Applications (Word Problem)

Q.

What number should be subtracted from $-\frac{2}{3}$ to get $-\frac{1}{6}$?

Q. If the mean of x, x + 2, x + 4, x + 6, and x + 8 is 13, calculate the value of x.

1. 6
2. 9
3. 12
4. 3

Q. Three fourth of a number exceeds its one third by $60$. The number is:

1. $164$
2. $144$
3. $154$
4. $124$

Q.

Question 17
A whole number is added to 25 and the same number is subtracted from 25. The sum of the resulting numbers is

(A) 0
(B) 25
(C) 50
(D) 75

Q. The mean of 8, 11, 6, 14, x and 13 is 66. Find the value of x.

1. 345
2. 344
3. 342
4. 66

Q.

Question 89

A class with p students has planned a picnic. Rs. 50 per student is collected, out of which Rs. 1800 is paid in advance for transport. How much money is left with them to spend on other items?

Q.

What will be the sum of place values of both 6’s in the number 69657?

1. 6060
2. 6600
3. 66000
4. 60600

Q.

Ramu’s father is thrice as old as Ramu. If father’s age is 45 years, then Ramu’s age is

1. 15 years

2. 30 years

3. 45 years

4. 10 years

Q.

When $75\%$ of a number is added to 75, then resultant number is the original number. The number is

1. 150

2. 300

3. 100

4. 45

Q. Three consecutive integers are such that when they are taken in increasing order and multiplied by $2,3$ and $4$ respectively, they add up to $74$. Find these numbers.

1. Numbers are $6,5$ and $10$
2. Numbers are $7,8$ and $9$
3. Numbers are $3,3$ and $5$.
4. Numbers are $9,16$ and $19$

Q.

Laura is three times as old as Luci.

In $5\mathrm{years}$, the sum of their ages will be $30$.

What are the current ages of Laura and Luci?

Q.

The sum of two rational numbers is $\frac{-2}{3}.$If one of them is $-4$, find the other.

Q. Narendra borrowed rupees 50000 at 12 p.c.p.a. for a year. What amount will he have to return to the bank at the end of the year?

Q.

When I say "I am as tall as my brother", which of the following equations I am actually representing?

1. My height < my brother's height

2. My height = my brother's height

3. My weight = my brother's weight

4. My height > my brother's height

Q. A number is decreased by 15 and the new number so obtained is multiplied by 3; the result is 81. Find the number. [3 MARKS]

Q.

After 7 years Sarosh's father age will be 3 times that of Sarosh's age which will be simultaneously equal to 6 times of Sarosh's present age. Sum of their present ages is equal to: [4 MARKS]

Q. A shopkeeper has an unknown weight in his shop. To find out the weight, he first weighs 1kg of rice and then weighs 1kg of rice and the unknown weight together. The combined weight of the rice and the unknown weight is 1.5 kg. Find the unknown weight (in grams).
___

Q. Trishika is 15 years old. 5 years ago, Jay was 3𝑥 times older than Trishika. What will be their total age after 3 years?

Q.

If the present age of father is $52$ years and that of his son is $18$ years, then

(Age of father before $12$ years) : ( Age of son after $2$ years)$=$________

Q.

Solve the following problems:

The total weight of three fruits boxes is $35\frac{1}{2}$ kg. If the box of grapes weighs $2$kg less than the box of apples and the box of apples weighs $1\frac{1}{2}$kg less than the box of oranges, find the weight of the three boxes.

Q. What is the integer representation of walking $3km$ towards the south?

1. $3000m$
2. $-300m$
3. $+300m$
4. $-3000m$

Q. In a football match, a team scores 3 goals in the first half. If the team scored a total of 5 goals, then the team scored in the second half.

1. $3$
2. $5$
3. $2$

Q.

Ifthe angles of a triangle are in the ratio $2:3:4$, then find the difference between the greatest and the smallest angle.

1. ${10}^{\circ }$

2. ${20}^{\circ }$

3. ${30}^{\circ }$

4. ${40}^{\circ }$

Q. Take Sarita’s present age to be y years. Answer the following question.
i) Sarita’s grandfather is 6 times her age. What is the age of her grandfather?
ii) Grandmother is 2 years younger than grandfather. What is grandmother's age?

Q.

What will be the sum of place values of both 6’s in the number 69657?

1. 6060
2. 6600
3. 66000
4. 60600

Q. Narendra borrowed rupees 50000 at 12 p.c.p.a. for a year. What amount will he have to return to the bank at the end of the year?

Q. Rohit deposited Rs.17300 in a bank at a rate of 6 p.c.p.a. How much money will he get at the end of the year in all?

1. ₹18160
2. ₹18239
3. ₹18338
4. ₹19100

Q.

Add $2a+3b+c+d,-a+b-c-d$ and $3a-4b-2c-2d$. [3 MARKS]

Q. If the side of a square is of length (x + 5), then what is the perimeter of the square?

1. 24
2. 4x + 5
3. 4x + 20
4. 4x - 20

Q.

In a school, there are $384girls$and $420boys$

What is the ratio of boys to the total number of students?