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

Which one of the following number will be terminating

A
\(\frac{6}{{15}}\)
Correct
B
\(\frac{{77}}{{210}}\)
C
\(\frac{6}{{151}}\)
D
\(\frac{{129}}{{{2^2}{5^7}{7^5}}}\)

The average price of three items is Rs. 15000. If their prices are in the ratio 3:5:7, the price of cheapest item is

A
Rs 18000
B
Rs 21000
C
Rs 15000
D
Rs 9000
Correct

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 Which one of the equation is a polynomial equation:-

A
\(3{x^{\frac{3}{2}}} + 5x - 1 = 0\)
B
sin x+x=0
C
\(\frac{{\left( {{x^2} - 2x + 5} \right)}}{{\left( {x - 1} \right)}} = 0\)
D
\({x^3} - 2{x^2} + 5 = 0\)
Correct

If sum of two adjacent angles is 180 the angles will be called

A
complementary angles
B
vertically opposite angles
C
supplementary angles
Correct
D
linear pair of angles

No. of lines passing through a single point is

A
five
B
one
C
infinite
Correct
D
two

The value of \(\tan \left( {\frac{\pi }{2} - \alpha } \right) - \sin \left( {\frac{\pi }{2} - \alpha } \right)\cos \left( {\frac{\pi }{2} - \alpha } \right)\) is

A
\({\tan ^2}\alpha \)
B
\(\frac{1}{{{{\tan }^2}\alpha }}\)
C
\(\frac{{\left( {{{\cos }^3}\alpha } \right)}}{{\sin \alpha }}\)
Correct
D
\(\frac{1}{{{{\sec }^2}\alpha }}\)

One diagonal and perimeter of a rhombus are 24cm and 52cm respectively. The other diagonal is \(\pi = \frac{{22}}{7}\)

A
15 cm
B
10 cm
Correct
C
12 cm
D
13 cm

Increase of a% & decrease of b% subsequently denoted by.

A
\(\left( {a - b - \frac{{ab}}{{100}}} \right)\% \)
Correct
B
none of these
C
\(\left( {a - b + \frac{{ab}}{{100}}} \right)\% \)
D
\(\left( {a + b + \frac{{ab}}{{100}}} \right)\% \)

Increase of 20% in Rs 400 gives a total of

A
Rs 320
B
Rs 420
C
Rs 380
D
Rs 480
Correct

The cost price of 20 articles is same as selling price of articles. If profit is 25% than x equals-

A
18
B
17
C
15
D
16
Correct

A takes 50 minutes during a journey. If he reduce time taken by 20% then he has to complete the same journey in-

A
40 min.
Correct
B
55 min.
C
10 min.
D
60 min.

If speed of boat in still water is x km/hr& speed of stream is y km/hr, then speed upstream &speed downstream are

A
(x-y)km/hr,(x+y)km/hr
Correct
B
(y-x)km/hr,(x+y)km/hr
C
(x+y)km/hr,(x-y)km/hr
D
x km/hr, y km/hr

A & B working together can finish a work in 24 days. The same work can be finished by B & C working together in 30days. If C & A work together they can finish the same work in 40days. The number of days A, B & C separately can finish are

A
40,60,20
B
20,40,60
C
60,40,20
Correct
D
40,40,20

A can do a piece of work in 12 days & B can in 20 days. B begins the work & after 4 days is joined by A. how long will they take to finish the remaining work?

A
4 days
B
6 days
Correct
C
8 days
D
16 days

The rate at which a sum become four times of itself in 15 year at S.I

A
15%
B
25%
C
18%
D
20%
Correct

In what time a sum will become three times of itself at the rate of 10% per annum?

A
15 years
B
10 years
C
25 years
D
20 years
Correct

If the observation: 29,32,48,50,x,x+2,72,78,84,95 are put in ascending order and mean is given as 63. Then value of x will be

A
64
B
62
Correct
C
50
D
52

A class teacher has recorded absent of her 40 students during a session. Mean, mode and median of a student absents of the following data will be No. of days 0-6 6-12 12-18 18-24 24-30 30-36 36-42 No. of students 4 6 8 10 8 6 4

A
equal
Correct
B
mean=mode
C
mean>mode>median
D
different