JEE Main Test 83

Result

JEE Main Test 83

Score
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Rank
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Weekly Quiz Competition

Question 1
4 / -1

If S = {1, 2, 3, 4}, then the total number of unordered pairs of disjoint subsets of S is

A
25

B
34

C
42

D
41

Solution
Question 2
4 / -1

If 2α = 1- i√3 and 2β = -1 + i√3, then 5α⁴ + 5β⁴ + 7α^-1β^-1 is equal to

A
-1

B
-2

C
0

D
2

Solution
Question 3
4 / -1

The points (–a, – b), (0, 0), (a, b) and (a², ab) are :

A
Collinear

B
Vertices of a parallelogram

C
Vertices of a rectangle

D
None of these

Solution
Question 4
4 / -1

A
[ML^5/2 T^-2 ]

B
[ML² T^-2 ]

C
[M^3/2L^3/2 T^-2 ]

D
[M L^7/2 T^-2 ]

Solution
Question 5
4 / -1

Position of a body with acceleration a is given by x = ka^m tⁿ . Here, t is time. Find the values of m and n

A
m = 1, n = 1

B
m = 1, n = 2

C
m =2, n = 1

D
m = 2, n = 2

Solution
Question 6
4 / -1

Given that, a, b ϵ {0,1,2...9} with a + b ≠ 0 and

A
1

B
1/2

C
1/3

D
1/4

Solution
Question 7
4 / -1

The number of formula units of calcium fluoride, CaF₂ present in 146.4 g of CaF₂ (the molar mass of CaF₂ is 78.08 g/mol) is

A
1.129 × 10²⁴ CaF₂

B
1.146 × 10²⁴ CaF₂

C
7.808 × 10²⁴ CaF₂

D
1.877 × 10²⁴ CaF₂

Solution
Question 8
4 / -1

An aircraft is flying at a height of 3400 m above the ground. If the angle subtended at a ground observation point by the aircraft positions 10 s apart is 30°, then the speed of the aircraft is

A
19.63 ms ^-1

B
1963 ms ^-1

C
108 ms ^-1

D
196.3 ms ^-1

Solution
Question 9
4 / -1

How many moles of magnesium phosphate, Mg₃ (PO₄)₂ will contain 0.25 mole of oxygen atoms ?

A
0.02

B
3.125 x 10^-2

C
1.25 x 10^-3

D
2.5 x 10^-2

Solution
Question 10
4 / -1

A block rests on a rough inclined plane making an angle of 30° with the horizontal. The coefficient of static friction between the block and the plane is 0.8. If the frictional force on the block is 10 N, the mass of the block (in kg) is (take, g =10 ms^-2)

A
2.0

B
4.0

C
1.6

D
2.5

Solution