Word Problems based on Operations on Integers

Q.

The sum of $1\times 1!+2\times 2!+...........+50\times 50!$ equals

1. $51!$

2. $51!-1$

3. $51!+1$

4. $2\times 51!$

Q. When two negative integers are multiplied together, a number is obtained.

1. positive
2. negative
3. positive$/$negative

Q. In a minute, a typist will type 40 words. To type 120 words, how long will it take?

1. 3

Q. On a certain day at a certain time in Siberia, the temperature was - 33${}^o$F. On the same day at the same time, the temperature in Kenya was 33${}^o$F.What is the difference between the two temperatures in degrees?

1. 66

Q.

Taking sea level as zero, distance below sea surface as negative and distance above sea surface as positive, find the integers corresponding to the following situation: A shark, swimming 40 m deep, sees a diver 20 m above him. The shark immediately rises 30 m to attack the diver, who dives deeper by 10 m. A rescue helicopter comes to the diver's aid and hovers 20 m above the surface. Distance between helicopter and diver: m

Q.

In an Engineering Entrance Exam, $(+6)$ marks are awarded for every correct answer, $(-2)$marks for every incorrect answer, and no marks for not attempting any question.

Shubham scored $(+102)$for correct answers and $(-22)$ incorrect answers. Find the number of questions (a) answered correctly

(b) answered incorrectly

(c) unattempted

if there were a total of 30 questions in the paper.

Q. The temperature on Sunday was $-{25}^{\circ }\text{C}$. The temperature on Monday was ${12}^{\circ }\text{C}$ more than the temperature on Sunday. What was the temperature on Monday?

1. $-{13}^{\circ }\text{C}$
2. ${13}^{\circ }\text{C}$
3. ${37}^{\circ }\text{C}$
4. $-{37}^{\circ }\text{C}$

Q. The diagram shows a flood warning post in a river. The water level rises by 1 meter. The new water level is cm.

Q. Taking sea level as zero, distance below sea surface as negative and distance above sea surface as positive, find the integers corresponding to the following situation:
A shark, swimming 40 m deep, sees a diver 20 m above him. The shark immediately rises 30 m to attack the diver, who dives deeper by 10 m. The positions of shark and diver are

1. - 30 m and - 10 m respectively.
2. - 10 m and - 30 m respectively.
3. 30 m and 10 m respectively.
4. 10 m and 30 m respectively.

Q. Taking sea level as zero, distance below sea surface as negative and distance above sea surface as positive, find the integers corresponding to the following situation:
A shark, swimming 40 m deep, sees a diver 20 m above him. The positions of shark and diver are

1. - 40 m and - 20 m respectively.
2. - 20 m and - 40 m respectively.
3. 40 m and 20 m respectively.
4. - 40 m and 20 m respectively.

Q. Taking sea level as zero, distance below sea surface as negative and distance above sea surface as positive, find the integers corresponding to the following situation:
A shark, swimming 40 m deep, sees a diver 20 m above him. The shark immediately rises 30 m to attack the diver, who dives deeper by 10 m. A rescue helicopter comes to the diver's aid and hovers 20 m above the surface. The helicopter drops a shark repellent which causes the shark to dive 30 m.
Position of the shark after diving is

1. - 40 m
2. - 30 m
3. - 20 m
4. 20 m

Q. Samuel attempted a Maths Quiz. In round one of the quiz, he scored $150$ points; in the second round, he scored $-200$ points, and in third round of the quiz, he scored $100$ points. The total score of Samuel after completing all the three rounds of the quiz is .

Q.

Solve it using distributive property

$30\times 7+12\times 7$

Q.

Verify$a-(-b)=a+b$ for the following values of $a$and $b$

$a=75,b=84$

Q. In an online Mathematics practice test, Alexa scores $20$ points for the questions she answered correctly, and gets $-3$ points for each incorrect answers. Alexa answers $4$ questions incorrectly. What is Alexa's final score?

1. $20$ points
2. $17$ points
3. $8$ points
4. $-12$ points

Q.

Solve it;

$37\times 14-35\times 14$ (use distributive property).

Q.

What is the expression after applying the distributive property?

$-3.1\left[-9+\left(-7\right)\right]$

Q.

Indicate each of the following statements by appropriate integers:

$15°C$ above $0°C$

Q.

Using distributive property, simplify the given below:

$550\times 628-550\times 528$

Q.

Complete the following table showing rise and fall of temperature at different times.

Temperature at				Final Temperature at $12$ Noon
$6A.M.$	$8A.M.$	$10A.M.$	$12NOON$
${10}^{O}C$	rise of $3^{O}C$	rise of $1^{O}C$	fall of $2^{O}C$	………………