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
What is the value of \(\frac{{\left( {p + q} \right)}}{{\left( {p - q} \right)}}\), if$\frac{p}{q} = \frac{7}{3}?$?
  • A
    \(\frac{3}{2}\)
  • B
    \(\frac{5}{3}\)
  • C
    \(\frac{5}{2}\)
    Correct
  • D
    \(\frac{4}{2}\)
2
Which of the following is a proper fraction?
  • A
    \(\frac{3}{5}\)
    Correct
  • B
    \(\frac{7}{3}\)
  • C
    \(\frac{3}{5}\) & \(3\frac{1}{2}\)
  • D
    \(3\frac{1}{2}\)
3
Shivani has twice as much money as Adityaand, Aditya has 50 % more money than what Sahil has. If the average money with them is Rs. 110, then Shivani has Rs.
  • A
    180
    Correct
  • B
    60
  • C
    90
  • D
    55
4
The average weight of 6 boys decreases by 3 kg when one of them weighing 80 kg is replaced by a new boy. The weight of new boy is
  • A
    62 kg
    Correct
  • B
    58 kg
  • C
    72 kg
  • D
    56 kg
5
Euler’s formula for convex surface is V + F = E + 2, where V=vertices, F=faces and E= edges If number of faces in a cuboid are 6, number of vertices are 8, then number of edges will be
  • A
    14
  • B
    8
  • C
    12
    Correct
  • D
    10
6
Number of faces in a tetrahedron will be
  • A
    8
  • B
    4
    Correct
  • C
    6
  • D
    None of these
7
To draw a plane we need at least points-
  • A
    5 points
  • B
    2 points
  • C
    infinite number of points
  • D
    3 points
    Correct
8
For similarity criterion in triangle which one we have to take as axiam
  • A
    RHS
  • B
    ASA
  • C
    SAS
    Correct
  • D
    AAS
9
If \(\sec \alpha = \frac{2}{3}\) then value of \(9{\tan ^2}\alpha + 9\) is
  • A
    4
    Correct
  • B
    5
  • C
    9
  • D
    6
10
If \(4m\left( {co{s^2}\alpha - {{\cos }^3}\alpha } \right) + 1 - {\sin ^2}\alpha + 1 - {\cos ^2}\alpha = 2{\cos ^2}\alpha {\sin ^2}\alpha + 1\) then value of m is:
  • A
    2
  • B
    3
  • C
    \(\frac{1}{2}\)
    Correct
  • D
    \(\frac{1}{3}\)
11
The volume a cylindrical pipe is 7392\(c{m^3}\). Its length is 21cm and its external diameter is 22cm. its thickness is.
  • A
    4 cm
  • B
    0.5 cm
  • C
    3 cm
    Correct
  • D
    2 cm
12
If the perimeter of a circle is increased by 20%, then area will be increased by
  • A
    40%
  • B
    46%
  • C
    44%
    Correct
  • D
    48%
13
In an examination a candidate who secures 30% of the maximum marks fails by 24 marks & another candidate who secures 35% of maximum marks gets 16 marks more than necessary to pass. Then maximum marks are
  • A
    700
  • B
    800
    Correct
  • C
    900
  • D
    600
14
In an office 80% prefer tea, 40% prefer coffee. If each of them prefer tea or coffee & 80 like both then total number of workers in the office will be.
  • A
    200
  • B
    300
  • C
    none
  • D
    400
    Correct
15
A person sold an articles at a gain of 20%. had he bought it at 20% loss & sold it for Rs20 more he would have gained 60%. Find the cost price of the articles.
  • A
    Rs 300
  • B
    Rs 200
  • C
    Rs 150
  • D
    Rs 250
    Correct
16
A swimmer swims 36 km with the stream in 6 hours & 40 km against the stream in 8 hours. His speed in still water is-
  • A
    4.5 km/hr
  • B
    5.5 km/hr
  • C
    6 km/hr
  • D
    6.5 km/hr
    Correct
17
For doing a certain work, A‟s ability is equal to the joint ability of B & C. if A & B together could do it in 6 hours 36 min.& C by himself in 48 hours, in what time could B alone do it?
  • A
    12 hours
  • B
    24 hours
    Correct
  • C
    12 hours and 18 mins.
  • D
    10 hours
18
6 women and 5 children together can finish a work in 6 days. 3 women & 4 children together completes the same work in 10 days. Time taken by 9 woman & 15 children to finish the work is -
  • A
    3 days
    Correct
  • B
    5 days
  • C
    4 days
  • D
    \(3\frac{1}{2}\) days