Understanding Integers: MCQ test, Set 4

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

The integers between $-4$ and $1$ are
A $-4, -3, -2, -1, 0, 1$ B $-3, -2, -1$ C $-2, -1, 0$ D $-3, -2, -1, 0$

Answer and solution

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

Leave out $-4$ and $1$ themselves, and do not miss $0$ .

$-3, -2, -1, 0$
The sum of $-88$ and $-46$ is
A $-42$ B $-24$ C $-144$ D $-134$

Answer and solution

Answer: (D) $-134$

Adding $-46$ to $-88$ gives $-88 - 46$ .

Both are negative: $-88 - 46 = -(88 + 46) = -134$
$-97 - 74$ equals
A $-23$ B $-171$ C $-181$ D $-61$

Answer and solution

Answer: (B) $-171$

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

$-97 - 74 = -(97 + 74) = -171$
The sum of $-59$ and $98$ is
A $157$ B $49$ C $41$ D $39$

Answer and solution

Answer: (D) $39$

This is $-59 + 98$ .

$-59 + 98 = +(98 - 59) = 39$
The value of $19 - 48$ is
A $-29$ B $-31$ C $-39$ D $-67$

Answer and solution

Answer: (A) $-29$

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

$19 - 48 = -(48 - 19) = -29$
In $45 - 52 = -(\square)$ , the number in the box is
A $13$ B $97$ C $7$ D $17$

Answer and solution

Answer: (C) $7$

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

$45 - 52 = -(52 - 45) = -(7)$
$937 - 3609$ equals
A $-3772$ B $-3332$ C $-4546$ D $-2672$

Answer and solution

Answer: (D) $-2672$

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

$937 - 3609 = -(3609 - 937) = -2672$
$-3176 + 9129$ equals
A $5963$ B $5953$ C $6053$ D $12305$

Answer and solution

Answer: (B) $5953$

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

$-3176 + 9129 = +(9129 - 3176) = 5953$
Subtract $278$ from $4345$ . The answer is
A $4067$ B $4068$ C $4133$ D $4177$

Answer and solution

Answer: (A) $4067$

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

$4345 - 278 = 4067$
Divya worked out $45006 - 1173$ and got $44933$ , which is wrong. The correct answer is
A $43832$ B $43833$ C $44173$ D $43834$

Answer and solution

Answer: (B) $43833$

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

$45006 - 1173 = 43833$
$-999 - 2713 =$
A $-1714$ B $-3712$ C $-3722$ D $-2602$

Answer and solution

Answer: (B) $-3712$

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

$-999 - 2713 = -(999 + 2713) = -3712$
$783 - 832 =$
A $-159$ B $-1615$ C $-49$ D $-151$

Answer and solution

Answer: (C) $-49$

$783 - 832 = -(832 - 783)$

$832 \to 800 \to 783$ : $32 + 17 = 49$

So the answer is $-49$
In four days a stall had: profit ₹476, loss ₹303, loss ₹104, profit ₹624. Altogether this is
A a profit of ₹693 B a loss of ₹555 C a loss of ₹693 D a profit of ₹1299

Answer and solution

Answer: (A) a profit of ₹693

Positive terms: $476 + 624 = 1100$

Negative terms: $303 + 104 = 407$

$476 - 303 - 104 + 624 = 1100 - 407$ $= 693$

A profit of ₹693.
In $51 - 83 + 37 - 13$ , the total of the positive terms and the total of the negative terms (without the sign) are
A $88$ and $96$ B $171$ and $13$ C $88$ and $106$ D $51$ and $133$

Answer and solution

Answer: (A) $88$ and $96$

Positive terms: $51 + 37 = 88$

Negative terms: $83 + 13 = 96$
$364 - 506 - 2109 =$
A $-1239$ B $-2979$ C $1967$ D $-2251$

Answer and solution

Answer: (D) $-2251$

Positive term: $364$

Negative terms: $506 + 2109 = 2615$

$364 - 506 - 2109 = 364 - 2615$ $= -(2615 - 364) = -2251$
Exactly one of these is positive. Which is it?
A $-6 \times -3$ B $-26 - 31$ C $35 \times -8$ D $-38 + 37$

Answer and solution

Answer: (A) $-6 \times -3$

$-6 \times -3$ : $- \times - = +$ , so it is $18$

$35 \times -8 = -280$ , $-26 - 31 = -57$ , $-38 + 37 = -1$ : all negative
The value of $-37 \times 4$ is
A $-152$ B $-41$ C $-33$ D $-148$

Answer and solution

Answer: (D) $-148$

Sign: $- \times + = -$

$37 \times 4 = 148$ , so $-37 \times 4 = -148$
Which expression below has a negative value?
A $-39 \times -11$ B $7 + 36$ C $-33 \times 3$ D $-4 + 26$

Answer and solution

Answer: (C) $-33 \times 3$

$-33 \times 3$ : $- \times + = -$ , so it is $-99$

$-39 \times -11 = 429$ , $7 + 36 = 43$ , $-4 + 26 = 22$ : all positive
$-579 \times -53$ equals
A $30787$ B $30687$ C $30587$ D $4632$

Answer and solution

Answer: (B) $30687$

Sign: $- \times - = +$

$579 \times 3 = 1737$ , $579 \times 50 = 28950$ , $1737 + 28950 = 30687$

So $-579 \times -53 = 30687$
The value of $-32 \times 69$ is
A $-2308$ B $-2108$ C $-2208$ D $-345$

Answer and solution

Answer: (C) $-2208$

Sign: $- \times + = -$

$69 \times 2 = 138$ , $69 \times 30 = 2070$ , $138 + 2070 = 2208$

So $-32 \times 69 = -2208$
The value of $\displaystyle \frac{-80172}{9}$ is
A $-898$ B $-89080$ C $-8908$ D $-8918$

Answer and solution

Answer: (C) $-8908$

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

$80 \div 9 = 8$ r $8$ ; $81 \div 9 = 9$ ; $7 \div 9 = 0$ r $7$ ; $72 \div 9 = 8$

So $\displaystyle \frac{-80172}{9} = -8908$
Which of the following works out positive?
A $\displaystyle \frac{328}{-4}$ B $\displaystyle \frac{-60}{4}$ C $\displaystyle \frac{-164}{4}$ D $\displaystyle \frac{-831}{-3}$

Answer and solution

Answer: (D) $\displaystyle \frac{-831}{-3}$

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

$\displaystyle \frac{-831}{-3} = 277$
The value of $\displaystyle \frac{42}{-7}$ is
A $-7$ B $-8$ C $-6$ D $-5$

Answer and solution

Answer: (C) $-6$

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

$42 \div 7 = 6$ , so $\displaystyle \frac{42}{-7} = -6$
Which of these equals $21$ ?
A $\displaystyle \frac{-189}{-9}$ B $\displaystyle \frac{147}{-7}$ C $-15 - 6$ D $-7 \times 3$

Answer and solution

Answer: (A) $\displaystyle \frac{-189}{-9}$

$\displaystyle \frac{-189}{-9}$ : $\displaystyle \frac{-}{-} = +$ and $189 \div 9 = 21$

The others are all $-21$ : $- \times +$ , two negatives added, and $\displaystyle \frac{+}{-}$ .
Sita wrote $-7 - 43 = 50$ , saying 'minus and minus make plus'. The correct value of $-7 - 43$ is
A $-50$ B $301$ C $-36$ D $-60$

Answer and solution

Answer: (A) $-50$

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

Addition with the same signs: $-7 - 43 = -(7 + 43) = -50$

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MCQ test, Set 4