Solving an Equation

Q.

To stitch a shirt $2\mathrm{m}15\mathrm{cm}$ cloth is needed. Out of $40\mathrm{m}$ cloth, how many shirts can be stitched, and how much cloth will remain?

Q. Sushant reads $\frac{1}{3}$ part of a book in 1 hour. How much will he read in $2\frac{1}{5}$ hours?

1. $\frac{41}{55}$
2. $\frac{31}{15}$
3. $\frac{11}{15}$
4. $\frac{11}{25}$

Q.

Solution set of equation $x=\sqrt{12+\sqrt{12+\sqrt{12+....\mathrm{upto}\infty }}}$

1. $4$

2. $-4$

3. $3$

4. $-3$

Q.

A photograph of a bacteria enlarged 50, 000 times attains a length of 5 cm as shown in the diagram. What is the actual length of the bacteria? If the photograph is enlarged 20, 000 times only, what would be its enlarged length?

Q.

The number of words, with or without meaning, that can be formed by taking $4$ letters at a time from the letters of the word ’SYLLABUS’ such that two letters are distinct and two letters are alike, is

Q.

Fido weighs $26$ pounds more than Fifi.

Fifi weighs $12$ pounds less than Rover.

If sum of their weights is $71$, how much does Fifi weighs $?$

Q.

$D4T:H4P::L5R:$________

Q. The ratio of ₹ 5, ₹ 10 and ₹ 2 coins in a bag is 2:3:5. If the bag has ₹ 500, then the number of ₹ 2 coins is

1. 50

Q.

The cost of two tables and three chairs is ₹ 705. If the table costs ₹ 40 more than the chair, then find the cost of the table.

1. ₹ 165

2. ₹ 125

3. ₹ 150

4. ₹ 160

Q. 2x+3=7, find the value of X.

Q.

$16=4+3(t+2)$$.$ Solve for $t.$

Q. If a and b are positive integers, then the solution of the equation $ax=b$ has to be always:

1. Negative
2. Positive
3. One
4. Zero

Q.

The number which should be added to twice the rational number $-\frac{7}{3}$ to get $\frac{3}{7}$ is

1. $\frac{105}{21}$

2. $\frac{100}{21}$

3. $\frac{107}{21}$

4. $-\frac{89}{21}$

Q. How many four digit numbers are there whose sum of the digits is 3

Q. There is ₹345 in denominations of ₹1, ₹2, ₹5 and ₹10 coins. If the ratio of number of coins is 3:8:6:2, then

1. 10
2. 30
3. 15
4. 40

Q. Sort the steps of solving the equation 2x + 6 = 12 (Given equation should be on the top).

1. $2x+6=12$
2. $2x=6$
3. $x=3$
4. $2x+6-6=12-6$
5. $\frac{2x}{2}=\frac{6}{2}$

Q. The sum of three consecutive multiples of 9 is 108. The average of these multiples is

1. 30
2. 36
3. 18
4. 24

Q.

Solve the following:

$0.4(3x–1)=0.5x+1$

Q. What is the value of x in 3(4x+10) = 162 ?

1. 11
2. 10
3. 12
4. 21

Q.

Question 3(i)
Solve the following equation by trial and error method:
5p+ 2 = 17

Q.

Solve: $\left(\frac{1200}{x}+2\right)(x-10)-1200=60$

Q.

If the sum of three consecutive numbers is 39, find the numbers.

1. 10, 11, 12
2. 23, 24, 25
3. 33, 34, 35
4. 12, 13, 14

Q. A number is divided into two parts such that one part is 20 more that the others. If the two parts are in the ratio 5:3, then find the number and the two parts.

1. The number is 70 and two parts are 25 and 45.
2. The number is 80 and two parts are 30 and 50.
3. The number is 60 and two parts are 20 and 40.
4. The number is 100 and two parts are 40 and 60.

Q.

Find an angle which is 1/4th of its complement

Q.

Question 3(ii)
Solve the following equation by trial and error method:
3m- 14 = 4

Q. Question 1(b)
Set up equations and solve them to find the unknown numbers in the following cases:
One - fifth of a number minus 4 gives 3.

Q.

The sum of two numbers is $95$. If one exceeds the other by $15$, find the numbers.

Q. In a quiz program, the correct answer gets you 2 marks. For each wrong answer, one mark is deducted. There are 50 questions to be answered. If Preeti scored 76 marks in the quiz, how many of her questions were right?

1. 26
2. 13
3. 38
4. 42

Q. Ten pencils cost Rs 15. How many pencils can be bought with Rs 72?

Q. There are 25 girls in a class. If the ratio of boys and girls in that class is 4:5, what is the total numer of students in that class?

1. 45