**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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