JEE Main Test 95

Result

JEE Main Test 95

Score
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Rank
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Weekly Quiz Competition

Question 1
4 / -1

In a ∆PQR, if 3 sin P + 4 cos Q = 6 and 4 sin Q + 3 cos P = 1, then ∠R is equal to

A
5π/6

B
π/6

C
π/4

D
3π/4

Solution
Question 2
4 / -1

If cos (α + β ) = 4/5 and sin (α - β ) = 5/13, where 0 ≤ α ,β ≤ π/4, then tan 2α is equal to

A
25/16

B
56/33

C
19/12

D
20/7

Solution
Question 3
4 / -1

A charged ball B hangs from a silk thread S, which makes an angle θ with a large charged conducting sheet P, as shown in the figure. The surface charge density σ of the sheet is proportional to

A
cos θ

B
cot θ

C
sin θ

D
tan θ

Solution
Question 4
4 / -1

Each of the properties of sound in List I primarily depends on one of the quantities in List II. Select the correct answer (matching List I with List II) as per code given below the

A
A = 1, B = 2, C = 3

B
A = 3, B = 2, C = 1

C
A = 2, B = 3, C = 1

D
A = 2, B = 1, C = 3

Solution
Question 5
4 / -1

If sin^-1 a + sin^-1 b + sin^-1 c = π, then the value of a√(1- a²) + b √(1 - b²) + c√(1 - c²) will be

A
2abc

B
abc

C
(1/2)abc

D
(1/3) abc

Solution
Question 6
4 / -1

What is the equivalent resistance between A and B in the given circuit?

A
4 Ω

B
2 Ω

C
8/3 Ω

D
3/8 Ω

Solution
Question 7
4 / -1

In the capacitor shown in the circuit is charged to 5 V and left in the circuit, in 12s the charge on the capacitor will become

(e = 2.718)

A
10/e C

B
e/10 C

C
10/e² C

D
e²/10 C

Solution
Question 8
4 / -1

A metal disc of radius 100 cm is rotated at a constant angular speed of 60 rads ^-1 in a plane at right angles to an external field of magnetic induction 0.05 Wbm^-2. The end' induced between the centre and a point on the rim will be

A
3 V

B
1.5 V

C
6V

D
9 V

Solution
Question 9
4 / -1

If the line px² - qxy - y² = 0 makes the angles α and β with X - axis, then the value of tan (α + β) is

A
-q / 1+p

B
q / 1+p

C
p / 1+q

D
-p / 1+q

Solution
Question 10
4 / -1

A solenoid of inductance 2 H carries a current 1 A. What is the magnetic energy stored in a solenoid ?

A
2 J

B
1 J

C
4 J

D
5 J

Solution