Candidates aiming to join IMA or AFA or INA through CDS 2 2017 Entrance Exam must clear all the three papers of CDS written exams, that are English, General Knowledge and Elementary Mathematics. The mathematics paper contains around 8 to 10 questions from Trigonometry in this article we are sharing 10 Must Know Trigonometry CDS 2 2017 Mathematics Exam Questions for you.
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10 Must Know Trigonometry CDS 2 2017 Mathematics Exam Questions
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1. Suppose chords AB and CD of a circle intersect at a point P inside the circle. Two right-angled triangles A’B’P’ and C’Q’D’ are formed as shown in the figures below such that A’P’ = AP, B’P’ = BP, C’Q’ = CP, D’Q’ = DP and ∠A’P’B’ = 90degree= ∠C’Q’D’ :
 Which of the following statements are not correct?
1. A’P’B’ and CQ’D’ are similar triangles, but need not be congruent.
2. A’P’B’ and CQ’D’ are congruent triangles.
3. A’P’B’ and CQ’D’ are triangles of same area.
4. A’P’B’ and CQ’D’ are triangles of same perimeter.
Select the correct answer using the code given below.
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| a. 2 and 3 only | ||
| b. 1 and 3 only | ||
| c. 1, 2 and 4 only | ||
| d. 1,2,3 and 4 | ||
| Answer. b | ||
2.  A circle of 3 m radius is divided into three areas by semicircles of radii 1 m and 2 m as shown in the figure above. The ratio of the three areas A, B and C will be |
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| a. 2:3:2 | ||
| b. 1: 1: 1 | ||
| c. 4:3:4 | ||
| d. 1:2: 1 | ||
| Answer. d | ||
3. .PNG) ABC is a triangle right angled at C as shown in the figure above. Which one of the following is correct? |
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| a. AQ²+AB² = BP²+PQ² | ||
| b. AQ²+PQ² = AB²+BP² | ||
| c. AQ²+BP² = AB²+PQ² | ||
| d. AQ²+AP² = BK²+KQ² | ||
| Answer. c | ||
4. In the figure given above, AD = CD = BC. What is the value of ∠CDB?.PNG) |
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| a. 32° | ||
| b. 64° | ||
| c. 78° | ||
| d. Cannot be determined due to insufficient data | ||
| Answer. b | ||
5.  In the figure given above, p and q are parallel lines. What are the values of the angles x, y and z? |
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| a. x = 80°, y = 40°, z = 100° | ||
| b. x = 80′, y = 50°, z = 105° | ||
| c. x = 70°, y = 40°, z= 110° | ||
| d. x = 60°, y = 20°, z = 120′ | ||
| Answer. d | ||
6.  The linear inequations, for which the shaded area in the figure given above is the solution set, are |
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| a. 2x+6y≤21, 5x-2y≤10 | ||
| b. 2x + 6y≤21, 5x-2y≥10 | ||
| c. 2x+6y≤21, 5x-2y≤10 | ||
| d. 2x+6y≥21, 5x-2y≥10 | ||
| Answer. a | ||
7. The age distribution of 40 children is as follows:.PNG)
Consider the following statements in respect of the above frequency distribution : 1. The median of the age distribution is 7 years. 2. 70% of the children are in the age group 6-9 years. 3. The modal age of the children is 8 years. Which of the above statements are correct? |
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| a. 1 and 2 only | ||
| b. 2 and 3 only | ||
| c. 1 and 3 only | ||
| d. 1, 2 and 3 | ||
| Answer. b | ||
8.  AD is the diameter of a circle with area 707 m² and AB = BC = CD as shown in the figure above. All curves inside the circle are semicircles with their diameters on AD. What is the cost of levelling the shaded region at the rate of Rs 63 per square metre? |
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| a. Rs 29,700 | ||
| b. Rs 22,400 | ||
| c. Rs 14,847 | ||
| d. None of the above | ||
| Answer. b | ||
9. In the given figure, AB = 6 cm and O is the middle point of AB. Semicirclesare drawn on AB, AO and OB.If C is the centre of the small circlewhich touches all the semi-circles, then the radius of this small circle is |
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| a. 3 cm | ||
| b. 2.25 cm | ||
| c. 1 cm | ||
| d. 2 cm | ||
Solution.  |
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| Answer. c | ||
10. In the given figure, OAB is a 69. triangle and ABCD is a parallelogram. If OA = AD = 3 cm, OB = 4 cm, /AOB = 90° and /OAB = /BAD, then the area of the figure AOBCDA is |
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| a. 18 centimeter square | ||
| b. 21 centimeter square | ||
| c. 24 centimeter square | ||
| d. 27 centimeter square | ||
| Answer. a | ||
