Question 1

The ratio between 3-6 m and 75 cm is:

Accepted Answer

24:5

Answer

4:5

Answer

18:275

Answer

6:125

Question 2

If a:b =2:9 and b:c =3:5 , then a:c is :

Accepted Answer

2:15

Answer

2:5

Answer

4:15

Answer

6:5

Question 3

If a:b =1 : 3 and b:c = 1 : 5 , then a:c is :

2 8 3 9

Accepted Answer

4:5

Answer

2:3

Answer

1:9

Answer

1:4

Question 4

If 4a = 7b = 9c , then a:b:c =

Accepted Answer

63 : 36 : 28

Answer

16 : 49: 81

Answer

4 :7 : 9

Answer

24 : 31 : 19

Question 5

If a : b =3: 2 ,then (3a²+ 2b²) : (3a²-2b²) is:

Accepted Answer

35 : 19

Answer

27 : 8

Answer

17:13

Answer

45 : 23

Question 6

If 3a +5b =7 , then a : b is:

3a-5b

Accepted Answer

25 : 6

Answer

7 : 3

Answer

9 : 49

Answer

10 : 4

Question 7

If a² + 4b² = 4ab ,then a :b ,is :

Accepted Answer

2 : 1

Answer

1 : 2

Answer

4 : 1

Answer

1 : 4

Question 8

The ratios 2 :3, 8 :15 ,11 : 12, 7: 6 , in their ascending order of magnitude are :

Accepted Answer

7 $<$ 8 $<$ 2 $<$ 11

16 15 3 12

Answer

2 $<$ 11 $<$ 8 $<$ 7

3 12 15 16

Answer

7 $<$ 8 $<$ 11 $<$ 2

16 15 12 3

Answer

2 $<$ 7 $<$ 8 $<$ 11

3 16 15 12

Question 9

If (2a²-5b²) : ab =1 : 3 , then a:b , is :

Accepted Answer

5 : 3

Answer

-3 : 2

Answer

-5 : 3

Answer

3 : 2

Question 10

If m : n =5 : 3 ,then ( m²+ n²) : (m²- n²) is :

Accepted Answer

17 : 8

Answer

8 : 17

Answer

15 :7

Answer

7 : 15

Question 11

If (a² + b²) : (a² - b ²) = 17 : 8 ,then a :b is ,

Accepted Answer

5 : 3

Answer

25 : 9

Answer

8 : 17

Answer

3 : 7

Question 12

The duplicate ratio of $\sqrt{\frac{ }{ }}$ 3 :7 , is:

Accepted Answer

3 : 49

Answer

7 : $\sqrt{\frac{ }{ }}$ 3

Answer

2 $\sqrt{\frac{ }{ }}$ 3 :14

Answer

( $\sqrt{\frac{ }{ }}$ 3 + 2) : 9

Question 13

The triplicate ratio of 1 : 3 , is:

Accepted Answer

1 :27

Answer

3 :6

Answer

3 : 9

Answer

3 : 1

Question 14

The sub-duplicate ratio of 25 : 16 , is :

Accepted Answer

5 : 4

Answer

16 : 25

Answer

23 :14

Answer

25    : 8  2

Question 15

The sub- triplicate ratio of 64 :343 , is :

Accepted Answer

4 : 7

Answer

16 :17

Answer

61 :340

Answer

64 : 343

3 3

Question 16

The reciprocal ratio of 1 :2 , is :

9

Accepted Answer

18 : 1

Answer

9 : 2

Answer

2 : 18

Answer

9 : 1         2

Question 17

The compounded ratio of 2 : 3 and 5 :9 , is :

Accepted Answer

10 : 27

Answer

18 : 15

Answer

7 : 12

Answer

6 :45

Question 18

The mean proportional between 4 and 9 ,is :

Accepted Answer

6

Answer

13

Answer

13      2

Answer

5     2

Question 19

The ratio compounded of the duplicate of 7 : 6 , sub-duplicate of 25 : 49 and the reciprocal of 35 : 36 ,is :

Accepted Answer

1 :1

Answer

2 :3

Answer

5 : 9

Question 20

If (2b + 5) :(8b + 9) is the duplicate ratio of 3 :5 ,then the value of b ,is :

Accepted Answer

2

Answer

3

Answer

4

Answer

1

Question 21

The remainder when f (p) =p² - 5p + 8 is divided by p-1 , is:

