Understanding Integers: MCQ test, Set 1

Download the PDF (with key sheet and solutions, 73.9 KB)

Choose one answer for each question, then check your score at the end. Each correct answer carries 1 mark; there is no negative marking.

Starting at $12$ , Rahul makes $18$ jumps of $1$ to the left on the number line. Rahul lands on
A $-5$ B $-6$ C $30$ D $-7$

Answer and solution

Answer: (B) $-6$

Jumps to the left subtract.

$12 - 18 = -(18 - 12) = -6$
The integers between $-3$ and $4$ are
A $-2, -1, 1, 2, 3$ B $-3, -2, -1, 0, 1, 2, 3, 4$ C $-1, 0, 1, 2, 3$ D $-2, -1, 0, 1, 2, 3$

Answer and solution

Answer: (D) $-2, -1, 0, 1, 2, 3$

Leave out $-3$ and $4$ themselves, and do not miss $0$ .

$-2, -1, 0, 1, 2, 3$
In $-84 - 18 = -(\square)$ , the number in the box is
A $102$ B $92$ C $112$ D $66$

Answer and solution

Answer: (A) $102$

Same signs: add the numbers and keep the $-$ sign.

$-84 - 18 = -(84 + 18) = -(102)$
$-27 - 28$ equals
A $-1$ B $-45$ C $-55$ D $-65$

Answer and solution

Answer: (C) $-55$

Both are negative: add and keep the $-$ sign.

$-27 - 28 = -(27 + 28) = -55$
In $-45 + 28 = -(\square)$ , the number in the box is
A $17$ B $23$ C $27$ D $73$

Answer and solution

Answer: (A) $17$

Different signs: subtract the smaller from the bigger; the bigger is negative, so the answer is negative.

$-45 + 28 = -(45 - 28) = -(17)$
$-19 + 94$ equals
A $75$ B $85$ C $65$ D $113$

Answer and solution

Answer: (A) $75$

Different signs: subtract the smaller from the bigger and keep the sign of the bigger.

$-19 + 94 = +(94 - 19) = 75$
The sum of $-25$ and $72$ is
A $53$ B $97$ C $57$ D $47$

Answer and solution

Answer: (D) $47$

This is $-25 + 72$ .

$-25 + 72 = +(72 - 25) = 47$
The value of $-2239 + 646$ is
A $-1593$ B $-2413$ C $-2693$ D $-2885$

Answer and solution

Answer: (A) $-1593$

Different signs: subtract and keep the sign of the bigger number.

$-2239 + 646 = -(2239 - 646) = -1593$
A trader gained ₹924 on one deal and lost ₹3429 on another. Altogether this is
A a profit of ₹2505 B a loss of ₹3505 C a loss of ₹2505 D a loss of ₹4353

Answer and solution

Answer: (C) a loss of ₹2505

Gain $= +924$ , loss $= -3429$

$924 - 3429 = -(3429 - 924) = -2505$

A loss of ₹2505.
Divya worked out $3704 - 237$ and got $3577$ , which is wrong. The correct answer is
A $3467$ B $3533$ C $3468$ D $3466$

Answer and solution

Answer: (A) $3467$

Subtract column by column from the units. When you borrow, take the $1$ away from the next column.

$3704 - 237 = 3467$
Subtract $3958$ from $76205$ . The answer is
A $72248$ B $73357$ C $72247$ D $73753$

Answer and solution

Answer: (C) $72247$

Subtract column by column from the units, borrowing where the top digit is smaller.

$76205 - 3958 = 72247$
$-836 - 4349 =$
A $-5195$ B $-5185$ C $-3513$ D $-4175$

Answer and solution

Answer: (B) $-5185$

Both are negative: add and keep the $-$ sign.

$-836 - 4349 = -(836 + 4349) = -5185$
The value of $-225 + 134$ is
A $-111$ B $-359$ C $-191$ D $-91$

Answer and solution

Answer: (D) $-91$

$-225 + 134 = -(225 - 134)$

$225 \to 200 \to 134$ : $25 + 66 = 91$

So the answer is $-91$
$-232 + 882 - 87 + 536 =$
A $1737$ B $1563$ C $27$ D $1099$

Answer and solution

Answer: (D) $1099$

Add the positive terms, add the negative terms, then subtract.

