JEE Main Test 90

Result

JEE Main Test 90

Score
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Rank
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TIME Taken - -

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Weekly Quiz Competition

Question 1
4 / -1

A

B

C

D

Solution
Question 2
4 / -1

A compound with molecular mass 180 is acylated with CH₃COCl to get a compound with molecular mass 390. The number of amino groups present per molecule of the former compound is

A
2

B
5

C
4

D
6

Solution

Mol.wt of product = 222 gmol^-1

∴ 222 – 180 = 42.

Hence molecular mass increased by 42

Increased mol.wt = total mol.wt of reactants – mol. wt of products

= (390+180) – 222

Increased mol.wt = 168

∴ No. of NH₂ presents per molecule = 168/42 = 4
Question 3
4 / -1

Identify the reaction that does not take place during the smelting process of extraction.

A
2FeS + 3O₂ → 2FeO + 2SO₂ ↑

B
Cu₂O + FeS → Cu₂S + FeO

C
2Cu₂S + 3O₂ → 2Cu₂O + 2SO₂ ↑

D
FeO + SiO₂ → FeSiO₃

Solution

During roasting of pyrite ore, following reaction will occurs.

2FeS + 3O₂→ 2FeO + 2SO₂↑

Hence this reaction does not take place during the smelting process of extraction.
Question 4
4 / -1

A
2

B
0

C
-2

D
4

Solution
Question 5
4 / -1

If a function f(x) satisfies f ' (x) g(x). Then, the value of

A

B

C

D
None of the above

Solution
Question 6
4 / -1

A plane mirror produces a magnification of

A
–1

B
+1

C
zero

D
infinite

Solution

A plane mirror form a real image, when the pencil of light incident on the mirror is convergent. Children, during their play from an image of sun as wall by a strip of plane mirror.

It’s magnification = unity (+1)
Question 7
4 / -1

Area (in sq units ) bounded by the curves y = e^x, y = e^-x and the straight linex = 1 is

A
e + 1/e

B
e + 1/e + 2

C
e + 1/e - 2

D
e - 1/e + 2

Solution
Question 8
4 / -1

A
3, 1

B
1, 3

C
1, 1

D
3, 3

Solution
Question 9
4 / -1

Three non - zero collinear vectors a, b and c are such that a + 3b is collinear with 3b + 2c is collinear with a. Then, a + 3b + 2c is equal to

A
0

B
2a

C
3b

D
4c

Solution
Question 10
4 / -1

The angle between the lines whose direction cosines satisfy equations l + m + n = 0 and l² = m² + n², is

A
π/3

B
π/4

C
π/6

D
π/2

Solution