Transposing Method

Q.

A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then find the fraction of the work that is left.

1. 

2. 

3. 

4. 

Q.

Solve for:

$\frac{1}{\left(x-1\right)\left(x-2\right)}+\frac{1}{\left(x-3\right)\left(x-2\right)}=\frac{2}{3},x\ne 1,2,3$

Q. The numerator of a fraction is 2 less than the denominator. If 1 is added to both the numerator and denominator, then it becomes $\frac{3}{5}.$ Find the fraction.

1. $\frac{6}{4}$
2. $\frac{2}{4}$
3. $\frac{4}{6}$
4. $\frac{4}{2}$

Q. If two supplementary angles differ by ${40}^{\circ }$, then find the angles.

1. ${90}^{\circ },{130}^{\circ }$
2. ${60}^{\circ },{120}^{\circ }$
3. ${70}^{\circ },{110}^{\circ }$
4. ${50}^{\circ },{90}^{\circ }$

Q. A boy covers a distance of 25km in 4h partly on foot at the rate of 3.5kmph and partly on cycle at 9kmph. Find the distance covered on foot

Q.

If A can complete work in 4 days, B can complete the work in in T days and both A and B together can complete the work in 8/3 days, then find the value of T.

Q.

Manju has ₹90 in her piggy bank in Re 1 coins and 50 paise coins. If the number of Re 1 coins is twice that of 50 paise coins, how many coins of each are there?

Q. 'A' can do a piece of work in 14 days while 'B' can do it in 14 days. They begin together. But, 3 days before the completion of work, 'A' leaves off.
Find the total number of days taken to complete the work.

Q.

If $\frac{9}{5}x=\frac{18}{5}$, then x =_________

Q. The following steps are followed to solve the equation.
Step 1: $5x+7x-4x+2=5$
Step 2: $12x-4x=3$
Step 3: $8x=3$
Step 4: $x=3\times 8$
Which one is the wrong step?

1. Step 1
2. Step 2
3. Step 3
4. Step 4

Q.

A cement company earns a profit of ₹ 8 per bag of white cement sold and a loss of ₹ 5 per bag of grey cement sold.
What is the number of white cement bags it must sell to have neither profit nor loss, if the number of grey bags sold is 6, 400 bags?

1. 4500

2. 4000

3. 3200

4. 3600

Q.

The angles$\left(x-10\right)°$ and $\left(190-x\right)°$ are :-

1. interior angles on the same side of the transversal

2. making a linear pair

3. complementary

4. supplementary

Q. The supplementary angle of an angle is $\frac{9}{4}$ times its complementary angle. Find the measure of the supplementary angle(in degree).

1. 144
2. 126
3. 162
4. 108

Q. Find three consecutive numbers such that when they are divided by 2, 5 and 4 respectively, the sum of the result is 14.

1. 12, 13, 14
2. 14, 15, 16
3. 13, 14, 15
4. 15, 16, 17

Q. The solution of the following equation $5(x+2)-2(3-2x)=3(x+6)-4(4-x)$ is

1. -1
2. -2
3. 1
4. 2

Q. $7^2+1^2=...................................$
$(7+1{)}^2=...................................$
What should be added to $7^2+1^2$ to got $(7+1{)}^2?$

Q.

Solve the following problems:

In class VII, $\frac{1}{5}$ of the students have taken karate as an activity, $\frac{1}{4}$ have taken athletics, $\frac{1}{3}$ have taken yoga and the remaining have taken basketball. If the number of students opting for basketball is $26$, find the total number of students in class VII.

Q.

Fill in the blanks with acute$,$ obtuse$,$ right or straight$:$

When the sum of the measures of two angles is that of a straight angle and one of them is acute then the other should be ______

Q.

mr. joshi bequeathed 1/3 of his money to his son, 1/5 to his daughter and the remaining to his wife who got rupees 42, 000. what was the total amount?

Q. In the following question out of the four options only one is correct, write the correct answer:
(a) $x=\frac{a}{b}$
(b) $x=-b$
(c) $x=\frac{-b}{a}$
(d) $x=\frac{b}{a}$
The solution of the equation ax + b = 0 is:

Q. The value of $x$ in the equation $3x-\frac{2x}{3}=-14$ is .

1. -6
2. -4
3. 5
4. -3

Q.

When do we say that an algebraic fraction is in its lowest form?

1. If its numerator and denominator have a common factor.

2. If its numerator and denominator have no common factor.

3. If it is in the form of $\frac{xa}{yb}$

4. If it is in the form of $\frac{xa}{ycb}$

Q.

A number $N$ is added to$15$ less than $3$ times itself the result is $101$which equation can be used to find the value of $N$ ?

Q. Rasmika has sold her bag for ₹ 650 and made a profit of 30%. What is the cost price of the bag?

1. ₹ 400
2. ₹ 500
3. ₹ 600
4. ₹ 550

Q. A man bought 2 shirts, which together cost him ₹ 480. He sold one of them at a loss of 15% and the other at a gain of 19 %. If the selling price of both the shirts are equal, find the cost price of the lower priced shirt.

Q.

The solution of the equation $\text{4t - 5 = 13 + t}$is:

1. $\text{t = 3}$

2. $\text{t =4}$

3. $\text{t = 5}$

4. $\text{t = 6}$

Q.

Question 74

Name the pairs os supplementary angles in the following figures:

Q. Solve 8x + 9 = 3(x - 1) + 7.

Q. If you subtract $\frac{1}{2}$ from a number and multiply the result by $\frac{1}{2}$, you get $\frac{1}{8}$. The number obtained is

1. $\frac{3}{13}$
2. $\frac{3}{2}$
3. $\frac{3}{4}$
4. $\frac{3}{9}$

Q. The ratio $A^{\prime }s$ income to that of $B^{\prime }s$ income is $3:4$ and their expenses are in the ratio $2:3$. If $A$ saves ${}^{\prime }7000$, while $B$ saves ${}^{\prime }8000$, then $A^{\prime }s$ income is

1. ${}^{\prime }12,000$
2. ${}^{\prime }16,000$
3. ${}^{\prime }15,000$
4. ${}^{\prime }10,000$