MCQ 11 Mark
If $8 x+9 y=42 x y$ and $2 x+3 y=12 x y$, then the value of $\frac{1}{x y}$ is :
View full question & answer→MCQ 21 Mark
If $a x-b y=a^2+b^2$ and $\frac{x+y}{2}=a$, then the value of $x-y$ is :
View full question & answer→MCQ 31 Mark
If $0.4 x+0.3 y=2.3$ and $2.5 x-2 y=-5$, then the value of $x y$ is :
View full question & answer→MCQ 41 Mark
Assertion (A) : A pair of linear equations in two variables cannot have more than one solution.
Reason (R) : If we solve a pair of linear equations in two variables, first by elemination method and then by cross multiplication method, then in some cases the two solutions so obtained may be different.
MCQ 51 Mark
Assertion (A) : $\frac{2}{m}+\frac{3}{m}=0$ and $\frac{2}{3 m}+\frac{2}{n}=\frac{1}{6}$ is a pair of simultaneous linear equations.
Reason (R) : An equation of the form $a x+b y+c=0, a \neq 0, b \neq 0$ is called a linear equation in two variables.
View full question & answer→MCQ 61 Mark
Assertion (A) : If $8 x+7 y=37$ and $7 x+8 y=38$, then $x=-2, y=3$.
Reason (R) : $a x+b y=c$ and $b x+a y=d$ is not a pair of simultaneous linear equations in two variables.
View full question & answer→MCQ 71 Mark
If $\angle A =2 x, \angle B=(6 y+10), \angle C =(2 x+y)$ and $\angle D =(x+10)$ are the angles of a quadrilateral, then the value of $x$ and $y$ will be :
- ✓
$x=40, y=20$
- B
$x=20, y=40$
- C
$x=45, y=15$
- D
$x=15, y=45$
AnswerCorrect option: A. $x=40, y=20$
View full question & answer→MCQ 81 Mark
42 mangoes are to be distributed among some boys and girls. If each boy is given 3 mangoes, then each girl gets 6 mangoes and if each boy gets 5 mangoes, then each girl gets 3 mangoes. The number of boys and girls will be :
MCQ 91 Mark
A boat takes 10 hours to go 44 km downstream and 30 km upstream. Again, the same boat takes 13 hours to go 55 km downstream and 40 km upstream. The speed of the boat and the current will be:
- A
speed of boat = 3 kmph, speed of current = 2 kmph
- B
speed of boat = 6 kmph, speed of current = 4 kmph
- C
speed of boat = 9 kmph, speed of current = 2 kmph.
- ✓
speed of boat = 8 kmph, speed of current = 3 kmph
AnswerCorrect option: D. speed of boat = 8 kmph, speed of current = 3 kmph
View full question & answer→MCQ 101 Mark
X takes 3 hours more than $Y$ to walk a distance of 30 km , but if $X$ doubles his race, he is able to be ahead of Y by $1 \frac{1}{2}$ hours, then speed of their walking will be :
- ✓
X's speed $=\frac{10}{3} km / hr$, Y's speed $=5 km / hr$
- B
X's speed $=5 km / hr$, Y's speed $=\frac{10}{3} km / hr$
- C
X's speed $=10 km / hr$, Y's speed $=\frac{5}{3} km / hr$
- D
X's speed $=\frac{5}{3} km / hr$, Y's speed $=10 km / hr$
AnswerCorrect option: A. X's speed $=\frac{10}{3} km / hr$, Y's speed $=5 km / hr$
View full question & answer→MCQ 111 Mark
A bag contains some one-rupee coins and some fifty-paisa coins. The total amount is ₹140. If half of the one-rupee coins are replaced by fifty-paisa coins, then the amount becomes ₹115. The coins of each type in the bag initially, were :
- ✓
one-rupee coins = 100 and fifty-paisa coins = 80
- B
one-rupee coins = 80 and fifty-paisa coins = 100
- C
one-rupee coins = 110 and fifty-paisa coins = 80
- D
one-rupee coins = 70 and fifty-paisa coins = 90
