CBSE Questions for Class 12 Commerce Applied Mathematics Quantification And Numerical Applications Quiz 1 - MCQExams.com

$$5$$ mangoes and $$4$$ oranges cost as much as $$3$$ mangoes and $$7$$ oranges. What is the ratio of the cost of one mango to that of one orange?
  • $$\;4\,\colon\,7$$
  • $$\;7\,\colon\,4$$
  • $$\;3\,\colon\,2$$
  • $$\;2\,\colon\,3$$
State whether True or False
The ratio of the following.
$$5$$ m to $$10$$ km ratio is $$1:2000$$
  • True
  • False
  • Ambiguous
  • Cannot be determined
State whether the given statement is True or False.
The ratio of 50 paise to Rs. 5 ratio is 1: 10
  • True
  • False
  • Ambiguous
  • Cannot be determined
Ordered pair that satisfy the equation $$x + y + 1 < 0$$ is:
  • $$(0, -1)$$
  • $$(-2 , 0)$$
  • $$(2, - 4)$$
  • Both (B) and (C)
What must be subtracted from each term of the ratio $$4 : 7$$ so that the ratio becomes $$2 : 5$$ ?
  • $$-2$$
  • $$-1$$
  • $$2$$
  • $$1$$

The ratio of Speed of a cycle 15 km per hour to the speed of scooter 30 km per hour is 1:2
  • True
  • False
  • Ambiguous
  • Cannot be determined
Find the order relation between the following pairs of ratios. a, b are integers. 
$$\displaystyle \frac{a-1}{b-1}, \frac{a+1}{b+1}$$ where $$a > b$$ and $$b \neq \pm 1$$.
  • $$\displaystyle \frac{a-1}{b-1} > \frac{a+1}{b+1}$$
  • $$\displaystyle \frac{a-1}{b-1} < \frac{a+1}{b+1}$$
  • Cannot be determined
  • None of these
The ratio of the two areas of two triangles with the common base is $$6:5$$. Height of the larger triangle is $$9\, cm$$. Then find the corresponding height of the smaller triangle.
  • Height of the smaller triangle is $$7.5\, \, cm$$.
  • Height of the smaller triangle is $$6.5\, \, cm$$.
  • Height of the smaller triangle is $$5.5\, \, cm$$.
  • Height of the smaller triangle is $$4.5\, \, cm$$.
Solve the inequality: $$3-2x\leq 9$$
  • $$x\leq 8$$
  • $$x\geq -6$$
  • $$x\leq -3$$
  • $$x\geq -3$$
The ratio of the velocities of the hour hand and minute hand of a clock is:
  • $$\;1\,\colon\,12$$
  • $$\;1\,\colon\,1$$
  • $$\;5\,\colon\,1$$
  • $$\;12\,\colon\,1$$
Solve the inequality:
$$\displaystyle 4\left (3-x \right )\leq 16$$
  • $$ x\ge -7\quad $$ 
  • $$ x\ge -1\quad $$
  • $$\ x\le -1\quad $$
  • None of these
If $$47.2506 $$ $$\displaystyle =4A+\frac{7}{B}+2C+\frac{5}{D}+6E,$$ then the value of $$5A + 3B + 6C + D + 3E$$  is:
  • $$63.6003$$
  • $$53.603$$
  • $$153.6003$$
  • $$213.0003$$
The sum of the squares of $$2$$ numbers is $$146$$ and the square root of one of them is $$\displaystyle \sqrt {5}$$. The cube of the other number is
  • $$1111$$
  • $$1221$$
  • $$1331$$
  • $$1441$$
Solve the given inequality: $$−5≤3x−2<7$$, where $$x\epsilon R$$
  • $$-1 ≤ x <3$$
  • $$-1 ≤ x <2$$
  • $$-2 ≤ x <3$$
  • None
The solution of $${\left | 2x-3 \right |<5}$$ is
  • $${(-\infty ,-1)\cup (4,\infty)}$$,
  • $$(-1,4)$$
  • $${(-1, \infty)}$$,
  • $${( -\infty, 4)}$$
A boat takes $$2\ hours$$ to travel $$8\ km$$ and back in a still water lake. With water velocity of $$4\ km/h$$, the time taken for going upstream of $$8\ km$$ and coming back is
  • $$160\ minutes$$
  • $$80\ minutes$$
  • $$320\ minutes$$
  • $$180\ minutes$$
In a lottery a total of $$200$$ prizes are to be given. A prize is either Rs $$500$$ or Rs $$100$$. If the total prize money is Rs $$50000$$, then the number of Rs $$500$$ and Rs $$100$$ prizes are?
  • $$70, 130$$
  • $$75, 125$$
  • $$60, 140$$
  • $$80, 120$$
$$X$$ is $$36$$ years old and $$Y$$ is $$16$$ years old. In how many years will $$X$$ be twice as old as $$Y$$?
  • $$1$$ year
  • $$2$$ years
  • $$3$$ years
  • $$4$$ years
If $$\dfrac{-3}{5}= \dfrac{-24}{x}$$, then $$x= $$
  • $$40$$
  • $$-40$$
  • $${\pm }$$ $$40$$
  • None
If a : b = b : c then $$\displaystyle a^{4}:b^{4}$$ is equal to
  • $$\displaystyle ac:b^{2}$$
  • $$\displaystyle a^{2}:c^{2}$$
  • $$\displaystyle c^{2}:a^{2}$$
  • $$\displaystyle b^{2}:ac$$
Solve $$\displaystyle 5\left (2x+1 \right)\leq 35,$$ where x is a natural number.
  • $$x\le3$$
  • $$x= \{1,3\}$$
  • $$x=3$$
  • $$x= {3,4,5,6.......\infty}$$
Solve the inequality:$$\displaystyle \left | 4x-3 \right |\geq 5$$
  • $$\displaystyle \left ( \infty ,-2 \right )\cup \left (-1/2 ,\infty \right )$$
  • $$\displaystyle \left ( -\infty ,-1/2 \right )\cup \left (2 ,\infty \right )$$
  • $$\displaystyle \left ( -\infty ,1/2 \right )\cup \left (-2 ,-\infty \right )$$
  • none of the above
The ratio of the number of boys and girls in a college is 7 : 8 If the percentage increase in the number of boys and girls be 20% and 10% respectively what will be the new ratio?
  • 8 : 9
  • 17 : 18
  • 21 : 22
  • Cannot be determined
A number to the 8th power divided by the same number to the 4th power isWhat is the number?
  • 2
  • 6
  • 4
  • 8
Solve the inequality: $$\displaystyle \left | 2x+6 \right |\leq 16$$
  • $$-10\le x \le -5 $$
  • $$ -16\le  x \le 0 $$
  • $$ -11\le  x \le 5$$
  • $$-16\le  x \le 16 $$
If $$a + b + c = abc$$, then how many real number solutions are possible ?
  • Unique Solution
  • No Solution
  • Two Solutions
  • Infinite Solutions
If $$\displaystyle \left | x+3 \right |\leq 3$$, then find minimum value of $$|x+1|$$.
  • $$0$$
  • $$3$$
  • $$2$$
  • $$1$$
If $$\displaystyle \left | x+3 \right |> -5 $$ then find the solution set for the inequality
  • $$R$$
  • $$N$$
  • $$W$$
  • $$I$$
Which of the following number line represents the solution of the inequality
$$15 < 4x + 3 \le 31$$ ?
426388.png
State true or flase
If you multiply an inequality by a negative number, inequality reverses
  • False
  • True
0:0:1


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