UP LEKHPAL RATIO AND PROPORTION QUIZ-3

Question 1:

If $x: y=3: 1$ then find $\left(x^{2}-y^{2}\right):\left(x^{2}+y^{2}\right)$.

4:5

5:4

2:9

9:2

Question 2:

Amit has Rs. 67 in the form of 2 rupee, 1 rupee and 50-paise coins in the ratio $8: 9$ : 17. Find the number of 50 -paise coins.

68

34

51

102

Question 3:

What is the fourth proportion to 391,299 , 204?

136

156

146

196

Question 4:

What is the third proportion to 8 and $14 ?$

11

$23.5$

$24.5$

$28.5$

Question 5:

Rs. 73,279 is distributed among A, B and C in the ratio $\frac{1}{4}: \frac{1}{7}: \frac{1}{9}$ respectively. What will be B's share (in rupees)?

19292

20342

19722

20772

Question 6:

If $5 \mathrm{~A}=8 \mathrm{~B}=9 \mathrm{C}$, then $\mathrm{A}: \mathrm{C}: \mathrm{B}=$ ?

$72: 45: 40$

$40: 72: 45$

$72: 40: 45$

$24: 15: 12$

Question 7:

Shankar's marks in two subjects, History and polity are in the ratio $13: 17$. If he got 35 marks more in Polity than in History, what is his total marks in both the subject?

$252.5$

$256.5$

$262.5$

$264.5$

Question 8:

Two numbers are in the ratio $4: 7 .$ If 12 is subtracted from both then the ratio becomes $8: 17$. If 9 is added to each of the original numbers, then the ratio becomes:

$5: 8$

$3: 5$

$9: 7$

$5: 6$

Question 9:

$5 x+7 y=87$ and $6 x: 5 y=9: 5$, then $(2 y-x)$ $=?$

6

3

4

9

Question 10:

If $x$ is added to each of the number 16,19 , 64 and 75 the numbers so formed are in proportion. Find the mean proportion of $(7 x$ +2) and $ (5 x-1)$

12

14

16

18