AnswerCorrect option: A. one-rupee coins = 100 and fifty-paisa coins = 80
View full question & answer→MCQ 121 Mark
Five years ago, Bharat was thrice as old as Rajat. Ten years later, Bharat will be twice as old as Rajat. The difference between their present ages is :
MCQ 131 Mark
The sum of the digits of a two digit number is 9. Also, nine times this number is twice the number obtained by reversing the order of the digits. Then the original number is:
MCQ 141 Mark
2 tables and 3 chairs together costs ₹ 1,075 and 3 tables and 8 chairs together costs ₹ 1,875. The cost of 4 tables and 5 chairs together will be:
MCQ 151 Mark
The solution of $0.4 x+3 y=1.2$ and $7 x-2 y=\frac{17}{6}$ is :
- A
$x=\frac{1}{3}, y=\frac{1}{2}$
- ✓
$x=\frac{1}{2}, y=\frac{1}{3}$
- C
$x=\frac{1}{3}, y=1$
- D
$x=0, y=\frac{1}{2}$
AnswerCorrect option: B. $x=\frac{1}{2}, y=\frac{1}{3}$
View full question & answer→MCQ 161 Mark
The solution of $\sqrt{5} x-\sqrt{7} y=0$ and $\sqrt{3} y+\sqrt{13} x=0$ is :
- ✓
$x=0, y=0$
- B
$x=0, y=1$
- C
$x=1, y=0$
- D
$x=1, y=1$
AnswerCorrect option: A. $x=0, y=0$
View full question & answer→MCQ 171 Mark
If $x$ and $y$ are real numbers and $(2 x 1)^2+(3 y \quad 1)^2=0$, then $\left(\frac{1}{x^2}+\frac{1}{y^2}\right)=$
- A
- ✓
- C
$\frac{1}{13}$
- D
$-\frac{1}{13}$
View full question & answer→MCQ 181 Mark
If $\frac{x}{6}+6=y, \frac{3 x}{4}=1+y$, then :
- ✓
$x=12, y=8$
- B
$x=10, y=8$
- C
$x=8, y=12$
- D
$x=12, y=6$
AnswerCorrect option: A. $x=12, y=8$
View full question & answer→MCQ 191 Mark
The solution of the simultaneous equations $2 x+\frac{1}{y}=0$ and $3 x+\frac{1}{2 y}=2$ is :
- A
$x=1, y=1$
- B
$x=4, y=6$
- ✓
$x=1, y=\frac{1}{2}$
- D
$x=12, y=6$.
AnswerCorrect option: C. $x=1, y=\frac{1}{2}$
View full question & answer→MCQ 201 Mark
The solution of the simultaneous equations $\frac{x}{2} \quad \frac{y}{3}=0$ and $\frac{3 x}{2}+\frac{2 y}{3}+10=0$ is :
- A
$x=1, y=1$
- B
$x=8, y=12$
- C
$x=1, y=\frac{1}{2}$
- ✓
$x=4, y=6$
AnswerCorrect option: D. $x=4, y=6$
View full question & answer→MCQ 211 Mark
The solution of the simultaneous equations $3 x \quad 2 y=5$ and $x+2 y=1$ is :
- A
$x=4, y=6$
- ✓
$x=1, y=1$
- C
$x=10, y=8$
- D
$x=1, y=\frac{1}{2}$
AnswerCorrect option: B. $x=1, y=1$
View full question & answer→MCQ 221 Mark
If $\angle A =2 x^{\circ}, \angle B =(6 y+10)^{\circ}, \angle C =(2 x+y)^{\circ}$ and $\angle D =(x+10)^{\circ}$ are the angles of a quadrilateral, then the value of $x$ and $y$ will be :
- ✓
$x=40^{\circ}, y=20^{\circ}$
- B
$x=20^{\circ}, y=40^{\circ}$
- C
$x=45^{\circ}, y=15^{\circ}$
- D
$x=15^{\circ}, y=45^{\circ}$
AnswerCorrect option: A. $x=40^{\circ}, y=20^{\circ}$
View full question & answer→MCQ 231 Mark
42 mangoes are to be distributed among some boys and girls. If each boy is given 3 mangoes, then each girl gets 6 mangoes and if each boy gets 5 mangoes, then each girl gets 3 mangoes. The number of boys and girls will be :
MCQ 241 Mark
A boat takes 10 hours to go 44 km downstream and 30 km upstream. Again, the same boat takes 13 hours to go 55 km downstream and 40 km upstream. The speed of the boat and the current will be :
- A
speed of boat = 3 kmph, speed of current = 2 kmph.
- B
speed of boat = 6 kmph, speed of current = 4 kmph
- C
speed of boat = 9 kmph, speed of current = 2 kmph.
