CBSE Questions for Class 12 Commerce Applied Mathematics Quantification And Numerical Applications Quiz 7 - MCQExams.com

Solve the following inequality. $$\displaystyle \frac{3x+6}{2x-12}\le 0$$
  • $$-2 \le x < 6$$
  • $$-2 \le x < -6$$
  • $$2 \le x < 6$$
  • None of these
Solve the following inequality. $$\displaystyle \frac{2}{p-1}\ge \frac{3}{4}$$
  • $$1 < p \le \frac{11}{3}$$
  • $$1 < p \le \frac{13}{3}$$
  • $$2 < p \le \frac{11}{3}$$
  • None of these
Solve the following inequality. $$\displaystyle \frac{2}{m+3}\le 1$$
  • $$m < -3$$ or $$m \ge -1$$
  • $$m < -3$$ or $$m \ge -3$$
  • $$m < -4$$ or $$m \ge -1$$
  • None of these
Solve the following inequality. $$\displaystyle \frac{p-5}{3-p}\le 0$$
  • $$p < 3$$ or $$p\ge 5$$
  • $$p < -3$$ or $$p\ge 5$$
  • $$p < 3$$ or $$p\ge -5$$
  • None of these
Solve the following inequality. $$\displaystyle \frac{4}{x+2}>2$$
  • $$(-2,0)$$
  • $$(2,0)$$
  • $$(-6,0)$$
  • None of these
Solve the following inequality. $$\displaystyle \dfrac{2z-5}{z-7}\le 0$$
  • $$\dfrac{5}{7}\le z < 7 $$
  • $$\dfrac{5}{7}\le z < -7 $$
  • $$\dfrac{-5}{7}\le z < 7 $$
  • None of these
Solve the following inequality. $$\displaystyle \frac{2t+7}{t-4}\ge 3$$
  • $$4 < t \le 19$$
  • $$4 < t \le -19$$
  • $$-4 < t \le 19$$
  • None of these
Solve the following inequality. $$\displaystyle \frac{4-x}{x+3}>0$$
  • $$-3<x<4$$ 
  • $$3<x<4$$ 
  • $$-3<x<-4$$ 
  • None of these
Solve the following inequality. $$\displaystyle \frac{3x-1}{x}\le -1$$
  • $$0 < x< \dfrac{1}{4}$$ 
  • $$0 < x< \dfrac{2}{4}$$ 
  • $$0 < x< \dfrac{1}{6}$$ 
  • None of these
The shaded region in the figure shown represents the solution set of
427471.png
  • $$x-y\ge 0$$, $$x+y\le 0$$
  • $$x-y< 0$$, $$x+y< 0$$
  • $$x-y\ge 0$$, $$x+y \ge 0$$
  • $$x-y\le 0$$, $$x+y\ge 0$$
Solve the following inequality. $$\displaystyle \frac{x^2-16}{(x-1)^2}<0$$
  • $$-4<x<1$$   and   $$1<x<4$$
  • $$-7<x<1$$   and   $$1<x<4$$
  • $$-4<x<1$$   and   $$1<x<-4$$
  • None of these
Solve the following inequality. $$\displaystyle u\le \frac{4}{u-3}$$
  • $$u\le -1$$ and $$3<u\le4$$
  • $$u\le -5$$ and $$3<u\le4$$
  • $$u\le -5$$ and $$3<u\le7$$
  • None of these
From a container of milk, $$5$$ litres of milk is replaced with $$5$$ litres of water. This process is repeated again. Thus in two attempts the ratio of milk and water became $$81:19.$$ The initial amount of milk in the container was
  • $$50$$ litres
  • $$45$$ litres
  • $$40$$ litres
  • $$25$$ litres
Solve the following inequality. $$\displaystyle \frac {3x+8}{x-1}< -2$$
  • $$-\frac{6}{5}<x<1$$
  • $$-\frac{5}{5}<x<1$$
  • $$-\frac{6}{5}<x<6$$
  • None of these
Solve the following inequality. $$\displaystyle \frac{x+1}{x-5} \le 0$$.
