QUADRATIC EQUATIONS Test

QUADRATIC EQUATIONS

This is QUADRATIC EQUATIONS Test-02 for CBSE class 10 Maths.. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
The common root of \(2{x^2} + x - 6 = 0\) and \({x^2} - 3x - 10 = 0\) is
  • A
    5
  • B
    \(\frac{3}{2}\)
  • C
    2
  • D
    – 2
    Correct
2
The product of two successive integral multiples of 5 is 1050. Then the numbers are
  • A
    30 and 35
    Correct
  • B
    35 and 40
  • C
    25 and 42
  • D
    25 and 30
3
The roots of the quadratic equation \(9{a^2}{b^2}{x^2} - 16abcdx - 25{c^2}{d^2} = 0\) are
  • A
    \(\frac{{25cd}}{{9ab}}{\text{ }}and{\text{ }}\frac{{cd}}{{ab}}\)
  • B
    \(\frac{{ - 25cd}}{{9ab}}{\text{ }}and{\text{ }}\frac{{ - cd}}{{ab}}\)
  • C
    \(\frac{{ - 25cd}}{{9ab}}{\text{ }}and{\text{ }}\frac{{cd}}{{ab}}\)
  • D
    \(\frac{{25cd}}{{9ab}}{\text{ }}and{\text{ }}\frac{{ - cd}}{{ab}}\)
    Correct
4
The sum of reciprocals of Sharma’s age 3 years ago and 5 years from now is \(\frac{1}{3}\), then his present age is
  • A
    7 years
    Correct
  • B
    10 years
  • C
    6 years
  • D
    8 years
5
A train travels 360km at a uniform speed. If the speed had been 5 km/hr more, it would have taken 1 hour less for the same journey, then the actual speed of the train is
  • A
    48 km/hr
  • B
    36 km /hr
  • C
    40 km/hr
    Correct
  • D
    45 km/hr
6
Rohan’s mother is 26 years older than him. The product of their ages 3 years from now will be 360, then Rohan’s present age is
  • A
    7 years
    Correct
  • B
    8 years
  • C
    6 years
  • D
    10 years
7
By a reduction of Re.1 per kg in the price of sugar, Radha can buy one kg sugar more for Rs.56. The original price of 1 kg of sugar is
  • A
    Rs.7
  • B
    Rs.6
  • C
    Rs.9
  • D
    Rs.8
    Correct
8
500 bananas were divided equally among a certain number of students. If there were 25 more students, each would have received one banana less. Then the number of students is
  • A
    100
    Correct
  • B
    250
  • C
    500
  • D
    125
9
If I had walked 1 km per hour faster, I would have taken 10 minutes less to walk 2km. Then the rate of my walking is
  • A
    6 km /hr
  • B
    4 km/hr
  • C
    3 km/hr
    Correct
  • D
    8 km/hr
10
A cyclist takes 2 hours less to cover a distance of 200 km, if he increases his speed by 5 km/hr. Then his original speed is
  • A
    25 km/hr
  • B
    20 km/hr
    Correct
  • C
    24 km/hr
  • D
    26 km /hr
11
A takes 10 days less than the time taken by B to finish a piece of work. If both A and B together can finish the work in 12 days, then the time taken by B to finish the work is
  • A
    30 days
    Correct
  • B
    25 days
  • C
    28 days
  • D
    20 days
12
A rectangular field is 16m long and 10m wide. There is a path of uniform width all around it having an area of 120 sq.m, then the width of the path is
  • A
    3m
  • B
    2m
    Correct
  • C
    4m
  • D
    5m
13
The perimeter of a right triangle is 70cm and its hypotenuse is 29cm. The area of the triangle is
  • A
    180 sq.cm
  • B
    250 sq.cm
  • C
    210 sq.cm
    Correct
  • D
    200 sq.cm
14
A two digit number is such that the product of the digits is 20. When 9 is added to the number then the digits interchange their places. The number is
  • A
    54
  • B
    none of these
  • C
    50
  • D
    45
    Correct
15
A two digit number is such that the product of the digits is 12. When 36 is added to the number then the digits interchange their places. The number is
  • A
    26
    Correct
  • B
    34
  • C
    43
  • D
    62