JEE Main Test 1

Result

JEE Main Test 1

Score
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Rank
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Weekly Quiz Competition

Question 1
4 / -1

The insoluble alkali metal halide is

A
KCl

B
NaCl

C
CsF

D
LiF

Solution

LiF has low solubility in water due to greater force of attraction between lithium ions and fluoride ions in its crystal lattice.
Question 2
4 / -1

Which of the following sets of quantum numbers represent an impossible arrangement (n, l, m, m_s respectively)

A
3, 2, -2, ½

B
4, 0, 0, ½

C
3, 2, -3, ½

D
5, 3, 0, ½

Solution

Value of principal quantum number is n.

The value of azimuthal quantum number (l) is always an integer between 0 to n-1.

The value of magnetic quantum number (m) is an integer between –l to +l.

Hence, in arrangement C:

value of n = 3 (valid)

value of l = 2 (valid as it is between 0 to 2)

value of m = -3 (invalid because it is not between -2 to +2)
Question 3
4 / -1

The number of real solutions of the equation x² − 3 |x| + 2 = 0 is

A
2

B
4

C
1

D
3

Solution

x² − 3 |x| + 2 = 0

(|x| − 1) (|x| − 2) = 0

⇒ x = ± 1, ± 2.

Hence there are 4 real solutions.
Question 4
4 / -1

The letter of the word ‘EQUATION’ are arranged in all possible ways such that the consonants are in consecutive positions. Find the number of possible arrangements.

A
4320

B
3600

C
2880

D
720

Solution

There are 5 vowels and 3 consonants.

The consonants can be arranged in 6 ways together.

Therefore the number of ways in which the vowels can be arranged is 6 × 5! = 6!

Number of ways consonants can be arranged is 3!.

∴ n = 3!×6!

⇒ n = 4320