question_answer1) If x : y = 2 : 3 and 2 : x = 1 : 2, then the value of y is __.
A) \[\frac{1}{3}\]
B) \[\frac{3}{2}\]
C) \[6\]
D) \[\frac{1}{2}\]
View Answer play_arrowquestion_answer2) If x and y vary inversely as each other. and x = 10 when y = 6. Find y when x= 15,
A) 3
B) 4
C) 2
D) 6
View Answer play_arrowA) 4
B) 9
C) 12
D) 36
View Answer play_arrowA) 1.25
B) 1.5
C) 25
D) 2.25
View Answer play_arrowA) 4 and 9
B) 10 and 3.6
C) 72 and 0.5
D) 5 and 6
View Answer play_arrowquestion_answer6) Which of the following statements is CORRECT?
A) Length of a side of square and its area vary directly with each other.
B) If one angle of a triangle is kept fixed then the measure of the remaining two angles vary inversely with each other.
C) The area of circle and its diameter vary directly with each other.
D) All of these
View Answer play_arrowquestion_answer7) If A : B = 1: 3 and B : C = 4 : 5, then C : A is equal to __.
A) 15 : 8
B) 12 ; 10
C) 8 : 5
D) 8 : 15
View Answer play_arrowquestion_answer8) Match the following.
Column - I | Column - II |
P. \[x\] and \[y\] are in direct proportion and \[x=40\] when \[y=120\]. If \[x=60\] then \[y=\] | (i) 160 |
Q. \[x\] varies inversely as \[y\] and \[x=12\] when \[y=300\], if \[x=24\] then \[y=\] | (ii) 180 |
R. \[x\] varies directly as \[y\] and \[y=50\] when \[x=30\], if \[x=96\] then \[y=\] | (iii) 130 |
S. \[x\] varies inversely as \[y\] and \[y=650\] when \[x=20\], if \[x=100\] then \[y=\] | (iv) 150 |
A) P\[\to \](iv); Q\[\to \](i); R\[\to \](iii); S\[\to \](ii)
B) P\[\to \](ii); Q\[\to \](iv); R(i); S(iii)
C) P\[\to \](iv); Q\[\to \](i); R\[\to \](iii); S\[\to \](ii)
D) P\[\to \](ii); Q\[\to \](iv); R\[\to \](i); S\[\to \](iii)
View Answer play_arrowquestion_answer9) When x=2, 7, 11.....,y = 8, 28, 44, ...., then x and y are in ............ .
A) Direct proportion
B) Inverse proportion
C) Neither direct nor inverse proportion
D) None of these
View Answer play_arrowquestion_answer10) Two quantities x and y vary inversely with each other, then ____ .
A) \[\frac{x}{y}\] remains constant
B) \[x-y\] remains constant
C) \[x+y\] remains constant
D) \[x\times y\] remains constant
View Answer play_arrowquestion_answer11) .. 8 men can do a piece of work in 10 days. How long will 10 men take?
A) 12 days
B) 8 days
C) 7 days
D) 6 days
View Answer play_arrowA) Rs. 7.30
B) Rs. 7.00
C) Rs. 6.00
D) Rs. 6.30
View Answer play_arrowA) 18
B) 24
C) 30
D) 12
View Answer play_arrowA) 30
B) 35
C) 65
D) 45
View Answer play_arrowA) 40
B) 30
C) 50
D) 20
View Answer play_arrowA) 29
B) 35
C) 60
D) 40
View Answer play_arrowA) \[2\times {{10}^{-4}}cm\]
B) \[{{10}^{3}}cm\]
C) \[{{10}^{-4}}cm\]
D) \[{{10}^{4}}\text{ }cm\]
View Answer play_arrowA) 180
B) 200
C) 150
D) 100
View Answer play_arrowA) 20 minutes
B) 10 minutes
C) 15 minutes
D) 5 minutes
View Answer play_arrowA) 50
B) 40
C) 60
D) 100
View Answer play_arrowquestion_answer21) State ?T? for true and ?F? for false.
(i) If x and y are in direct proportion, then (x-1) and (y-1) are also in direct proportion. |
(ii) If x and y are in inverse proportion then (x+2) and (y+2) are also in inverse proportion. |
(iii) Two quantities x and y are said to vary directly with each other if \[\frac{x}{y}=k\], where k is a positive constant. |
(iv) When distance is kept fixed, then speed and time vary inversely with each other. |
A)
(i) | (ii) | (iii) | (iv) |
T | F | F | T |
B)
(i) | (ii) | (iii) | (iv) |
T | T | F | F |
C)
(i) | (ii) | (iii) | (iv) |
F | F | T | T |
D)
(i) | (ii) | (iii) | (iv) |
T | F | T | F |
question_answer22) Fill in the blanks.
(i) The perimeter of circle and its diameter vary P with each other. |
(ii) if two quantities p and q vary inversely with each other then Q of their corresponding values remain constant. |
(iii) When x and y are in indirect proportion and if y doubles then x becomes R . |
A)
P | Q | R |
Inversely | Ratio | Double |
B)
P | Q | R |
Directly | Product | Half |
C)
P | Q | R |
Directly | Product | Half |
D)
P | Q | R |
Directly | Product | Half |
question_answer23) Match the following.
Column - I | Column - II |
(P) If the cost of 93m of a certain kind of plastic sheet is Rs. 1395, then what would it cost (in Rs.) to buy 105 m of such plastic sheet? | (1) 42 |
(Q) 55 cows can graze a field in 16 days. How many cows will graze the same field in 10 days? | (2) 18 |
(R) 18 men can reap a field in 35 days. For reaping the same field in 15 days; how many men are required? | (3) 88 |
(S) Suneeta types 1080 words in one hour. What is her GWPM (gross words per minute)? | (4) 1575 |
A)
P | Q | R | S |
4 | 3 | 1 | 2 |
B)
P | Q | R | S |
2 | 1 | 4 | 3 |
C)
P | Q | R | S |
3 | 2 | 1 | 4 |
D)
P | Q | R | S |
1 | 3 | 2 | 4 |
question_answer24) A worker is paid Rs. 139.20 for 3 days.
(i) What will he get in the month of June (in Rs,)? |
(ii) For how many days will he be working for Rs. 696? |
A)
(i) | (ii) |
1392 | 15 |
B)
(i) | (ii) |
15 | 1392 |
C)
(i) | (ii) |
1382 | 20 |
D)
(i) | (ii) |
1392 | 20 |
question_answer25) Which of the following tables shows the inverse proportion?
(i) | x | 6 | 12 | 30 | 48 |
y | 250 | 125 | 50 | 31.25 | |
(ii) | x | 115 | 130 | 145 | 160 |
y | 615 | 600 | 585 | 570 | |
(iii) | x | 50 | 100 | 300 | 1200 |
y | 300 | 150 | 100 | 75 |
A) Only (i)
B) Both (i) and (ii)
C) Both (ii) and (iii)
D) None of these
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