Question

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Answer 1

Answer 4 -

$\dashrightarrow\sf \: \dfrac{x}{5} + 5 = \dfrac{x}{4} - 5$

$\dashrightarrow\sf \: \dfrac{x}{5} - \dfrac{x}{4} = - 5 - 5$

$\dashrightarrow\sf \: \dfrac{4x - 5x}{20} = - 10$

$\dashrightarrow\sf \: - x = -200$

$\dashrightarrow\sf \: x = 200$

Option C !

Answer 5 -

let the number be x ,

correct no is = 7x/8

wrong no is = 7x/18

hence ,

$\dashrightarrow\sf \: \dfrac{7x }{18} = \dfrac{7x }{8} - 770$

$\dashrightarrow\sf \: x = 1584$

Option B !

Answer 6 -

Let Capacity of drum = a litres

According to the question ,

⇢ (3/4 x a) - 80 = 7/2 x a

⇢ 3a/4 - 7a/2 = 80

⇢ (3a-7a)/2 = 80

⇢ 2a/2 = 80

⇢ a = 80 x 2/2

⇢ a = 120 litres

Option A !

Answer 7 -

Let the seven numbers be

x, (x + 1), (x + 2), (x + 3), (x + 4), (x + 5) and (x + 6)

Then,

⇢ x + (x + 1) + (x + 2) + (x + 3) + (x + 4) + (x + 5) + (x + 6) = 175

⇢7x + 21 = 175

⇢ 7x = 154

⇢ x = 22

According to the question -

⇢ 2(x + 6) - 3x

⇢ 12 - x

⇢ 12 - 22

⇢ -10

Option C !

Answer 8 -

Let the five numbers be

x, (x + 2), (x + 4), (x + 6) and (x + 8)

Then,

⇢ x + (x + 2) + (x + 4) + (x + 6) + (x + 8) = 575

⇢ 5x + 20 = 575

⇢ 5x = 555

⇢x = 111

According to the question -

⇢ (x + 10) + (x + 12) + (x + 14) + (x + 16) + (x + 18)

⇢ 5x + 70

⇢ 5 × 111 + 70

⇢ 555 + 70

⇢ 625

Option C !

Answer 9 -

Let the four numbers be

x, (x + 2), (x + 4), (x + 6)

Then,

⇢ x + (x + 2) + (x + 4) + (x + 6) = 1284

⇢ 4x = 1272

⇢ x = 1272/4

⇢ x = 318

Greatest integer

⇢ x + 6

⇢ 318 + 6

⇢ 324

Option C !

Answer 2

4 = ( x_ 200 )

5= x_ 1584

6= a_ 120 liter

7= -10

8= 625

9 x= 319

10= 64 years

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