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NTSE PROPORTION QUESTIONARIES

Total questions: 25

Worksheet time: 50mins

Name
Class
Date
1.

FIND THE MEAN PROPORTIONAL OF THE FOLLOWING PAIRS OF NUMBERS 6 AND 24?

a)

8

b)

12

c)

16

d)

18

2.

WHAT IS THE LEAST NUMBER TO BE SUBTRACTED FROM 11,15,21 AND 30 EACH SO THAT RESULTANT NUMBERS BECOME PROPORTIONAL?

a)

1

b)

2

c)

3

d)

4

3.

THE RATIO OF ALCOHOL: WATER IN A MIXTURE IS 4:3. IF WE ADD 5 LITERS OF WATER TO THE MIXTURE, THIS RATIO BECOME 4:5. THEN THE QUANTITY OR CONCENTRATION OF ALCOHOL IN THE MIXTURE IS:

a)

0.2

b)

2

c)

8

d)

10

4.

A BOY CARRIES 50p,25p AND 10p CONS IN THE RATIO OF 5:9:4 RESPECTIVELY. THE TOTAL MONEY THE BOY CARRIES IS RS.206 THEN THE NUMBER OF COINS OF EACH KIND AS PER THE ORDER IS:

a)

129,673,836

b)

200,360,160

c)

364,385,368

d)

654,633,532

5.

FIND THE MEAN PROPORTIONAL OF THE FOLLOWING PAIR OF NUMBERS 9 AND 25?

a)

10

b)

12

c)

15

d)

17

6.

WHAT LEAST NUMBER MUST BE SUBTRACTED FROM EACH OF THE NUMBERS 14,17,34 AND 42 SO THAT THE REMAINDERS MAY BE PROPORTIONAL?

a)

2

b)

1

c)

0

d)

7

7.

GIVEN THAT P AND Q VARY INVERSELY. IF P=15, THEN Q=4. IF P=5, THEN FIND THE VALUE OF Q

 

a)

10

b)

12

c)

11

d)

13

8.

QUANTITES A,2,10 AND B ARE IN PROPORTIONAL, FIND THE VALUES OF A AND B?

a)

A=0.4,B=50

b)

A=0.4,B=40

c)

A=0.3,B=50

d)

A=0.3,B=40

9.

THE FOURTH PROPORTIONAL TO 3,6 AND 4.5 IS:

 

a)

8

b)

6

c)

9

d)

7

10.

IF (A^2+C^2), (AB+CD) AND (B^2+D^2) ARE IN CONTINUED PROPORTION THEN

a)

    A:C = B: D

b)

D: A= C: B

c)

A: B= C: B

d)

A^2: B= C^2: D

11.

X VARIES INVERSELY AS SQUARE OF Y. GIVEN THAT Y=2 FOR X=1. THE VALUE OF X FOR Y=6 WILL BE EQUAL TO:

a)

3

b)

9

c)

1/3

d)

1/9

12.

IF P: Q : : Q: R THEN

a)

    P: R = P^2: Q^2

b)

P: R = R: Q

c)

Q: R= P: R

d)

P: R= R^2: Q^2

13.

FIND THE MEAN PROPORTIONAL OF THE FOLLOWING PAIRS OF NUMBERS 50 AND 512?

a)

80

b)

120

c)

160

d)

200

14.

FIND THE NUMBERS WHICH WHEN ADDED TO EACH OF THE NUMBERS 6,8,10 AND 13 WILL MAKE THEM PROPORTIONAL?

 

a)

1.5

b)

2

c)

3

d)

4

15.

THE THIRD PROPORTION TO 1.2 AND 1.8 IS

a)

5.4

b)

2.7

c)

4.1

d)

7.2

16.

TWO NUMBERS ARE RESPECTIVELY 20% AND 50% MORE THAN A THIRD NUMBER. THE RATIO OF THE TWO NUMBER IS:

a)

3:4

b)

4:5

c)

5:6

d)

6:7

17.

A SUM OF RS.53 IS DIVIDED AMONG A, B, C IN SUCH A WAY THAT A GETS RS.7 MORE THAN WHAT WE GIVE TO B. ALSO, B GETS EIGHT RUPEES MORE THAN WHAT WE GIVE TO C. THEN THE RATIO THEIR SHARES IS:

a)

25:18:10

b)

32:65:98

c)

24:76:65

d)

98:53:87

18.

WHAT IS THE RATIO WHOSE TERMS DIFFER BY 40 AND THE MEASURE OF WHICH IS 2/7?

a)

12:87

b)

96:23

c)

16:56

d)

51:12

19.

IF A: B =5:9 AND B: C = 4:7, THEN THE VALUE OF A: B: C WILL BE:

a)

10:18:32

b)

2:3:7

c)

3:13:17

d)

20:36:63

20.

THE MEAN PROPORTION BETWEEN 6.25 AND 0.16 IS

a)

4

b)

5

c)

6

d)

1

21.

THE INCOME OF X AND Y ARE IN THE RATIO OF  3: 2 AND THEIR EXPENDITURES ARE IN THE RATIO OF 5:3. IF EACH OF THEM SAVES RS.1000, THEN, A’S INCOME CAN BE

 

a)

RS.3000

b)

RS.4000

c)

RS.9000

d)

RS.6000

22.

IF A/(B+C) =B/(C+A) =C/(A+B), THEN EACH FRACTION WILL BE EQUAL TO

a)

(A+B+C)^2

b)

1/2

c)

1/4

d)

0

23.

IF A: B = C: D, THEN THE VALUE OF A2 + B2/C2 + D2 IS

a)

1/2

b)

(A+B)/(C+D)

c)

(A-B)/(C-D)

d)

AB/CD

24.

IF A, B, C, D ARE IN CONTINUED PROPORTION THEN A-D/B-C>X.WHAT IS THE VALUE OF X?

 

a)

2

b)

1

c)

0

d)

3

25.

 A and B are the two alloys of copper and brass prepared by mixing metals in the proportion of 7:2 and 7:11 respectively. If the equal quantities of two alloys are melted to form a third alloy called C, then the proportion of copper and brass in C will be?

a)

5:9

b)

5:7

c)

7:5

d)

9:5