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In an examination, a student score 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 75 questions and secures 125 marks, the number of questions he attempts correctly is

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42.

Find a number, one-seventh of which exceeds its eleventh part by 100.

1925
1825
1540
1340

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43.

If $9 square root of straight x space equals space square root of 12 space plus space square root of 147 comma$ then x = ?

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44.

The value of $3 plus fraction numerator 1 over denominator 3 plus begin display style fraction numerator 1 over denominator 3 plus begin display style 1 third end style end fraction end style end fraction$ is

$40 over 11$
$43 over 11$
$46 over 11$
$41 over 11$

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45.

The value of $fraction numerator left parenthesis 3.2 right parenthesis cubed minus 0.008 over denominator left parenthesis 3.2 right parenthesis squared space plus space 0.64 space plus space 0.04 end fraction$ is

0
2.994
3.208
3

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46.
Mohan gets 3 marks for each correct sum and loses 2 marks for each wrong sum. He attempts 30 sums and obtains 40 marks. The number of sums solved correctly is

25

10

15

20

Let the number of sums solved correctly by Mohan be x.
Then, According to the question,
(3) x (x) - (30 - x) x 2 = 40
⟹ 3x - 60 + 2x = 40
⟹ 5x - 60 = 40
⟹ 5x = 60 + 40
⟹ 5x = 100
⟹ x = 100/5 = 20
∴ Mohan attempted 20 questions correctly.

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47.

If $2 plus straight x space square root of 3 space equals space fraction numerator 1 over denominator 2 plus square root of 3 end fraction comma space$ then the simplest value of x is

1
-1
-2
2

48.

If $fraction numerator open square brackets 2 open parentheses begin display style fraction numerator 4 straight x over denominator 5 end fraction end style minus begin display style 3 over 4 end style close parentheses close square brackets over denominator 3 minus begin display style 5 over 3 end style end fraction space equals space minus 1 over 6 comma$ then the value of x is:

$4 over 15$
$negative 15 over 4$
$negative 4 over 15$
$15 over 4$

49.

If $fraction numerator 2 straight x over denominator 3 end fraction minus fraction numerator open square brackets 5 open parentheses begin display style fraction numerator 4 straight x over denominator 5 end fraction end style minus begin display style 4 over 3 end style close parentheses close square brackets over denominator 2 end fraction space equals space 1 third comma$ then what is the value of x?