\quad$(c) ₹3541 $\quad$(d) ₹4255
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Sameer arranged a vacation to Thailand with his children during their holidays. They were all excited to go scuba diving on the Coral Islands. Sameer dived 43 feet to reach the brain coral upon the directions of his instructor. He then rose by 18 feet to reach an underwater cave.
Q.1. What is the depth of the underwater cave?
(a) 18 feet$\quad$(b) 61 feet$\quad$(c) 25 feet$\quad$(d) 43 feet
Q.2. Sameer again dived 56 feet to reach the base of the reef. What is the depth of the reef?
(a) 56 feet$\quad$(b) 74 feet $\quad$(c) 99 feet $\quad$(d) 81 feet
Q.3. From the base of the reef, Sameer ascended 29 feet and reached a ridge. How deep is the ridge with respect to sea level?
(a) 52 feet$\quad$(b) 110 feet$\quad$(c) 85 feet$\quad$(d) 95 feet
Q.4. A whale passed at a depth of 23 feet from the sea level. How far was the whale from the ridge?
(a) 23 feet$\quad$(b) 81 feet$\quad$(c) 29 feet$\quad$(d) 52 feet
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