JEE Main Test 74

Result

JEE Main Test 74

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Weekly Quiz Competition

Question 1
4 / -1

if f(x) = 2x⁴ - 13x² + ax + b is divisible by x² - 3x +2, then(a,b) is equal to

A
(-9,-2)

B
(6,4)

C
(9,2)

D
(2,9)

Solution
Question 2
4 / -1

The ratio by which the line 2x + 5y - 7 = 0 divides the straight line joining the points (- 4, 7) and (6, - 5) is

A
1 : 4

B
1 : 2

C
1 : 1

D
2 : 3

Solution
Question 3
4 / -1

Let [ε₀ ] denotes the dimensional formula of the permittivity of vacuum. If M = mass, L = length, T = time and A = electric current, then

A
[ε₀ ] =[M^-1 L^-3 T² A]

B
[ε₀ ] = [M^-1 L^-3 T⁴ A²]

C
[ε₀ ] = [M^-2 L² T^-1 A^-2]

D
[ε₀ ] = [M^-1 L² T^-1 A²]

Solution
Question 4
4 / -1

The greatest number among ∛9, ∜11 and

A
∛9

B
∜11

C

D
Cannot be determined

Solution
Question 5
4 / -1

20.0 g of a magnesium carbonate sample decomposes on heating to give carbon dioxide and 8.0 g magnesium oxide. What will be the percentage purity of magnesium carbonate in the sample ?

A
75

B
96

C
60

D
84

Solution
Question 6
4 / -1

The number of hydrogen atoms present in 25.6 g of sucrose (C₁₂H₂₂O₁₁ ) which has a molar mass of 342.3 g is

A
22 x 10²³

B
9.91 x 10²³

C
11 x 10²³

D
44 x 10²³

Solution
Question 7
4 / -1

The height y and the distance x along the horizontal plane of a projectile on a certain planet (with no surrounding atmosphere) are given by y = 8t – 5t² metre and x= 6t metre, where t is in second. The velocity with which the projectile is projected, is

A
14 ms ^-1

B
10 ms ^-1

C
8 ms ^-1

D
6 ms ^-1

Solution
Question 8
4 / -1

If both the roots of the equation χ² - 6aχ + 2 – 2a + 9a² = 0 exceed 3, then

A
a < ½

B
a > ½

C
a < 1

D
a > 11/9

Solution
Question 9
4 / -1

Two bodies each of mass M are kept fixed with a separation 2L . A particle of mass m is projected from the mid-point of the line joining their centres perpendicular to the line. The gravitational constant is G. The correct statement(s) is (are)

A
The minimum initial velocity of the mass m to escape the gravitational field of the two bodies is

B
The minimum initial velocity of the mass m to escape the gravitational field of the two bodies is

C
The minimum initial velocity of the mass m to escape the gravitational field of the two bodies is

D
The energy of the mass m remains constant

Solution
Question 10
4 / -1

The sum of first 8 terms of the geometric series 2 + 6 + 18 + 54 +... is

A
6506

B
5650

C
6650

D
6560

Solution