1 .The following bar diagram represents the result of students of class 10, of 4 years. Study the graph and answer the following
In which years, the maximum number of students appeared in class $10^ {th}$ Examination
Answer & Explanation
Answer : Option A |
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Explanation : |
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2001 = 30 + 60 + 110 = 20 |
2 .
$\Delta$ABC, the medians AD , BE and CF intersect eachother at the point G. If the area of $\Delta$ ABC is 36 sq.cm, then the area of the quadrilateral BDGF is equal to
Answer & Explanation
Answer : Option B |
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Explanation : |
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3 .
What is mean proporti onal between (15 + $\sqrt {200}$) and (27 - $\sqrt {648}$) ?
Answer & Explanation
Answer : Option C |
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Explanation : |
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4 .
A boat goes 40 km downstream in one hour and the same distance upstream in two hours. The speed of the boat in still water is
Answer & Explanation
Answer : Option A |
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Explanation : |
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The speed of boat during downstream = 40 km/hr
The speed of boat during upstream =$40 \over 2$ = 20 km/hr
So, the speed of boat in still water = $40 + 20 \over 2$ km/hr = 30 km/hr |
5 .
The sum of a two digit number and the number obtained by reversing the order of its digit is 121 and both digits is differ by 3. Find the number
Answer & Explanation
Answer : Option A |
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Explanation : |
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Let number is = 10x+y
After reversing the number = 10y+ x
ATQ,
(10x+ y) + (10y+x) = 121
x+ y= 11
x- y= 3
So, x = 7 and y= 4
Number will be = 74 |
6 .
A and B are friends and their ages differ by 2 years. A's father D is twice as old as A and B is twice as old as his sister C. The age of D and C differ by 40 years. Find the age of A (A > B)
Answer & Explanation
Answer : Option A |
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Explanation : |
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Let the age of A = xyears
So, the age of D = 2xyears
so, the age of C = (2x- 40) years
So, the age of B = 2(2x- 40) years
ATQ,
x= 2(2x- 40) + 2
x= 4x- 80 + 2
3x= 78
x= 26 years
So, the age of A = 26 years |
7 .
If $\theta$ is an acute angle such that cos $\theta$ = $3 \over 5$ , then $sin\theta tan \theta - 1 \over 2 tan^2 \theta$ is equal to
Answer & Explanation
Answer : Option C |
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Explanation : |
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8 .
Last year my age was a perfect square number. Next year it wi ll be a cubic number. What is my present age ?
Answer & Explanation
Answer : Option A |
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Explanation : |
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9 .
Jaydeep purchased 25 kg of rice at the rate of Rs. 16.58 per kg and 35 kg of rice at the rate of Rs. 24.50 per kg. He mixed the two and sold the mixture. At what price per kg did he sell the mixture to make 25%. Profit ?
Answer & Explanation
Answer : Option D |
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Explanation : |
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ATQ,
Total cost price = $Rs.$ (25 $\times$ 16.58 + 35 $\times$ 24.50)
= $Rs.$ 1272
Profit = 25%
Total sell price = Rs.1272 $\times$ $125 \over 100$ = Rs. 1590
Mixture per kg = Rs. $1590 \over 25 + 35$ = Rs. 26.50 |
10 .
The volume of a metallic sphere is 38808 $cm^3$ . Find its total surface area
Answer & Explanation
Answer : Option D |
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Explanation : |
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