Accepted Answer

4

Answer

5

Answer

8

Answer

14

Question 22

If a : b = 3 : 4 and b :c = 5 :2 , then a :b :c ,is :

Accepted Answer

15 : 20 : 8

Answer

3 :9 :2

Answer

6 :20 :6

Answer

3 :20 :2

Question 23

The fourth proportional of 0.4 ,2 and 10 ,is :

Accepted Answer

50

Answer

15

Answer

12.5

Answer

2

Question 24

If ( a -2) , (a + 2) ,(2a + 1) and (2a+ 19) are in proportion ,then the value of a is _______

Accepted Answer

4

Answer

5

Answer

6

Answer

3

Question 25

If the mean proportion between two numbers is 4 and the third proportional to them is also 4, then the two numbers are ________ and _______

Accepted Answer

4 ,4

Answer

4 ,5

Answer

4 ,3

Answer

4 ,2

Question 26

If a+ 3 is the mean proportion between a+2 and a +9 ,then the value of a is _____

Accepted Answer

<math>-</math>    9              5

Answer

5         9

Answer

9        5

Answer

<math>-</math>    5             9

Question 27

The fourth proportional to 1 , 1 and 1 is ______

3 4 5

Accepted Answer

3        20

Answer

10

Answer

3     10

Answer

3    25

Question 28

If a :50 =3 :2 , then value of a is ________

Accepted Answer

75

Answer

65

Answer

55

Answer

50

Question 29

The number that must be added to each of the number 6 ,15 ,20 and 43 to make them proportional is :

Accepted Answer

3

Answer

0

Answer

1

Answer

2

Question 30

If 6 is the mean proportion between the two numbers a and b ,and 48 is the third proportion of a and b ,then the numbers a and b respectively ,are :

Accepted Answer

3 ,12

Answer

9 ,4

Answer

6 ,6

Answer

4 ,9

Question 31

If a² +2a = b² + 3b , then the value of 2a :3b is :

2a +4, 3b +9

Accepted Answer

4 :9

Answer

16 :27

Answer

2 :3

Answer

1 :1

Question 32

If the numbers p + 3 , p + 2 , 3p - 7 and 2p - 3 are in proportion , then the value of p

is :

Accepted Answer

5

Answer

-1

Answer

-5

Answer

1

Question 33

If , a³ + 12a = b³ + 27 b ,

6a²+ 8 9b² + 27

then using componendo and dividendo ,the ratio a :b is equal to

Accepted Answer

2 :3

Answer

1:3

Answer

3 :4

Answer

12 :27

Question 34

If a ,b, c and d are in proportional , then $\sqrt{\frac{ }{ }}$ 3a² + 8b²

is equal to : 3c² + 8d²

Accepted Answer

b  d

Answer

cd

Answer

ab

Answer

ca

Question 35

The third proportional to 2 and 7 is :

Accepted Answer

24 : 5

Answer

9

Answer

<math>\sqrt{\frac{ }{ }}</math> 14

Answer

14

Question 36

If 2a + $<$ 4a² - 1 = 4

2a- $\sqrt{\frac{ }{ }}$ 4a²- 1

then using properties of proportion ,the value of a is:

Accepted Answer

58

Answer

85

Answer

65

Answer

12

Question 37

If $\sqrt{\frac{ }{ }}$ 3a + 4 + $\sqrt{\frac{ }{ }}$ 3a -5 =9 ,then using the properties of proportion ,

$\sqrt{\frac{ }{ }}$ 3a+4 - $\sqrt{\frac{ }{ }}$ 3a-5

the value of a is :

Accepted Answer

7

Answer

4

Answer

2

Answer

9

Question 38

If a = $\sqrt{\frac{ }{ }}$ b +1 + $\sqrt{\frac{ }{ }}$ b -1 ,then using properties

$<$ b +1 - $\sqrt{\frac{ }{ }}$ b - 1

of proportion a² - 2ba + 1=

Accepted Answer

0

Answer

a

Answer

2a

Answer

1

Question 39

If $\sqrt{\frac{ }{ }}$ 5a + $<$ 2a - 6 =4 ,then the value of a is :

$<$ 5a - $\sqrt{\frac{ }{ }}$ 2a -6

Accepted Answer

30

Answer

10

Answer

20

Answer

40

Question 40

Find the remainder obtained on dividing f(a)= 6a³ -3a² -8a +7 by a-2 :

Accepted Answer

27

Answer

-37

Answer

37

Answer

-27

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