Elective Maths 23

Elective Maths 23

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Question 1 of 20

1. Question
Each student in a class of 17 studies at least one subject. Of these, 7 study Art (A), 5 study Biology (B), 12 study Home Management (H), 3 study Art only, 5 study Home Management only but no one studies both Art and Biology. Find n(A’ n H’ n B).
- 1
- 2
- 3
- 4
Correct

Incorrect
Question 2 of 20

2. Question
If P =(n² +1:n =0,2.3) and Q=(n+1:n =2,3,5), find PnQ.
- (5, 10)
- (4,6)
- (1,3)
- ( )
Correct

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Question 3 of 20

3. Question
P contains 4 elements, Q contains 3 elements and 2 elements are common to both P and Q. State the number of elements in PU Q.
- 5
- 6
- 7
- 0
Correct

Incorrect
Question 4 of 20

4. Question
A number of students prepared for an examination in Physics, Chemistry and Mathematics Out of this number, 15 took Physics, 20 took Chemistry and 23 Mathematics. 9 students took Chemistry and Mathematics, 6 took Physics and Mathematics and all who took Physics also took Chemistry, one student fell ill and failed to write any of papers.

How many students took exactly one the examination papers?
- 3
- 9
- 14
- 16
Correct

Incorrect
Question 5 of 20

5. Question
A number of students prepared for an examination in Physics, Chemistry and Mathematics Out of this number, 15 took Physics, 20 took Chemistry and 23 Mathematics. 9 students took Chemistry and Mathematics, 6 took Physics and Mathematics and all who took Physics also took Chemistry, one student fell ill and failed to write any of papers.

How many students wrote exactly two of the examination papers?
- 14
- 12
- 9
- 3
Correct

Incorrect
Question 6 of 20

6. Question
$\varepsilon={x:0\le x\le6},A={0,2,4,6},B={1,2,3,4}and_C={1,3}$ are subsets of $\varepsilon$ . Find $A\cap(B^\prime\cup C)$
- {0,2,6}
- {0,6}
- {1,3}
- { }
Correct

Incorrect
Question 7 of 20

7. Question
$\varepsilon={x:0\le x\le6},A={0,2,4,6},B={1,2,3,4}and_C={1,3}$ are subsets of $\varepsilon$ . Find $A\cap(B\cup C)^\prime$
- {6}
- { }
- {2,4}
- {0,6 }
Correct

Incorrect
Question 8 of 20

8. Question
Let U={1,2,3,…,20} be the universal set, P={factors of 18} and Q={factors of 12}, where P,Q Find n(PUQ)^’
- 12
- 8
- 4
- 0
Correct

Incorrect
Question 9 of 20

9. Question
Given that $\frac{1}{9^{y-1}}=27^{(4-3x)}$ , express y in terms of x.
- $y=\frac{9x-14}{2}$
- $y=\frac{9x-11}{2}$
- $y=\frac{9x-10}{2}$
- $y=\frac{14-9x}{2}$
Correct

Incorrect
Question 10 of 20

10. Question
If $(0.25)^{x+1}=16$ , find the value of x.
- -3
- -2
- 2
- 3
Correct

Incorrect
Question 11 of 20

11. Question
Simplify $(216)^{-\frac{2}{3}}\times(0.16)^{-\frac{3}{2}}$
- $\frac{125}{288}$
- $\frac{2}{125}$
- $\frac{4}{225}$
- $\frac{2}{225}$
Correct

Incorrect
Question 12 of 20

12. Question
If $\frac{3^{2x+1}}{3^{3x-4}\times3^{6-7x}}=27^x$ , find the value of x.
- ½
- 1/3
- ¼
- 1/5
Correct

Incorrect
Question 13 of 20

13. Question
If $2^x=0.125$ , find x.
- -3
- -2
- 2
- 3
Correct

Incorrect
Question 14 of 20

14. Question
Given that $y=2xand 3^{x+y}=27$ , find x.
- 6
- 4
- 2
- 1
Correct

Incorrect
Question 15 of 20

15. Question
Evaluate $\frac{9^\frac{1}{3}\times27^{-\frac{1}{2}}}{3^{-\frac{1}{6}}\times3^{-\frac{2}{3}}}$
- -2
- $-\sqrt3$
- 1
- $\sqrt3$
Correct

Incorrect
Question 16 of 20

16. Question
Solve $9^x+3^{x+1}-18=0$
- 3
- 2
- 1
- -1
Correct

Incorrect
Question 17 of 20

17. Question
Solve $4(2^{x^2})=8^x$
- 1 and 2
- 1 and -2
- -1 and 2
- -1 and -2
Correct

Incorrect
Question 18 of 20

18. Question
Solve [layex]3^{2x}-4(3^x)+3=0[/latex]
- x=0 or 1
- x=0 or 3
- x=1 or 2
- x=1 or 3
Correct

Incorrect
Question 19 of 20

19. Question
Solve the equation $5^x\times5^{x+1}=25$
- -2
- – ½
- ½
- 2
Correct

Incorrect
Question 20 of 20

20. Question
If $3^{2x}=\frac{1}{27}$ , find the value of x.
- -2
- – 3/2
- 3/2
- 2
Correct

Incorrect

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