Simplification-Test 9 (Complete Revision)

Answer: Option A

Explanation

In this above question

Given that , 

 $\frac{5}{12}$of 516 less than $\frac{4}{9}$ of 495

$$\begin{gathered} =\frac{5}{12}\times 516<\frac{4}{9}\times 495 \\ =215<220 \end{gathered}$$

Hence, Option A is correct.

Answer: Option D

Explanation

In this above question

Given that,

Let the number be 'z'

$$\begin{gathered} =\left(\frac{3}{5}\right)\left(\frac{2}{5}\right)z-\left(\frac{4}{5}\right)\left(\frac{1}{4}\right)z=5 \\ =\left(\frac{3}{10}\right)z-\left(\frac{1}{5}\right)z=5 \\ =z\left(\frac{3}{10}-\frac{1}{5}\right)=5 \\ =z\left(\frac{1}{10}\right)=5 \\ z=\frac{10\times 5}{1}=50 \end{gathered}$$

Hence, Option D is correct.

Answer: Option C

Explanation

Given that,

Let the total number of apples in the crate = A

Then, number of bruised apples= $\frac{a}{40}$

Number of unsaleable apple

Since, 4 bruised apple containing 3 unsaleable apple

∴ 1 bruise apple will contain $\frac{3}{4}$ unsaleable apple

Hence, $\frac{a}{40}$ bruise apple will contain $\frac{3}{4}\times \frac{a}{40}$ unsaleable apple

$$\begin{gathered} = \frac{3}{4}\times \frac{a}{40}=\frac{3a}{160} \\ From the question, \\ = \frac{3a}{160}=9 \\ a=9\times \frac{160}{3} \\ a=3\times 160=480 \end{gathered}$$

Hence, Option C is correct.

Answer: Option D

Explanation

In this above question,

Given that,

$$\begin{gathered} =\frac{2}{3}\times 159<\frac{5}{8}\times 224 \\ =106<140 \end{gathered}$$

Hence, Option D is correct.

Answer: Option A

Explanation

Given that,

Let the question solved by jatin= X

and number of question solved wronglly by jatin= Y

According ti the question,

we get,

⇒ X+Y=30   -----(1)

⇒ 3X+2Y=40 ----(2)

Now, multiply the equations (1) and (2)

we get,

⇒ 2X+2Y=60 ----(3)

After adding the equation (2) and (3) we get,

⇒ 3X-2Y+2X+2Y=40+60

⇒ 5X=100

⇒ X=20

∴ Jatin attempted 20 question correctly.

Hence, Option A is correct.