- ✓
speed of boat = 8 kmph, speed of current = 3 kmph
AnswerCorrect option: D. speed of boat = 8 kmph, speed of current = 3 kmph
View full question & answer→MCQ 251 Mark
X takes 3 hours more than Y to walk a distance of 30 km , but if X doubles his race, he is able to be ahead of Y by $1 \frac{1}{2}$ hours, then speed of their walking will be :
- ✓
$X ' s$ speed $=\frac{10}{3} km / hr , Y$ 's speed $=5 km / hr$
- B
$X ' s$ speed $=5 km / hr , Y$ 's speed $=\frac{10}{3} km / hr$
- C
$X ' s$ speed $=10 km / hr , Y$ 's speed $=\frac{5}{3} km / hr$
- D
X 's speed $=\frac{5}{3} km / hr , Y$ 's speed $=10 km / hr$
AnswerCorrect option: A. $X ' s$ speed $=\frac{10}{3} km / hr , Y$ 's speed $=5 km / hr$
View full question & answer→MCQ 261 Mark
A bag contains some one-rupee coins and some fifty-paisa coins. The total amount is ₹ 140. If half of the one-rupee coins are replaced by fifty-paisa coins, then the amount becomes ₹ 115. The coins of each type in the bag initially, were :
- ✓
one-rupee coins = 100 and fifty-paisa coins = 80
- B
one-rupee coins = 80 and fifty-paisa coins = 100
- C
one-rupee coins = 110 and fifty-paisa coins = 80
- D
one-rupee coins = 70 and fifty-paisa coins = 90
AnswerCorrect option: A. one-rupee coins = 100 and fifty-paisa coins = 80
View full question & answer→MCQ 271 Mark
Five years ago, Bharat was thrice as old as Rajat. Ten years later, Bharat will be twice as old as Rajat. The difference between their present ages is :
MCQ 281 Mark
The sum of the digits of a two digit number is 9 . Also, nine times this number is twice the number obtained by reversing the order of the digits. Then the original number is:
MCQ 291 Mark
2 tables and 3 chairs together costs ₹ 1,075 and 3 tables and 8 chairs together costs ₹ 1,875. The cost of 4 tables and 5 chairs together will be :
MCQ 301 Mark
The solution of $0.4 x+3 y=1.2$ and $7 x-2 y=\frac{17}{6}$ is :
- A
$x=\frac{1}{3}, y=\frac{1}{2}$
- ✓
$x=\frac{1}{2}, y=\frac{1}{3}$
- C
$x=\frac{1}{3}, y=1$
- D
$x=0, y=\frac{1}{2}$
AnswerCorrect option: B. $x=\frac{1}{2}, y=\frac{1}{3}$
View full question & answer→MCQ 311 Mark
The solution of $\sqrt{5} x-\sqrt{7} y=0$ and $\sqrt{3} y+\sqrt{13} x=0$ is :
- ✓
$x=0, y=0$
- B
$x=0, y=1$
- C
$x=1, y=0$
- D
$x=1, y=-1$
AnswerCorrect option: A. $x=0, y=0$
View full question & answer→MCQ 321 Mark
If $x$ and $y$ are real numbers and $(2 x-1)^2+(3 y-1)^2=0$, then $\left(\frac{1}{x^2}+\frac{1}{y^2}\right)=$
- A
- ✓
- C
$\frac{1}{13}$
- D
$-\frac{1}{13}$
View full question & answer→MCQ 331 Mark
If $\frac{x}{6}+6=y, \frac{3 x}{4}=1+y$, then :
- ✓
$x=12, y=8$
- B
$x=10, y=8$
- C
$x=8, y=12$
- D
$x=12, y=6$.
AnswerCorrect option: A. $x=12, y=8$
View full question & answer→MCQ 341 Mark
The solution of the simultaneous equations $2 x+\frac{1}{y}=0$ and $3 x+\frac{1}{2 y}=-2$ is :
- A
$x=1, y=\frac{1}{2}$
- B
$x=1, y=-\frac{1}{2}$
- ✓
$x=-1, y=\frac{1}{2}$
- D
$x=-1, y=-\frac{1}{2}$
AnswerCorrect option: C. $x=-1, y=\frac{1}{2}$
View full question & answer→MCQ 351 Mark
The solution of the simultaneous equations $\frac{x}{2}-\frac{y}{3}=0$ and $\frac{3 x}{2}+\frac{2 y}{3}+10=0$ is :
- A
$x=4, y=6$
- B
$x=4, y=-6$
- C
$x=-4, y=6$
- ✓
$x=-4, y=-6$.
AnswerCorrect option: D. $x=-4, y=-6$.
View full question & answer→MCQ 361 Mark
The solution of the simultaneous equations $3 x-2 y=5$ and $x+2 y=-1$ is :
- A
$x=1, y=1$
- ✓
$x=1, y=-1$
- C
$x=-1, y=1$
- D
$x=-1, y=-1$.
AnswerCorrect option: B. $x=1, y=-1$
View full question & answer→MCQ 371 Mark
Assertion (A): A pair of linear equations in two variables cannot have more than one solution.
Reason (R): If we solve a pair of linear equations in two variables, first by elemination method and then by cross multiplication method, then in some cases the two solutions so obtained may be different.
MCQ 381 Mark
Assertion (A) : $\frac{2}{m}+\frac{3}{m}=0$ and $\frac{2}{3 m}+\frac{2}{n}=\frac{1}{6}$ is a pair of simultaneous linear equations.
Reason (R) : An equation of the form $a x+b y+c=0, a \neq 0, b \neq 0$ is called a linear equation in two variables.
View full question & answer→MCQ 391 Mark
Assertion (A) : If 8x + 7y = 37 and 7x + 8y = 38 then x = - 2, y = 3.
Reason (R) : ax + by = c and bx + ay = d is not a pair of simultaneous linear equations in two variables.