Understanding Integers: MCQ test, Set 8

Download the PDF (with key sheet and solutions, 73.1 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.

How many jumps of $1$ take you from $-17$ to $27$ on the number line?
A $10$ B $43$ C $44$ D $45$

Answer and solution

Answer: (C) $44$

$17$ jumps to reach $0$ , then $27$ more to reach $27$ .

$17 + 27 = 44$
The sum of $-75$ and $-77$ is
A $-162$ B $-152$ C $-42$ D $-2$

Answer and solution

Answer: (B) $-152$

Adding $-77$ to $-75$ gives $-75 - 77$ .

Both are negative: $-75 - 77 = -(75 + 77) = -152$
$-46 - 75$ equals
A $-11$ B $-29$ C $-131$ D $-121$

Answer and solution

Answer: (D) $-121$

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

$-46 - 75 = -(46 + 75) = -121$
In $18 - 67 = -(\square)$ , the number in the box is
A $59$ B $49$ C $51$ D $85$

Answer and solution

Answer: (B) $49$

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

$18 - 67 = -(67 - 18) = -(49)$
The sum of $66$ and $-93$ is
A $-159$ B $-33$ C $-27$ D $-37$

Answer and solution

Answer: (C) $-27$

This is $66 - 93$ .

$66 - 93 = -(93 - 66) = -27$
The value of $-64 + 15$ is
A $-79$ B $-49$ C $-59$ D $-51$

Answer and solution

Answer: (B) $-49$

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

$-64 + 15 = -(64 - 15) = -49$
$-3812 + 4641 =$
A $8453$ B $1839$ C $829$ D $1231$

Answer and solution

Answer: (C) $829$

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

$-3812 + 4641 = +(4641 - 3812) = 829$
The value of $-493 + 2195$ is
A $2302$ B $2702$ C $2688$ D $1702$

Answer and solution

Answer: (D) $1702$

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

$-493 + 2195 = +(2195 - 493) = 1702$
Subtract $479$ from $6168$ . The answer is
A $6311$ B $5690$ C $5689$ D $6799$

Answer and solution

Answer: (C) $5689$

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

$6168 - 479 = 5689$
Harsha worked out $5309 - 327$ and got $5082$ , which is wrong. The correct answer is
A $4982$ B $5022$ C $4981$ D $4983$

Answer and solution

Answer: (A) $4982$

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

$5309 - 327 = 4982$
$426 - 905 =$
A $-479$ B $-589$ C $-521$ D $-1331$

Answer and solution

Answer: (A) $-479$

$426 - 905 = -(905 - 426)$

$905 \to 500 \to 426$ : $405 + 74 = 479$

So the answer is $-479$
The value of $-9939 - 345$ is
A $-10294$ B $-9594$ C $-9274$ D $-10284$

Answer and solution

Answer: (D) $-10284$

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

$-9939 - 345 = -(9939 + 345) = -10284$
In four days a stall had: profit ₹375, profit ₹457, loss ₹183, loss ₹263. Altogether this is
A a loss of ₹386 B a profit of ₹386 C a profit of ₹752 D a loss of ₹528

Answer and solution

Answer: (B) a profit of ₹386

Positive terms: $375 + 457 = 832$

Negative terms: $183 + 263 = 446$

$375 + 457 - 183 - 263 = 832 - 446$ $= 386$

A profit of ₹386.
$22 - 346 + 108 - 351 =$
A $125$ B $-783$ C $827$ D $-567$

Answer and solution

Answer: (D) $-567$

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

$22 - 346 + 108 - 351 = 130 - 697$ $= -(697 - 130) = -567$
In $835 - 13 + 693 + 19 - 63$ , the total of the positive terms and the total of the negative terms (without the sign) are
A $1547$ and $86$ B $1547$ and $76$ C $1560$ and $63$ D $1528$ and $95$

Answer and solution

Answer: (B) $1547$ and $76$

Positive terms: $835 + 693 + 19 = 1547$

Negative terms: $13 + 63 = 76$
Which of the following works out negative?
A $-4 \times 33$ B $35 + 25$ C $-14 + 19$ D $-28 \times -6$

Answer and solution

Answer: (A) $-4 \times 33$

$-4 \times 33$ : $- \times + = -$ , so it is $-132$

$-28 \times -6 = 168$ , $35 + 25 = 60$ , $-14 + 19 = 5$ : all positive
Which of these equals $396$ ?
A $-11 \times -36$ B $-9 \times 44$ C $4 - 400$ D $-223 - 173$

Answer and solution

Answer: (A) $-11 \times -36$

$-11 \times -36$ : $- \times - = +$ , so it is $396$

The others are all $-396$ : $-9 \times 44$ is $- \times +$ , and the two additions give $-(223 + 173)$ and $-(400 - 4)$ .
$-6 \times -28 =$
A $174$ B $162$ C $-34$ D $168$

Answer and solution

Answer: (D) $168$

Sign: $- \times - = +$

$6 \times 28 = 168$ , so $-6 \times -28 = 168$
The value of $79 \times -68$ is
A $-5372$ B $-1106$ C $-5472$ D $-5272$

Answer and solution

Answer: (A) $-5372$

Sign: $+ \times - = -$

$79 \times 8 = 632$ , $79 \times 60 = 4740$ , $632 + 4740 = 5372$

So $79 \times -68 = -5372$
The value of $-471 \times 86$ is
A $-40506$ B $-40606$ C $-40406$ D $-6594$

Answer and solution

Answer: (A) $-40506$

Sign: $- \times + = -$

$471 \times 6 = 2826$ , $471 \times 80 = 37680$ , $2826 + 37680 = 40506$

So $-471 \times 86 = -40506$
$\displaystyle \frac{-24576}{8} =$
A $-30720$ B $-3072$ C $-372$ D $-3082$

Answer and solution

Answer: (B) $-3072$

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

$24 \div 8 = 3$ ; $5 \div 8 = 0$ r $5$ ; $57 \div 8 = 7$ r $1$ ; $16 \div 8 = 2$

So $\displaystyle \frac{-24576}{8} = -3072$
Pick the one whose answer is positive.
A $\displaystyle \frac{-56}{8}$ B $\displaystyle \frac{978}{-2}$ C $\displaystyle \frac{-570}{-6}$ D $\displaystyle \frac{-226}{2}$

Answer and solution

Answer: (C) $\displaystyle \frac{-570}{-6}$

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

$\displaystyle \frac{-570}{-6} = 95$
$\displaystyle \frac{-873}{9} =$
A $-99$ B $-98$ C $-96$ D $-97$

Answer and solution

Answer: (D) $-97$

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

$873 \div 9 = 97$ , so $\displaystyle \frac{-873}{9} = -97$
Which one of these works out to a positive integer?
A $-38 - 19$ B $4 \times -28$ C $-27 \times -31$ D $\displaystyle \frac{-609}{7}$

Answer and solution

Answer: (C) $-27 \times -31$

$-27 \times -31$ : $- \times - = +$ , so it is $837$ .

But $-38 - 19 = -57$ : in addition two negatives stay negative.
Sita wrote $-8 - 65 = 73$ , saying 'minus and minus make plus'. The correct value of $-8 - 65$ is
A $-73$ B $-57$ C $-83$ D $520$

Answer and solution

Answer: (A) $-73$

'Minus and minus make plus' is the multiplication rule, not the addition rule.

Addition with the same signs: $-8 - 65 = -(8 + 65) = -73$

Menu

MCQ test, Set 8