MCQ 511 Mark
The number of solutions of $3^{x+y}=243$ and $243^{x-y}=3$ is
- A$0$
- ✓1
- C2
- Dinfinite
Answer
View full question & answer→Correct option: B.
1
B
Questions · Page 2 of 2
M.C.Q (1 Marks)
MCQ 521 Mark
If $217 x+131 y=913$ and $131 x+217 y=827$, then $x+y$ is equal to
- ✓5
- B6
- C7
- D8
Answer
View full question & answer→Correct option: A.
5
A
MCQ 531 Mark
One equation of a pair of dependent linear equations is $-5 x+7 y=2$. The second equation is
- A$10 x+14 y+4=0$
- B$-10 x-14 y+4=0$
- C$-10 x+14 y+4=0$
- ✓$10 x-14 y=-4$
Answer
View full question & answer→Correct option: D.
$10 x-14 y=-4$
D
MCQ 541 Mark
The value of $k$ for which the lines $5 x+7 y=3$ and $15 x+21 y=k$ coincide is
- ✓9
- B5
- C7
- D18
Answer
View full question & answer→Correct option: A.
9
A
MCQ 551 Mark
If $x=a, y=b$ is the solution of the pair of linear equations $37 x+43 y=123,43 x+37 y=117$, then $a^3+b^3$ is equal to
- A-7
- B7
- ✓9
- D-9
Answer
View full question & answer→Correct option: C.
9
C
MCQ 561 Mark
Aruna has only ₹ $1$ and ₹ $2$ coins with her. If the total number of coins that she has is 50 and the amount of money with her is ₹ $75$, then the number of ₹ $1$ and ₹ $2$ coins are, respectively
- A35 and 15
- B35 and 20
- C15 and 35
- ✓25 and 25
Answer
View full question & answer→Correct option: D.
25 and 25
D
MCQ 571 Mark
The sum of the digits of a two digit number is 9 . If 27 is added to it, the digits of the number get reversed. The number is
- A25
- B72
- C63
- ✓36
Answer
View full question & answer→Correct option: D.
36
D
MCQ 581 Mark
The area of the triangle formed by the lines $x=3, y=4$ and $x=y$ is
- ✓$1 / 2$ sq. unit
- B1 sq. unit
- C2 sq. unit
- DNone of these
Answer
View full question & answer→Correct option: A.
$1 / 2$ sq. unit
A
MCQ 591 Mark
The area of the triangle formed by the lines $y=x, x=6$ and $y=0$ is
- A36 sq. units
- ✓18 sq. units
- C9 sq. units
- D72 sq. units
Answer
View full question & answer→Correct option: B.
18 sq. units
B
MCQ 601 Mark
If $2 x-3 y=7$ and $(a+b) x-(a+b-3) y=4 a+b$ represent coincident lines, then $a$ and $b$ satisfy the equation
- A$a+5 b=0$
- B$5 a+b=0$
- ✓$a-5 b=0$
- D$5 a-b=0$
Answer
View full question & answer→Correct option: C.
$a-5 b=0$
C
MCQ 611 Mark
If the system of equations
$\begin{array}{l}2 x+3 y=7 \\2 a x+(a+b) y=28\end{array}$
has infinitely many solutions, then
$\begin{array}{l}2 x+3 y=7 \\2 a x+(a+b) y=28\end{array}$
has infinitely many solutions, then
- A$a=2 b$
- ✓$b=2 a$
- C$a+2 b=0$
- D$2 a+b=0$
Answer
View full question & answer→Correct option: B.
$b=2 a$
B
MCQ 621 Mark
If $a m \neq b l$, then the system of equations $a x+b y=c$ and, $l x+m y=n$
- ✓has a unique solution
- Bhas no solution
- Chas infinitely many solutions
- Dmay or may not have a solution.
Answer
View full question & answer→Correct option: A.
has a unique solution
A
MCQ 631 Mark
If the system of equations $3 x+y=1$ and, $(2 k-1) x+(k-1) y=2 k+1$ is inconsistent, then $k=$
- A1
- B$0$
- C-1
- ✓2
Answer
View full question & answer→Correct option: D.
