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 of the following number is rational
  • A
    \(\sqrt {13} \)
  • B
    \(\sqrt {29} \)
  • C
    \(\sqrt {121} \)
    Correct
  • D
    none
2
Four years ago, at the time of marriage, the average age of a couple was 20 years. Now they have a child of age 3 years, then average age of this family is
  • A
    17 years
    Correct
  • B
    \(15\frac{2}{3}\) years
  • C
    16 years
  • D
    \(16\frac{1}{3}\) years
3
Euler’s formula for convex surface is V + F = E + 2, where V=vertices, F=faces and E= edges Number of edges in a cone will be according to formula
  • A
    1
  • B
    3
  • C
    1
  • D
    formula not applicable
    Correct
4
Let in similar triangles ABC and DEF areas are 64 \(c{m^2}\) and 121 \(c{m^2}\) respectively if EF = 15.4cmthenBC will be
  • A
    11.2 cm
    Correct
  • B
    9.6 cm
  • C
    43.2 cm
  • D
    15 cm
5
If \(\sin 5\alpha = \cos 7\alpha \) then value of \(12\alpha \) is
  • A
    90
    Correct
  • B
    30
  • C
    60
  • D
    1
6
How much sheet will be required to make a container with lid whose length is 13m, breadth is 8 m and height is 4m
  • A
    \(416{m^2}\)
  • B
    \(376{m^2}\)
    Correct
  • C
    \(256{m^2}\)
  • D
    \(400{m^2}\)
7
In an examination 15% student fail in subject A &10% fail in object B. If 2% student fail in both. Find percentage of student pass in both?
  • A
    23%
  • B
    77%
    Correct
  • C
    27%
  • D
    73%
8
The price of sugar rises from Rs 36 kg to Rs 45 kg. no increase in expenditure will have to reduce the consumption by-
  • A
    50%
  • B
    25%
  • C
    15%
  • D
    20%
    Correct
9
A pen when sold at a profit of \(7\frac{1}{2}\% \) yields Rs 7.50 more than when it is sold at a loss of \(7\frac{1}{2}\% \) then cost prices of pen will be
  • A
    Rs 40
  • B
    Rs 50
    Correct
  • C
    Rs 45
  • D
    Rs 56
10
Dhruv sold an articles to Puru at a gain of10%. Puru sold to tosh at a loss of 10%. Tosh paid Rs396 for the articles then cost of articles for Dhruv will be
  • A
    Rs 440
  • B
    Rs 392.04
  • C
    Rs 400
    Correct
  • D
    Rs 360
11
A train is 160 m long & is running at a speed of 60 km/h. find the time that it will take to pass a person who is running at 10 km/h in the direction of train.
  • A
    11 sec
  • B
    10.08 sec
  • C
    10.52 sec
  • D
    11.52 sec
    Correct
12
Pipe A can fill a tank in \(2\frac{1}{2}\) hrs, but due to a leakage in the bottom of tank it taken 15 min., longer to fill it. If the tank be full & the pipe be turned off, in how much time the tank be emptied by the leakage.
  • A
    27 hours
  • B
    \(27\frac{1}{2}\) hours
    Correct
  • C
    5 hours
  • D
    55 hours
13
Divide the profit of Rs 69230 among three partners A, B and C who invest their capitals in the ratio of their ages .If \(\frac{2}{3}\) of A‟s age = \(\frac{4}{3}\) of B‟s age and also equal to 5/6 of C‟ sage:
  • A
    Rs 30100, Rs 15050, RS 24080
    Correct
  • B
    Rs 15050, Rs 24080, Rs 30100
  • C
    Rs 15050, Rs 30100, Rs 24080
  • D
    none
14
Richa, Nishi &Priya rented a room together for one year at Rs 28800. They remained together for 4 months & then Priya left the room after 5 month Nishi also left the room , how much rent should each pay?
  • A
    Rs 16200, Rs 9400,Rs 3200
  • B
    Rs 16400, Rs 9200,Rs 3200
    Correct
  • C
    Rs 16000, Rs 9000,Rs 3800
  • D
    Rs 16000, Rs 8000,Rs 4800
15
The difference in compound interest and simple interest on a certain amount at 10% per annum at the end of third year is Rs 620. What is the principal amount?
  • A
    Rs 20000
    Correct
  • B
    Rs 25000
  • C
    Rs 10000
  • D
    Rs 15000
16
If population of certain city is 10648. If it increases at the rate .10% per annum. What was the population of city 3 years ago?
  • A
    6000
  • B
    5000
  • C
    8000
    Correct
  • D
    10000
17
Which one cannot be the probability of an event
  • A
    \(\frac{2}{3}\)
  • B
    -1.5
    Correct
  • C
    0.7
  • D
    15%
18
If probability of winning a game is \(\frac{7}{{11}}\) then what is the probability of its losing
  • A
    \(\frac{3}{{11}}\)
  • B
    \(\frac{2}{{11}}\)
  • C
    1
  • D
    \(\frac{4}{{11}}\)
    Correct