JEE Main Test 120

Result

JEE Main Test 120

Score
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Rank
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TIME Taken - -

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Weekly Quiz Competition

Question 1
4 / -1

If p, q, r and s are positive real numbers such that p + q + r + s = 2, then M = (p + q) (r + s) satisfies the relation

A
0 < M ≤ 1

B
1 ≤ M ≤ 2

C
2 ≤ M ≤ 3

D
3 ≤ M ≤ 4

Solution
Question 2
4 / -1

A cube of side 40 mm has its upper face displaced by 0.1 mm by a tangential force of 8 kN. The shearing modulus of cube is

A
2 × 10⁹ Nm^-2

B
4 × 10⁹ Nm^-2

C
8 × 10⁹ Nm^-2

D
16 × 10⁹ Nm^-2

Solution
Question 3
4 / -1

A
4

B
6

C
7

D
8

Solution
Question 4
4 / -1

A thermodynamic system is taken from an initial state i with internal energy U_i =100 J to the fmal state f along two different paths iaf and ibf as schematically shown in the figure. The work done by the system along the paths af, ,ib and bf are W_af = 200 J, W_ib = 50 J and W_bf =100 J, respectively. The heat supplied to the system along the path iaf, ,ib and bf are Q_iaf ,Q_ib and Q_bf respectively. If the internal energy of the system in the state b is U_b = 200 J and Q_iaf = 500 J, the ratio Q_bf/Q_ib is

A
2 : 1

B
1 : 2

C
3 : 1

D
1 : 3

Solution
Question 5
4 / -1

Three liquids of equal masses are taken in three identical cubical vessels A, B and C. Their densities are ρ_A , ρ_B and ρ_C respectively but ρ _A< ρ_B < ρ_C . The force exerted by the liquid on the base of the cubical vessel is

A
maximum in vessel C

B
minimum in vessel C

C
the same in all the vessels

D
maximum in vessel A

Solution

Three liquids of equal masses are taken in three identical cubical vessel, A.B.C.

∴ m_A = m_B = m_C.

Force exerted by the liquid on the base of the vessel is F = mg

∴ F_A = F_B = F_C

∴ The same I all the vessel.
Question 6
4 / -1

If (1 + χ )¹⁵ = a₀ + a₁ χ +...+ a₁₅ χ¹⁵ , then

A
110

B
115

C
120

D
135

Solution
Question 7
4 / -1

The sink temperature of a heat engine 77°C. The efficiency is 30%. The source temperature is

A
500°C

B
227°C

C
317°C

D
427°C

Solution
Question 8
4 / -1

Two point objects of mass 1.5 g and 2.5 g respectively are at a distance of 16 cm apart, the centre of gravity is at a distance x from the object of mass 1.5 g, where x is

A
10 cm

B
6 cm

C
13 cm

D
3 cm

Solution

∴ Momentum of force about centre of

Gravity ‘G’ is given by

(1.5)x = 2.5(16 – x )

8x = 80

x = 10cm
Question 9
4 / -1

One solid sphere A and another hollow sphere B are of same mass and same outer radius. Their moments of inertia about their diameters are respectively I_A and I_B such that

Note: d_A and d_B are their densities.

A
I_A = I_B

B
I_A > I_B

C
I_A < I_B

D

Solution
Question 10
4 / -1

If I denotes the 3 × 3 identity matrix and P is a matrix obtained by rearranging the columns of I. Then,

A
there are six distinct choices for P and det(P) = 1

B
there are six distinct choices for P and det(p) = ± 1

C
there are more than one choices for P and some of them are not invertible

D
there are more than choices for P and P^-1 = I in each choice

Solution