  • $$-1\le x<5$$ 
  • $$-5\le x<5$$ 
  • $$-1\le x<7$$ 
  • None of these
Zinc and copper are in the ratio of 5 : 3 in 200 gm of alloy. How much grams of copper be added to make the ratio as 3 : 5 ?
  • 400/3
  • 1/200
  • 72
  • 66
Which set of points is in the solution set for the system of inequalities:  $$x-y>1$$ and$$y<2x-1$$ ?
  • $$(-1, -1)$$
  • $$(-2, -1)$$
  • $$(0, 1)$$
  • $$(0, -2)$$
Solve the following inequality. $$\displaystyle \frac{3x+1}{x+4}\ge 1$$
  • $$(-\infty, -4)$$  and  $$[\dfrac{3}{2}, \infty)$$
  • $$(-\infty, 4)$$  and  $$[\dfrac{3}{2}, \infty)$$
  • $$(-\infty, -6)$$  and  $$[\dfrac{3}{2}, \infty)$$
  • None of these
Divide $$Rs.370$$ into three parts such that second part is  $$\dfrac{1}{4}$$ of the third part and the ratio between the first and the third part is $$3:5$$. Find each part.
  • $$120,50,200$$
  • $$100,50,200$$
  • $$240,25,200$$
  • $$120,50,100$$
A bag contains Rs. $$510$$ in the form of $$50p$$, $$25p$$ and $$20p$$ coins in the ratio $$2:3:4$$. Find the number of coins of each type
  • $$200,\,300,\,400$$
  • $$100,\,150,\,200$$
  • $$400,\,600,\,800$$
  • $$600,\,900,\,1200$$
The ratio of number of boys and girls is $$4:3$$. If there are $$18$$ girls in a class, then find the total number of students in the class.
  • $$40$$
  • $$41$$
  • $$42$$
  • $$43$$
Divide Rs.$$290$$ among A, B, C in the ratio $$\dfrac{3}{2},\dfrac{5}{4}$$ and $$\dfrac{3}{8}$$.
  • $$120,\,100,\,30$$
  • $$120,\,30,\,60$$
  • $$30,\,60,\,15$$
  • $$60,\,50,\,15$$
Ratio of two numbers is 2 : 3 and their LCM isFind the two numbers.
  • 12, 18
  • 8 , 12
  • 18, 24
  • 16, 24
The ratio $$4^{3.5}:2^5$$ is same as
  • $$2:1$$
  • $$4:1$$
  • $$7:5$$
  • $$7:10$$
Rs. $$1210$$ were divided among A, B, C so that $$A:B=5:4$$, $$B:C=9:10$$. then C gets
  • Rs. $$340$$
  • Rs. $$400$$
  • Rs. $$450$$
  • Rs. $$475$$
Production of a company A is 120 % of the production of company B and 80 % of the production of company C. What is the ratio between production of companies  A, B and C respectively?
  • 6 : 5 : 9
  • 6 : 5 : 4
  • 12 : 10 : 15
  • 10 : 12 : 15
A stone is projected vertically up from the bottom of a water tank. Assuming no water resistance it will go up & come down in same time but if water drag is present then the time it takes to go up, $${t}_{up}$$ and the time it takes to come down, $${t}_{down}$$ are related as
430142.png
  • $${t}_{up} > {t}_{down}$$
  • $${t}_{up} = {t}_{down}$$
  • $${t}_{up} < {t}_{down}$$
  • Can not say
Simplify $$\dfrac{5}{2}:\dfrac{3}{8}:\dfrac{4}{9}$$
  • $$180:27:32$$
  • $$10:6:8$$
  • $$15:9:12$$
  • $$25:15:20$$
If $$\dfrac{a}{3}=\dfrac{b}{4}=\dfrac{c}{7}$$, then $$\dfrac{a+b+c}{c}$$ is equal to
  • $$7$$
  • $$2$$
  • $$\dfrac{1}{2}$$
  • $$\dfrac{1}{7}$$
The ratio of three numbers is $$3:4:5$$ and sum of their squares is $$1250$$. The sum of the numbers is
  • $$30$$
  • $$50$$
  • $$60$$
  • $$90$$
0:0:1


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