JEE Main Test 119

Result

JEE Main Test 119

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Weekly Quiz Competition

Question 1
4 / -1

The number of elements in the set {(a, b): 2a² + 3b² = 35, a, b ∈ Z}, where Z is the set of all integers, is

A
2

B
4

C
8

D
12

Solution
Question 2
4 / -1

If f': R → S, defined by f(x)= sin x -√3 cos x + 1, is onto, then the interval of S is

A
[0, 3]

B
[-1, 1]

C
[0, 1]

D
[-I, 3]

Solution
Question 3
4 / -1

The straight lines x + y = 0, 3x + y – 4 = 0, x + 3y – 4 = 0 form a triangle which is

A
isosceles

B
equilateral

C
right angled

D
none of these

Solution
Question 4
4 / -1

The current voltage relation of diode is given by I = (e^1000V/T – 1) mA, where the applied V is in volts and the temperature T is in degree Kelvin. If a student makes an error measuring ±0.01 V while measuring the current of 5 mA at 300K, what will be the error in the value of current in mA ?

A
0.2 mA

B
0.02 mA

C
0.5 mA

D
0.05 mA

Solution
Question 5
4 / -1

Line L has intercepts a and b on the coordinate axes. When the axes are rotated through a given angle, keeping the origin fixed, the same line L has intercepts p and q, then

A
a² + b² = p² + q²

B

C
a² + p² = b² + q²

D

Solution
Question 6
4 / -1

If z₁ is a fixed point on the circle of radius 1 centred at the origin in the argand plane and z₁ ≠ ± 1. Consider an equilateral triangle inscribed in the circle with z₁,z₂, z₃ as the vertices taken in the counter clockwise direction. Then, z₂ z₃ is equal to

A
z₁ ²

B
z₁ ³

C
z₁ ⁴

D
z₁

Solution
Question 7
4 / -1

The number of digits in 20 ³⁰¹

A
602

B
301

C
392

D
391

Solution
Question 8
4 / -1

If Avogadro number N_A, is changed from 6.022 ×10²³ mol^–1 to 6.022 × 10²⁰ mol^–1 this would change :

A
the definition of mass in units of grams

B
the mass of one mole of carbon

C
the ratio of chemical species to each other in a balanced equation.

D
the ratio of elements to each other in a compound

Solution
Question 9
4 / -1

Two spherical bodies of mass M and 5 M and radii R and 2 R, respectively are released in free space with initial separation between their centres equal to 12 R. If they attract each other due to gravitational force only, then the distance covered by the smaller body just before collision is

A
2.5 R

B
4.5 R

C
7.5 R

D
1.5 R

Solution

Let at O, a collision. If small sphere moves x distance and Big sphere moves (9R – c) distance.
Question 10
4 / -1

The third term of a geometric progression is 4. The product of the first five terms is

A
4³

B
4⁵

C
4⁴

D
none of these

Solution