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
The roots of the equation: \(3{x^2} - 7x + 4 = 0\) are
  • A
    irrationals
  • B
    complex numbers
  • C
    positive integers
  • D
    rationals
    Correct
2
A man goes at the speed of 5 km/hour from P to Q and returns at the speed of 3 km/hour from Q to P. The average speed of whole journey is
  • A
    4.5 km/hr
  • B
    0.25 km/hr
  • C
    4 km/hr
  • D
    3.75 km/hr
    Correct
3
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 Number of zeroes/roots of the polynomial equation \({x^4} + 1 = 0\) will be
  • A
    3
  • B
    4
    Correct
  • C
    2
  • D
    1
4
The sum of two sides of a triangle in comparison to third side is always
  • A
    greater
    Correct
  • B
    less
  • C
    no relation
  • D
    equal
5
In an isosceles right angled triangle PQR, angle Q =90 then value of 2 sinp cosp is
  • A
    \(\sqrt 2 \)
  • B
    \(\frac{1}{{\sqrt 2 }}\)
  • C
    \(\frac{1}{2}\)
    Correct
  • D
    1
6
If the circumference of edge of a hemisphere is 132 cm, find the radius of hemisphere:
  • A
    10.5 cm
  • B
    21 cm
    Correct
  • C
    21.5 cm
  • D
    21.2 cm
7
If Kunal‟s salary is 150% of Ashu‟s salary &Ashu‟s salary is 80% of Kunal‟s salary .then the ratio of salaries of Kunal & Ashu.
  • A
    15:8
  • B
    5:6
    Correct
  • C
    3:4
  • D
    4:5
8
Kartikay sold two articles for RS 297 each, gaining 10% an one & losing 10% on the other. Find gain % or loss %
  • A
    gain 1%
  • B
    loss 1%
    Correct
  • C
    p 2%
  • D
    neither gain nor loss
9
A train 100 m long passes a bridge in 25 sec. moving at a speed of 72 km/hr. what is the length of bridge.
  • A
    600 m
  • B
    300 m
  • C
    200 m
  • D
    400 m
    Correct
10
If a train has to cross a platform it has to cover a distance equal to
  • A
    length of train - length of platform
  • B
    length of train + length of platform
    Correct
  • C
    length of train \( \times \) length of platform
  • D
    length of train \( \div \) length of length of platform
11
Pipe A can fill a tank in 20 min. & pipe B can empty it in 30 min. If both are opened together, in what time will the tank be filled?
  • A
    50 min.
  • B
    1 hour
    Correct
  • C
    45 min.
  • D
    10 min.
12
A,B,C enter into partnership. A invest Rs 1400 for 8 months, B Rs 1800 for 7 months & C Rs 2100 for 4 months, they gain Rs 690 together. The share of A,B,C will be
  • A
    none of these
  • B
    180,240,270
  • C
    270,240,180
  • D
    240,270,180
    Correct
13
When 30% of a number is added to another number, the second number increases to 140%. The ratio between the first & second number will be
  • A
    7:4
  • B
    7:3
  • C
    4:3
    Correct
  • D
    3:4
14
What will be compound interest on Rs 15000 at 8% per annum for 1 year compounded half yearly.
  • A
    Rs 1000
  • B
    Rs 1300
  • C
    Rs 1200
  • D
    Rs 1224
    Correct
15
A person borrowed Rs 500 at the rate of 5% per annum at S.I what amount will he pays to clear the debt after 4 year?
  • A
    Rs 600
    Correct
  • B
    Rs 400
  • C
    Rs 500
  • D
    Rs 450
16
In a bag there is 7 red, 5 white, and 9 black balls. If a ball is drawn from a bag, what is the probability of it not a red ball?
  • A
    \(\frac{3}{2}\)
  • B
    \(\frac{2}{3}\)
    Correct
  • C
    \(\frac{1}{3}\)
  • D
    1
17
The mean of 15 numbers is 25. If 4 is subtracted from every number, what will be the new mean?
  • A
    21
    Correct
  • B
    29
  • C
    11
  • D
    19
18
A cricketer has an average score of 60 runs in 10 innings. The number of runs he has to take in eleventh inning, to raise the mean score to 62 is:
  • A
    62
  • B
    82
    Correct
  • C
    2
  • D
    22