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question_answer1)
If x : y = 2 : 3 and 2 : x = 1 : 2, then the value of y is __.
A)
\[\frac{1}{3}\] done
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B)
\[\frac{3}{2}\] done
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C)
\[6\] done
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D)
\[\frac{1}{2}\] done
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question_answer2)
If x and y vary inversely as each other. and x = 10 when y = 6. Find y when x= 15,
A)
3 done
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B)
4 done
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C)
2 done
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D)
6 done
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question_answer3)
If x varies directly as \[{{y}^{2}}\] and \[x=4\] when\[y=5\], then find x when y is 15.
A)
4 done
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B)
9 done
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C)
12 done
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D)
36 done
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question_answer4)
If \[\frac{15}{5}:\frac{1}{x}=\frac{1}{x}:\frac{1}{125}\] then the value of x is_____.
A)
1.25 done
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B)
1.5 done
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C)
25 done
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D)
2.25 done
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question_answer5)
x and y vary in inverse proportion. When x is 12, y is 3. Which of the following is not a possible pair of corresponding values of x and y?
A)
4 and 9 done
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B)
10 and 3.6 done
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C)
72 and 0.5 done
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D)
5 and 6 done
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question_answer6)
Which of the following statements is CORRECT?
A)
Length of a side of square and its area vary directly with each other. done
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B)
If one angle of a triangle is kept fixed then the measure of the remaining two angles vary inversely with each other. done
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C)
The area of circle and its diameter vary directly with each other. done
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D)
All of these done
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question_answer7)
If A : B = 1: 3 and B : C = 4 : 5, then C : A is equal to __.
A)
15 : 8 done
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B)
12 ; 10 done
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C)
8 : 5 done
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D)
8 : 15 done
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question_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) done
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B)
P\[\to \](ii); Q\[\to \](iv); R
(i); S
(iii)
done
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C)
P\[\to \](iv); Q\[\to \](i); R\[\to \](iii); S\[\to \](ii) done
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D)
P\[\to \](ii); Q\[\to \](iv); R\[\to \](i); S\[\to \](iii) done
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question_answer9)
When x=2, 7, 11.....,y = 8, 28, 44, ...., then x and y are in ............ .
A)
Direct proportion done
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B)
Inverse proportion done
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C)
Neither direct nor inverse proportion done
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D)
None of these done
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question_answer10)
Two quantities x and y vary inversely with each other, then ____ .
A)
\[\frac{x}{y}\] remains constant done
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B)
\[x-y\] remains constant done
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C)
\[x+y\] remains constant done
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D)
\[x\times y\] remains constant done
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question_answer11)
.. 8 men can do a piece of work in 10 days. How long will 10 men take?
A)
12 days done
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B)
8 days done
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C)
7 days done
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D)
6 days done
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question_answer12)
An agent receives a commission of Rs. 773,00 on sales of Rs. 1000.00. The commission he will get on sales of Rs. 100.00 is ______.
A)
Rs. 7.30 done
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B)
Rs. 7.00 done
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C)
Rs. 6.00 done
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D)
Rs. 6.30 done
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question_answer13)
In a birthday party, on an average, 5 bottles of coke are served for a group of 6 children. How many friends were present at Mohit's party if 15 bottles of cake were used?
A)
18 done
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B)
24 done
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C)
30 done
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D)
12 done
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question_answer14)
In a camp there is sufficient food for 105 soldiers for 21 days. If 42 soldiers leave the camp, how long would the food last?
A)
30 done
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B)
35 done
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C)
65 done
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D)
45 done
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question_answer15)
A shopkeeper has just enough money to buy 52 cycles worth Rs. 525 each. If each cycle were to cost Rs. 21 more, then number of cycles, he will be able to buy with that amount of money, is _____.
A)
40 done
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B)
30 done
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C)
50 done
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D)
20 done
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question_answer16)
A labourer is paid Rs. 806 for 13 days of work. If he receives Rs. 1,798, for how many days did he work?
A)
29 done
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B)
35 done
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C)
60 done
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D)
40 done
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question_answer17)
A photograph of a bacteria enlarged 50,000 times, attains a length of 5 cm. What is the actual length of the bacteria?
A)
\[2\times {{10}^{-4}}cm\] done
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B)
\[{{10}^{3}}cm\] done
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C)
\[{{10}^{-4}}cm\] done
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D)
\[{{10}^{4}}\text{ }cm\] done
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question_answer18)
Raghu has enough money to buy 75 machines worth Rs. 200 each. How many machines can he buy if he gets a discount of Rs. 50 on each machine?
A)
180 done
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B)
200 done
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C)
150 done
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D)
100 done
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question_answer19)
A cistern has two inlets A and B which .can fill it in 12 minutes and 15 minutes respectively. An outlet C can empty the full cistern in 10 minutes. If all the three pipes then are opened together in the empty cistern, time taken to fill the cistern completely is _____.
A)
20 minutes done
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B)
10 minutes done
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C)
15 minutes done
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D)
5 minutes done
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question_answer20)
In 15 days, the earth picks up \[1.2\times {{10}^{8}}\text{kg}\] of dust from the atmosphere. In how many days it will pick up \[4.8\times {{10}^{8}}\text{ kg}\]of dust?
A)
50 done
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B)
40 done
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C)
60 done
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D)
100 done
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question_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)
B)
C)
D)
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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)
B)
C)
D)
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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)
B)
C)
D)
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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)
B)
C)
D)
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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) done
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B)
Both (i) and (ii) done
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C)
Both (ii) and (iii) done
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D)
None of these done
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