JEE Main Test 66

Result

JEE Main Test 66

Score
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Rank
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TIME Taken - -

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Weekly Quiz Competition

Question 1
4 / -1

Eight chairs are numbered 1 to 8. Two women and three men wish to occupy one chair each. First the women choose the chairs from amongst the chairs marked 1 to 4 ; and then the men select the chairs from amongst the remaining. The number of possible arrangements is

A

B

C

D
none of these

Solution

Sum of digits in the units placed formed by the digits 1,2,3,4.

Sum of digits = 3!(1 + 2 + 3 + 4)

= 3 × 2(10)

= 6(10)

= 60
Question 2
4 / -1

An iron sphere of mass 20 × 10^-3 kg falls through a viscous liquid with terminal velocity 0.5 ms^-1 . The terminal velocity (in ms^-1) of another iron sphere of mass 54 × 10^-2 kg is

A
4.5

B
3.5

C
2.5

D
1.5

Solution
Question 3
4 / -1

The number of triangles which can be formed by using the vertices of a regular polygon of (n + 3) sides is 220. Then, n is equal to

A
8

B
9

C
10

D
11

Solution
Question 4
4 / -1

A vessel contains oil (density 0.8 gcm^-3) over mercury (density 13.6 gcm^-3 ). A homogeneous sphere floats with half volume immersed in mercury and the other half in oil. The density of the material of the sphere in gcm^-3 is

A
12.8

B
7.2

C
6.4

D
3.3

Solution
Question 5
4 / -1

The remainder left out when 8²ⁿ – (62)²ⁿ⁺¹ is divided by 9, is

A
0

B
2

C
7

D
8

Solution
Question 6
4 / -1

The temperature-entropy diagram of a reversible engine cycle is given in the figure. Its efficiency is

A
1/2

B
1/4

C
1/3

D
2/3

Solution
Question 7
4 / -1

A
(2, –5, 3)

B
(5, –5, -3)

C
(5, –4, –2)

D
(5, –4, –4)

Solution
Question 8
4 / -1

A
depends on height of breaking

B
does not shift

C
body C

D
body B

Solution

The acceleration of centre of mass in both B and C is same, equal to g.
Question 9
4 / -1

A

B
0

C

D
5I

Solution
Question 10
4 / -1

A diatomic molecule has a dipole moment of 1.2 D. If its bond distance of 1.0 Å, what fraction of an electronic charge, e, exist on each atom

A
25% of e

B
50% of e

C
60% of e

D
75% of e

Solution