Mathematics Test 21

Result

Mathematics Test 21

Score
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Rank
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TIME Taken - -

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Weekly Quiz Competition

Question 1
4 / -1

A student is to answer 10 out of 13 questions in an examination such that he must choose at least 4 from the first five questions. The number of choices available to him is

A
140

B
196

C
280

D
346

Solution

Number of choices = ⁵C₄ × ⁸C₆ + ⁵C₅ × ⁸C₅
= 140 + 56 = 196.
Question 2
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.