Pair Of Linear Equations In Two Variables Test

Pair Of Linear Equations In Two Variables

This is Pair of Linear Equations in Two Variables Test-05 for CBSE class 10 Maths.. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
4 chairs and 3 tables cost Rs.2100 and 5 chairs and 2 tables costs Rs1750. The cost of a chair is
  • A
    Rs.500
  • B
    Rs.250
  • C
    Rs.350
  • D
    Rs.150
    Correct
2
I am three times as old as my son. Five years later, I shall be two and a half times as old as my son. My present age is
  • A
    50 years
  • B
    15 years
  • C
    45 years
    Correct
  • D
    20 years
3
A fraction becomes \(\frac{9}{{11}}\), if 2 is added to both the numerator and denominator. If 3 is added to both the numerator and denominator it becomes \(\frac{5}{6}\), then the fraction is
  • A
    \(\frac{{ - 9}}{7}\)
  • B
    \(\frac{9}{7}\)
  • C
    \(\frac{7}{9}\)
    Correct
  • D
    \(\frac{{ - 7}}{9}\)
4
The sum of the digits of a two digit number is 9. Nine times this number is twice the number obtained by reversing the digits, then the number is
  • A
    27
  • B
    18
    Correct
  • C
    81
  • D
    72
5
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
  • A
    72
  • B
    63
  • C
    27
  • D
    36
    Correct
6
The sum of the numerator and denominator of a fraction is 18. If the denominator is increased by 2, the fraction reduces to \(\frac{1}{3}\). The fraction is
  • A
    \(\frac{5}{{13}}\)
    Correct
  • B
    \(\frac{{ - 5}}{{13}}\)
  • C
    \(\frac{{ - 7}}{{11}}\)
  • D
    \(\frac{7}{{11}}\)
7
Half the perimeter of a rectangular garden, whose length is 4m more than its width is 36m. The area of the garden is
  • A
    \(\begin{array}{*{20}{l}} {320{\text{ }}{m^2}} \end{array}\)
    Correct
  • B
    \(\begin{array}{*{20}{l}} {360{\text{ }}{m^2}} \end{array}\)
  • C
    \(\begin{array}{*{20}{l}} {300{\text{ }}{m^2}} \end{array}\)
  • D
    \(\begin{array}{*{20}{l}} {{\text{400 }}{m^2}} \end{array}\)
8
The difference between two numbers is 26 and one number is three times the other. The numbers are
  • A
    39 and 13
    Correct
  • B
    36 and 10
  • C
    30 and 10
  • D
    none of these
9
Ritu can row downstream 20 km in 2 hours and upstream 4 km in 2 hours. The speed of the current is
  • A
    8 km/hr
  • B
    6 km/hr
  • C
    4 km/hr
    Correct
  • D
    12 km/hr
10
The sum of two numbers is 35 and their difference is 13. The numbers are
  • A
    25 and 12
  • B
    24 and 11
    Correct
  • C
    20 and 15
11
The sum of two numbers is 8. If their sum is four times their difference, then the numbers are
  • A
    none of these.
  • B
    6 and 2
  • C
    5 and 3
    Correct
  • D
    7 and 1
12
The larger of the two supplementary angles exceeds the smaller by\(18^\circ \) . The smaller angle is
  • A
    \(99^\circ \)
  • B
    \(100^\circ \)
  • C
    \(81^\circ \)
    Correct
  • D
    \(180^\circ \)
13
In \(\Delta ABC\) , if \(\angle A{\text{ }} = {\text{ }}x^\circ \) , \(\angle B{\text{ }} = {\text{ }}3x^\circ \) and \(\angle C{\text{ }} = {\text{ }}y^\circ \). If 3y – 5x = 30, then \(\angle B{\text{ }} = \)
  • A
    \(45^\circ \)
  • B
    \(60^\circ \)
  • C
    \(30^\circ \)
  • D
    \(90^\circ \)
    Correct
14
In\(\Delta ABC\) , if \(\angle C{\text{ }} = {\text{ }}3\angle B{\text{ }} = {\text{ }}2(\angle A{\text{ }} + \angle B),{\text{ }}then\angle C{\text{ }} = \)
  • A
    \(150^\circ \)
  • B
    \(60^\circ \)
  • C
    \(90^\circ \)
  • D
    \(120^\circ \)
    Correct
15
In a cyclic quadrilateral ABCD, if \(\angle A{\text{ }} = {\text{ }}\left( {2x{\text{ }}--{\text{ }}1} \right)^\circ \), \(\angle B{\text{ }} = {\text{ }}\left( {{\text{y + 5}}} \right)^\circ \), \(\angle C{\text{ }} = {\text{ }}\left( {2y{\text{ + 15}}} \right)^\circ \) and \(\angle D{\text{ }} = {\text{ }}\left( {4x{\text{ }}--{\text{ 7}}} \right)^\circ \), then the value of \(\angle C\) is
  • A
    \(65^\circ \)
  • B
    \(115^\circ \)
    Correct
  • C
    \(55^\circ \)
  • D
    \(125^\circ \)