Class 11 PSA Quantitative Reasoning Test

Class 11 · PSA Quantitative Reasoning

This is online test for Class 11 PSA Quantitative Reasoning Test. There are 18 questions in this test with each question having around four answer choices.

Questions & Answers

1
Which is a quadratic equation
  • A
    \(x + \frac{1}{x} = 2\)
    Correct
  • B
    \(x\left( {{x^2} - 1} \right) = 7\)
  • C
    \({x^2} - \frac{1}{x} = 1\)
  • D
    \(\sqrt x \left( {3x + 2} \right) = 4\)
2
The product of the roots of then quadratic equation \(2{x^2} + 5x - 7 = 0\) is
  • A
    \( - \frac{5}{2}\)
  • B
    \( \frac{7}{2}\)
  • C
    \(\frac{5}{2}\)
  • D
    \( - \frac{7}{2}\)
    Correct
3
The average temperature on Monday, Tuesday and Wednesday was 36 degrees C. Average temperature on Tuesday, Wednesday and Thursday was 38 deg. C. If the temperature on Thursday was 37 deg. C, then the temperature on Monday was
  • A
    33.5 degree C
  • B
    37 degree C
  • C
    38 degree C
  • D
    31 degree C
    Correct
4
Five years ago, the average age of A,B,C,D was 45 years with E joining them now. The average of all the five is 49 years. How old is E
  • A
    25 years
  • B
    40 years
  • C
    45 years
    Correct
  • D
    64 years
5
Fundamental Theorem of algebra says that any polynomial equation of degree n has n roots – real or complex and no more also complex and irrational roots exists in pair contrary to it any trigonometric equation has infinite number of roots If one zero/root of the polynomial equation \({x^2} - 4x + 1 = 0\) is \(2 + \sqrt 3 \) then the other root will be
  • A
    none of these
  • B
    2
  • C
    \(2 - \sqrt 3 \)
    Correct
  • D
    \(\sqrt 3 \)
6
If the sum and product of roots are -2 and -3 respectively, then the quadratic equation is
  • A
    \({x^2} - 2x + 3 = 0\)
  • B
    \({x^2} - 2x - 3 = 0\)
  • C
    \({x^2} + 2x + 3 = 0\)
  • D
    \({x^2} + 2x - 3 = 0\)
    Correct
7
If three or more than three points lie on the same line then the points are called
  • A
    intersecting points
  • B
    collinear points
    Correct
  • C
    concurrent points
  • D
    non-collinear points
8
If p+ 5 \(\cos e{c^2}73 - 5{\tan ^2}27\)= 5sec 0 then value of p is
  • A
    0
    Correct
  • B
    1
  • C
    \(\frac{1}{7}\)
  • D
    7
9
If half the circumference of a circle is a 154 cm. then diameter of the circle is \(\pi = \frac{{22}}{7}\)
  • A
    86 cm
  • B
    78 cm
  • C
    64 cm
  • D
    98 cm
    Correct
10
If the volume and surface area of a sphere is numerically same then its radius is
  • A
    3.5
  • B
    2
  • C
    3
    Correct
  • D
    \(3\pi \)
11
If M.P. is Rs 200 & a discount of 25% is given then S.P. is
  • A
    Rs 150
    Correct
  • B
    Rs 225
  • C
    Rs 250
  • D
    Rs 175
12
How long will a metro train 80 m long, travelling at 120 km/hr take to pass a pole.
  • A
    \(2\frac{2}{5}\) sec
    Correct
  • B
    \(1\frac{2}{5}\) sec
  • C
    1 sec
  • D
    \(1\frac{1}{5}\) sec
13
If a train has to cross a pole, distance travelled by it is –
  • A
    none of these
  • B
    length of pole
  • C
    length of platform
  • D
    length of train
    Correct
14
If A finishes a work in 10 days and B alone can do the same in 15 days then1 day work of both working together will be-
  • A
    \(\frac{1}{{10}}\)
  • B
    \(\frac{1}{{10}} - \frac{1}{{15}}\)
  • C
    \(\frac{1}{{10}} + \frac{1}{{15}}\)
    Correct
  • D
    \(\frac{1}{{15}}\)
15
If A finishes a piece of work in 10 days then, 1 day work of A will be-
  • A
    \(\frac{1}{{10}}\)
    Correct
  • B
    \(\frac{1}{2}\)
  • C
    1
  • D
    \(\frac{1}{5}\)
16
Divide 275 toffees among A,B& C such that the ratio between A&B is 3:7& that between B&C is 2:5 then B has _______ toffees
  • A
    1
  • B
    60
  • C
    75
  • D
    70
    Correct
17
Divide Rs 1050 among A, B & C so that A shall receive \(\frac{2}{5}\) as much as B & C together & B shall receive \(\frac{3}{7}\) of what A&C together receive
  • A
    none of these
  • B
    Rs 309, Rs 305, Rs 445
  • C
    Rs 310, Rs 315, Rs 425
  • D
    Rs 300, Rs 315, Rs 435
    Correct
18
What will be simple interest on Rs 600 at the rate \(3\frac{1}{2}\) % per annum for 4 year?
  • A
    Rs 80
  • B
    Rs 84
    Correct
  • C
    Rs 87
  • D
    Rs 90