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Q1 / 25
2.00 marks
In ABC, AB= BC and D is a point inside ∆ABC such that ∠ DAC = ∠ DCA. Consider the following statements: - I. ∆ ABC is an isosceles II. D is the centroid of ∆ABC III. ABD is congruent to ∆CBD Which of the following is correct?
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Q2 / 25
2.00 marks
Sum of LCM & HCF of two numbers is 857 and LCM is 235 more than HCF. The product of two numbers is?
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Q3 / 25
2.00 marks
The population of a town increased from 268000 in 2007 to 375200 in 2010. What is the percentage increase in the population of the town in three years?
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Q4 / 25
2.00 marks
If X+1/X = 6 then find the value of X 3 + 1/X 3 .
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Q5 / 25
2.00 marks
If the gain is two-seventh of the selling price, then the gain percentage is:
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Q6 / 25
2.00 marks
A man can row a boat at 10km/h in still water. If the speed of the stream is 7km/h, what is the time taken (in hours) to row a distance of 85 km down the stream?
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Q7 / 25
2.00 marks
The ratio of an amount invested and the amount received is 5:8 in 5 years at simple interest. Find rate of interest.
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Q8 / 25
2.00 marks
Find the value of the following:
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Q9 / 25
2.00 marks
If the numerical value of total surface area is equal to the volume of the cube, then find the diagonal of cube?
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Q10 / 25
2.00 marks
A shopkeeper earns a profit of 21% after selling a book at 21% discount on the printed price. The ratio of the cost price and selling price of the book is:
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Q11 / 25
2.00 marks
The ratio of measures of the angles of a triangle is given as 3:4:8. What is the measure of the smallest of the three angles?
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Q12 / 25
2.00 marks
A and B are two pipes which can fill a tank individually in 20 minutes and 25 minutes respectively, however there is a leakage at the bottom of tank which can empty the filled tank in 30 minutes. If the tank is empty initially, how much time will both the taps take to fill the tank (leakage is still there)?
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Q13 / 25
2.00 marks
What is the value of x for which x, x+1 and x+3 all are prime number?
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Q14 / 25
2.00 marks
If ptanx+ qsecx= a and qtanx+ psecx= b. Then, find the value of a 2 −b 2 .
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Q15 / 25
2.00 marks
In what ratio should rice at ₹65 per kg be mixed with rice at ₹40 per kg such that by selling the mixture at ₹63 per kg, there is a gain of 12.5%?
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Q16 / 25
2.00 marks
From a sampled data: Mean= 80, Median= 65. Find Mode?
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Q17 / 25
2.00 marks
If the amount on a certain principal in 3 years at 12% rate of interest compounded annually is Rs. 12,000 what will be the amount (in Rs.) after the 4 th year?
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Q18 / 25
2.00 marks
From the top of a pole of height 50 √ 3 feet high, the angle of elevation of the top of the upright tower was 45 0 . If the feet of the pole is 25 feet away from the foot of the tower, then what is the height of the tower?
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Q19 / 25
2.00 marks
The distance travelled by a person varies directly with the duration of the journey. If the person travels 378 km in 7 hours, in how many hours will the person cover 918 km?
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Q20 / 25
2.00 marks
For what value of m will the system of equations: 22x−88y +17=0 and 15x – my – 13=0 have no solutions?
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Q21 / 25
2.00 marks
A and B can do a piece of work in 24 days. B and C together can do it in 36 days. If A is twice as good as a workman as C. B alone can do the work in?
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Q22 / 25
2.00 marks
Find the Avg. of 11,22,33,44………121.
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Q23 / 25
2.00 marks
The volume and height of a Right circular cone are 2 910.6 cm 3 and 25.2 cm find its C.S.A?
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Q24 / 25
2.00 marks
The incomes of A, B and C are in the ratio of 8:9:6 and their spending in the ratio of 12:15:10. If A saves 25% of his Income. What is the ratio of the savings of C, A, B?
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Q25 / 25
2.00 marks
Three cards are drawn at random from a pack of 52 cards. Find the probability of getting all three cards of same number?
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