2
D
MCQ 641 Mark
If the system of equations $2 x+3 y=7$ and, $(a+b) x+(2 a-b) y=21$ has infinitely many solutions, then
- A$a=1, b=5$
- ✓$a=5, b=1$
- C$a=-1, b=5$
- D$a=5, b=-1$
Answer
View full question & answer→Correct option: B.
$a=5, b=1$
B
MCQ 651 Mark
If the sum of the ages of a father and his son in years is 65 and twice the difference of their ages in years is 50 , then the age of father is
- A40 years
- ✓45 years
- C55 years
- D65 years.
Answer
View full question & answer→Correct option: B.
45 years
B
MCQ 661 Mark
The pair of linear equations $3 x+5 y=3$ and $6 x+k y=8$ do not have a solution, if $k$
- A$=5$
- ✓$=10$
- C$\neq 10$
- D$\neq 5$
Answer
View full question & answer→Correct option: B.
$=10$
B
MCQ 671 Mark
If $A B C D$ is a rectangle shown in Fig. then
- ✓$x=10, y=2$
- B$x=12, y=8$
- C$x=2, y=10$
- D$x=20, y=0$
Answer
View full question & answer→Correct option: A.
$x=10, y=2$
A
MCQ 681 Mark
8 chairs and 5 tables cost ₹$10,500$, while 5 chairs and 3 tables cost ₹$6,450$. The cost of each chair will be
- ✓750
- B600
- C850
- D900
Answer
View full question & answer→Correct option: A.
750
A
MCQ 691 Mark
The pair of linear equatins $y=0$ and $y=-5$ has
- Aone solution
- Btwo solutions
- Cinfinitely many solutions
- ✓no solution
Answer
View full question & answer→Correct option: D.
no solution
D
MCQ 701 Mark
If $x=a, y=b$ is the solution of the systems of equations $x-y=2$ and $x+y=4$, then the values of $a$ and $b$ are, respectively
- ✓3 and 1
- B3 and 5
- C5 and 3
- D- 1 and - 3
Answer
View full question & answer→Correct option: A.
3 and 1
A
MCQ 711 Mark
If the system of equations $k x-5 y=2,6 x+2 y=7$ has no solution, then $k=$
- A-10
- B-5
- C-6
- ✓-15
Answer
View full question & answer→Correct option: D.
-15
D
MCQ 721 Mark
If the system of equations $2 x+3 y=5,4 x+k y=10$ has infinitely many solutions, then $k=$
- A1
- B$\frac{1}{2}$
- C3
- ✓6
Answer
View full question & answer→Correct option: D.
6
D
MCQ 731 Mark
If a pair of linear equations in two variables is consistent, then the lines represented by two equations are
- Aintersecting
- Bparallel
- Calways coincident
- ✓intersecting or coincident
Answer
View full question & answer→Correct option: D.
intersecting or coincident
D
MCQ 741 Mark
The value of $k$ for which the system of equations $\begin{array}{l}x+2 y=5 \\ 3 x+k y+15=0\end{array}$ has no solution is
- ✓6
- B-6
- C$3 / 2$
- Dnone of these
Answer
View full question & answer→Correct option: A.
6
A
MCQ 751 Mark
The value of $k$ for which the system of equations $3 x+5 y=0$ and $k x+10 y=0$ has a non-zero tion, is
- A$0$
- B2
- ✓6
- D8
Answer
View full question & answer→Correct option: C.
6
C
MCQ 761 Mark
The value of $k$ for which the system of equations $x+2 y-3=0$ and $5 x+k y+7=0$ has no ation, is
- ✓10
- B6
- C3
- D1
Answer
View full question & answer→Correct option: A.
10
A
MCQ 771 Mark
The value of $k$ for which the system of equations $2 x+3 y=5$ and, $4 x+k y=10$ has infinite mber of solutions, is
- A1
- B3
- ✓6
- D$0$
Answer
View full question & answer→Correct option: C.
6
C
MCQ 781 Mark
The value of $k$ for which the system of equations $k x-y=2$ and, $6 x-2 y=3$ has a unique lution, is
- A$=3$
- ✓$\neq 3$
- C$\neq 0$
- D$=0$
Answer
View full question & answer→Correct option: B.
$\neq 3$
B