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
If one root of the quadratic equation \({x^2} - 4x + 1 = 0\) is \(2 - \sqrt 3 \). The other root will be
  • A
    3
  • B
    none of these
  • C
    \(2 + \sqrt 3 \)
    Correct
  • D
    \(2 - \sqrt 3 \)
2
The average of 5 consecutive numbers is n. If the next two numbers are also included, the average will
  • A
    increase by 2
  • B
    increase by 1
    Correct
  • C
    increase by 1.4
  • D
    remain the same
3
If \(\tan \alpha - \cot \alpha = 0,0 < \alpha < 90\), the value of \(\left( {\sin \alpha - \cos \alpha } \right)\) is
  • A
    0
    Correct
  • B
    2
  • C
    1
  • D
    -2
4
If \(\cos ec(50 - \theta ) = \sec (40 - 50)\)= sec(40 – 50) then value of \(\theta \) When 0<\(\theta \)<90, is:-
  • A
    \(\frac{{100}}{3}\)
  • B
    18
  • C
    30
    Correct
  • D
    \(\frac{{10}}{3}\)
5
The curved surface area of a cone is twice the curved surface area of other cone and the slant height of latter is twice the slant height of first cone. Find the ratio of their radii?
  • A
    1:4
  • B
    41:22
  • C
    22:41
  • D
    4:1
    Correct
6
Find the length of the largest rod that can be placed in a box whose dimensions are 30 cm, 24 cm and 18 cm?
  • A
    \(30\sqrt 2 \)
    Correct
  • B
    30
  • C
    \(30\sqrt 3 \)
  • D
    \(30\sqrt 5 \)
7
Decrease of 25% in Rs 500 will give a total of
  • A
    Rs 625
    Correct
  • B
    Rs 475
  • C
    Rs 375
  • D
    Rs 525
8
Increase of a% & decrease of b% subsequently denoted by.
  • A
    \(\left( {a - b + \frac{{ab}}{{100}}} \right)\% \)
  • B
    \(\left( {a - b - \frac{{ab}}{{100}}} \right)\% \)
    Correct
  • C
    none of these
  • D
    \(\left( {a + b + \frac{{ab}}{{100}}} \right)\% \)
9
In a shop, price marked on articles are 20% above cost price shopkeeper allows a discount & gain 8% discount % will be-
  • A
    10%
    Correct
  • B
    20%
  • C
    25%
  • D
    15%
10
Dinesh covers a distance in 50 min at a speed of 60 km/hr to reduce the time taken by 10%, he will drive at a speed of-
  • A
    66 km/hr
  • B
    60 km/hr
  • C
    70 km/hr
  • D
    \(66\frac{2}{3}\) km/h
    Correct
11
A bus runs from A to a place B in one hour & 20 min. if the speed of the bus is 42km/h. the distance between places A to B
  • A
    54 km
    Correct
  • B
    42 km
  • C
    63 km
  • D
    40 km
12
If a leakage can empties a full tanker in 8 hours then what part of tanker will be emptied in 1 hour?
  • A
    8
  • B
    \(\frac{1}{8}\)
    Correct
  • C
    \(\frac{1}{2}\)
  • D
    \(\frac{1}{4}\)
13
A & B can do a piece of work in 10 days. A alone can do it in 15 days. How long will B alone take to do the work?
  • A
    35 days
  • B
    30 days
    Correct
  • C
    25 days
  • D
    10 days
14
Books in three shelves of an almirah in library are in the ratio 2:3:5 If 20 books are increased on each shelf, the ratio change to 4:5:7. Originally how many books were there in the almirah?
  • A
    80
  • B
    100
    Correct
  • C
    120
  • D
    140
15
In four halls there are 168 teachers attending a seminar such that the ratio of teachers sitting In rooms I, II, III & IV are as follows I:II =8:9, II:III = 3:4, III:IV = 12:13. What will be the number of teachers in each hall?
  • A
    32,36,48,52
    Correct
  • B
    30,36,48,54
  • C
    32,34,50,52
  • D
    32,38,48,50
16
Find third proportional of 9 & 12
  • A
    10
  • B
    16
    Correct
  • C
    9
  • D
    12
17
If a sum become double in 16 years then how much it become in 8 years?
  • A
    \(3\frac{1}{2}\)
  • B
    2
  • C
    \(1\frac{1}{2}\)
    Correct
  • D
    3
18
The probability of having 53 Mondays in a leap year is?
  • A
    \(\frac{1}{5}\)
  • B
    \(\frac{3}{7}\)
  • C
    \(\frac{2}{7}\)
    Correct
  • D
    \(\frac{1}{7}\)