MTH 101 Study Mode

Try this quiz in CBT Mode
MTH 101 in CBT Mode

Please share this quiz link to your friends, they might need it!

Quiz link
you can share this link with your friends
copy link veiw live

Join Discuss Share Question Share to WhatsApp
Question 1
A
{2, 3} 
B
{2, 3, 4} 
C
{3, 4, 6} 
D
{2} 
Explanation.
Share Answer

T = {evenn numbers from 1 to 12}
N = {common factors of 6,8 and 12}
Find T ∩ N
T = {2, 4, 6, 8, 10, 12}
N = {2}
T ∩ N = {2} i.e value common to T & N


Correct Option:
D

Join Discuss Share Question Share to WhatsApp
Question 2
A

\(\frac{1}{3}\)

 
B

\(\frac{2}{8}\)

 
C

\(\frac{3}{7}\)

 
D

\(\frac{1}{8}\)

 
Explanation.
Share Answer 2, 1, \(\frac{1}{2}\), \(\frac{1}{4}\).....

There are 4 terms in the series
Therefore the next number will be the 5th term

Tn = ar\(^{n - 1}\) (formular for geometric series)

a = first term = 2

r = common rate = \(\frac{\text{next term}}{\text{previous term}}\) = \(\frac{1}{2}\)

n = number of terms

T5 = 5th term = ?

T5 = ar\(^{5 - 1}\)

= ar\(^4\)

= 2 \(\times\) (ar\(^{n - 1}\))4

= 2 \(\times\) \(\frac{1}{16}\)

= \(\frac{1}{8}\)

Correct Option:
D

Join Discuss Share Question Share to WhatsApp
Question 3
A
\(\frac{3}{4}\) 
B
\(\frac{3}{10}\) 
C
\(\frac{1}{4}\) 
D
\(\frac{1}{20}\) 
Explanation.
Share Answer U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}

E1 = {3, 6, 9, 12, 15, 18}

E2 = {4, 8, 12, 16, 20}

Probability of E2 = \(\frac{5}{20}\) i.e \(\frac{\text{Total number in}E_2}{\text{Entire number in set}}\)

Probability of set E2 = 1 ? \(\frac{5}{20}\)

= \(\frac{15}{20}\)

= \(\frac{3}{4}\)

Correct Option:
A

Join Discuss Share Question Share to WhatsApp
Question 4
A

2.6cm

 
B

3.5cm

 
C

3.6cm

 
D

7.0cm

 
Explanation.
Share Answer Curved surface area of cylinder = 2πrh

110 = 2 \(\times\) \(\frac{22}{7}\) \(\times\) r \(\times\) 5

r = \(\frac{110 \times 7}{44 \times 5}\)

= 3.5cm

Correct Option:
B

Join Discuss Share Question Share to WhatsApp
Question 5
A

q - \(\frac{8}{7}\)

 
B

7 - \(\frac{q}{4}\)

 
C

8 - \(\frac{q}{2}\)

 
D

7 + \(\frac{q}{8}\)

 
Explanation.
Share Answer Y = Px2 + q

Y = 2x2 - 1

Px2 + q = 2x2 - 1

Px2 = 2x2 - 1 - q

p = \(\frac{2x^2 - 1 - q}{x^2}\)

at x = 2

P = \(\frac{2(2)^2 - 1 - q}{2^2}\)

= \(\frac{2(4) - 1 -q}{4}\)

= \(\frac{8 - 1 - q}{4}\)

P = \(\frac{7 - q}{4}\)

Correct Option:
B

Join Discuss Share Question Share to WhatsApp
Question 6
A

\(\frac{\sqrt{3}}{2\sqrt{2}}\)

 
B

-3 - \(\frac{1}{2}\)

 
C

\(\frac{1}{2}\)-2

 
D

1 + \(\frac{\sqrt{2}}{2}\)

 
Explanation.
Share Answer

hypotenuse
sin = \(\frac{1}{2}\)

\(\sin45 = \frac{1}{\sqrt{2}}\)

= \(\frac{2}{2}\)

= (sin45 + sin30)

= \(\frac{1}{\sqrt{2}} + \frac{1}{2}\)

= \(\frac{\sqrt{2}}{2}\) + \(\frac{1}{2}\)

= \(\frac{\sqrt{2} + 1}{2}\)

= \(\frac{1 + \sqrt{2}}{2}\)


Correct Option:
D

Join Discuss Share Question Share to WhatsApp
Question 7
A
\(\frac{- \pi}{2}\) 
B
-1 
C
D
\(\frac{ \pi}{2}\) 
Explanation.
Share Answer

y = xsinx

\(\frac{dy}{dx} = 1 \sin x + x \cos x \)

= \(\sin x + x \cos x\)

At x = \(\frac{\pi}{2}\)

= sin\(\frac{\pi}{r}\) + \(\frac{\pi}{2} \cos {\frac{\pi}{2}}\)

= 1 + \(\frac{\pi}{2}\) \(\times\) 10

= 1


Correct Option:
C

Join Discuss Share Question Share to WhatsApp
Question 8
A

24oC

 
B

20oC

 
C

34oC

 
D

30oC

 
Explanation.
Share Answer t α h, t = 20, h

t = ? h = 60

t = kh where k is constant

20 = 50k

k = \(\frac{20}{50}\)

k = \(\frac{2}{5}\)

when h = 60, t = ?

t = \(\frac{2}{5}\) \(\times\) 60

t = 24oC

Correct Option:
A


Join Discuss Share Question Share to WhatsApp
Question 10
A
\(\frac{\text{NSL}}{M}\) 
B
\(\frac{N^2SL}{M^2}\) 
C
\(\frac{N^2SL}{M}\) 
D
\(\frac{NSL}{M^2}\) 
Explanation.
Share Answer M = \(\frac{\sqrt{SL}}{T}\),

make T subject of formula square both sides

M2 = \(\frac{N^2SL}{T}\)

TM2 = N2SL

T = \(\frac{N^2SL}{M^2}\)

Correct Option:
B

Next Page
Question Map