$-232 + 882 - 87 + 536 = 1418 - 319$ $= 1099$
In $386 - 837 + 16 - 64$ , the total of the positive terms and the total of the negative terms (without the sign) are
A $402$ and $911$ B $402$ and $901$ C $1239$ and $64$ D $386$ and $917$

Answer and solution

Answer: (B) $402$ and $901$

Positive terms: $386 + 16 = 402$

Negative terms: $837 + 64 = 901$
The value of $9739 + 4623 - 2795$ is
A $17157$ B $11577$ C $11567$ D $2321$

Answer and solution

Answer: (C) $11567$

Positive terms: $9739 + 4623 = 14362$

Negative term: $2795$

$9739 + 4623 - 2795 = 14362 - 2795$ $= 11567$
$21 \times -11 =$
A $-242$ B $-231$ C $-32$ D $10$

Answer and solution

Answer: (B) $-231$

Sign: $+ \times - = -$

$21 \times 11 = 231$ , so $21 \times -11 = -231$
Which of these equals $56$ ?
A $-52 - 4$ B $-8 \times -7$ C $-2 \times 28$ D $21 - 77$

Answer and solution

Answer: (B) $-8 \times -7$

$-8 \times -7$ : $- \times - = +$ , so it is $56$

The others are all $-56$ : $-2 \times 28$ is $- \times +$ , and the two additions give $-(52 + 4)$ and $-(77 - 21)$ .
Without working it out, the product $-56 \times 82$ is
A zero B positive C positive, because the bigger number decides D negative

Answer and solution

Answer: (D) negative

$- \times + = -$

So the product is negative.
$-538 \times -67$ equals
A $6994$ B $35946$ C $36046$ D $36146$

Answer and solution

Answer: (C) $36046$

Sign: $- \times - = +$

$538 \times 7 = 3766$ , $538 \times 60 = 32280$ , $3766 + 32280 = 36046$

So $-538 \times -67 = 36046$
$-91 \times -29 =$
A $2539$ B $1001$ C $2739$ D $2639$

Answer and solution

Answer: (D) $2639$

Sign: $- \times - = +$

$91 \times 9 = 819$ , $91 \times 20 = 1820$ , $819 + 1820 = 2639$

So $-91 \times -29 = 2639$
$\displaystyle \frac{-62612}{-4} =$
A $15643$ B $15663$ C $156530$ D $15653$

Answer and solution

Answer: (D) $15653$

$\displaystyle \frac{-}{-} = +$

$6 \div 4 = 1$ r $2$ ; $22 \div 4 = 5$ r $2$ ; $26 \div 4 = 6$ r $2$ ; $21 \div 4 = 5$ r $1$ ; $12 \div 4 = 3$

So $\displaystyle \frac{-62612}{-4} = 15653$
Which of the following is NOT negative?
A $\displaystyle \frac{189}{-7}$ B $\displaystyle \frac{-354}{-6}$ C $\displaystyle \frac{-378}{6}$ D $\displaystyle \frac{-32}{4}$

Answer and solution

Answer: (B) $\displaystyle \frac{-354}{-6}$

$\displaystyle \frac{-}{-} = +$ while $\displaystyle \frac{+}{-}$ and $\displaystyle \frac{-}{+}$ are $-$ .

$\displaystyle \frac{-354}{-6} = 59$
Which one has a positive result?
A $-26 \times -22$ B $\displaystyle \frac{-196}{7}$ C $8 \times -28$ D $-13 - 35$

Answer and solution

Answer: (A) $-26 \times -22$

$-26 \times -22$ : $- \times - = +$ , so it is $572$ .

But $-13 - 35 = -48$ : in addition two negatives stay negative.
Which of these equals $25$ ?
A $\displaystyle \frac{-150}{-6}$ B $\displaystyle \frac{200}{-8}$ C $-5 - 20$ D $-5 \times 5$

Answer and solution

Answer: (A) $\displaystyle \frac{-150}{-6}$

$\displaystyle \frac{-150}{-6}$ : $\displaystyle \frac{-}{-} = +$ and $150 \div 6 = 25$

The others are all $-25$ : $- \times +$ , two negatives added, and $\displaystyle \frac{+}{-}$ .

Menu

MCQ test, Set 1