Q1. If a + b = 5 and a – b = 3, then the value of (a2 + b2) is:
(a) 17
(b) 18
(c) 19
(d) 20
Q2. The point equidistant from the sides of a triangle is called
(a) Circumcenter
(b) Incentre
(c) Orthocentre
(d) Centroid
Q3. The value of cosec260° + sec260° – cot260° + tan230° will be
Q4. In a ∆ABC, if 4∠A = 3 ∠B = 12 ∠C, find ∠A
(a) 22.5°
(b) 90°
(c) 67.5°
(d) 112.5°
Q5. The average height of 30 boys out of a class of 50 is 160 cm. If the average height of the remaining boys is 165 cm, the average height of the whole class (in cm) is:
(a) 161
(b) 162
(c) 163
(d) 164
Q6. If tanθ + cotθ = 5, then the value of tan2 θ + cot2 θ is:
(a) 22
(b) 25
(c) 23
(d) 27
Directions (7-8): The pie-chart shows the percentage of literate and illiterate male and female in a state. Study the diagram and answer the following questions.
Q7. If the total population of the state is 35000, then the difference between the numbers of literate male and literate female is
(a) 3500
(b) 3700
(c) 400
(d) 4500
Q8. The difference of central angles corresponding to illiterate male and illiterate female is
(a) 12.2°
(b) 13.4°
(c) 11.2°
(d) 14.4°
Q9. The difference between the compound interest and the simple interest on Rs. 6250 at 8% per annum in 2 years is:
(a) Rs. 30
(b) Rs. 40
(c) Rs. 50
(d) Rs. 60
Q10. What is the value of 40% of 250 + 10% of 650 x 5 ?
(a) Rs. 315
(b) Rs. 425
(c) Rs. 525
(d) Rs. 600
Solutions:
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