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SSC CGL 2019

The document contains 12 multiple choice questions related to trigonometric identities and relationships. The questions cover topics like evaluating expressions involving trigonometric functions, solving trigonometric equations, and finding unknowns given relationships between trigonometric functions.

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Akshaya M -108
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0% found this document useful (0 votes)
91 views8 pages

SSC CGL 2019

The document contains 12 multiple choice questions related to trigonometric identities and relationships. The questions cover topics like evaluating expressions involving trigonometric functions, solving trigonometric equations, and finding unknowns given relationships between trigonometric functions.

Uploaded by

Akshaya M -108
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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𝑃 2 −1 2 3

Q1. If 𝑠𝑖𝑛𝜃 = 𝑃2+1 equal to 𝑐𝑜𝑠𝜃 (c) (d)


5 5
𝑃 2 −1
यदि 𝑠𝑖𝑛𝜃 = 𝑃2+1 तो 𝑐𝑜𝑠𝜃 बराबर है:
SSC CGL 2019 𝑠𝑖𝑛2 𝜃
Q7. If = 5 then find the value of
2𝑃 𝑃 𝑡𝑎𝑛2 𝜃−𝑠𝑖𝑛2 𝜃
(a) (b) 24𝑠𝑖𝑛 𝜃−15𝑠𝑒𝑐 2 𝜃
2
1+𝑃2 𝑃2 −1 .
𝑃 2𝑃 6𝑐𝑜𝑠𝑒𝑐 2 𝜃−7𝑐𝑜𝑡 2 𝜃
(c) (d) 2 𝑠𝑖𝑛2 𝜃 24𝑠𝑖𝑛2 𝜃−15𝑠𝑒𝑐 2 𝜃
1+𝑃2 𝑃 −1 यदि 2 = 5 तो का मान
Q2. If 𝑦 = 𝑡𝑎𝑛 35° 𝑡𝑎𝑛 𝜃−𝑠𝑖𝑛2 𝜃 6𝑐𝑜𝑠𝑒𝑐 2 𝜃−7𝑐𝑜𝑡 2 𝜃
ज्ञात करो।
find the value of (2 𝑡𝑎𝑛 55° + 𝑐𝑜𝑡 55°)
SSC CGL 2021
SSC CHSL 2021
(a) 2 (b) – 2
2+𝑦 2 2−𝑦
(a) 𝑦
(b) 𝑦2
(c) 14 (d) – 14
2−𝑦 2 𝑎
(c) 𝑦2
2
(d) 𝑦 Q8. If 𝑠𝑒𝑐𝜃 = 𝑏 , 𝑏 ≠ 0 then find the value of
𝑎 1−𝑡𝑎𝑛2 𝜃
Q3. If 𝑠𝑖𝑛 23° = 𝑏 .
2−𝑠𝑖𝑛2 𝜃
find the value of (𝑠𝑒𝑐 23° − 𝑠𝑖𝑛 67°) 𝑎 1−𝑡𝑎𝑛2 𝜃
SSC CGL 2023 यदि 𝑠𝑒𝑐𝜃 = 𝑏 , 𝑏 ≠ 0 तो का मान ज्ञात करो।
2−𝑠𝑖𝑛2 𝜃
𝑎2 √𝑏 2 −𝑎2
SSC CGL T-2 2020
(a) √𝑏2−𝑎2 (b) 𝑎𝑏 𝑎2 (2𝑏2 +𝑎2 ) 𝑎2 (2𝑏2 +𝑎2 )
𝑎2 𝑎2 (a) (b)
(c) 𝑏√𝑏2+𝑎2 (d) 𝑏√𝑏2−𝑎2 𝑏2 (𝑎2 −𝑏2 ) 𝑏2 (𝑎2 +𝑏2 )
𝑎2 (2𝑏2 −𝑎2 ) 𝑎2 (2𝑏2 −𝑎2 )
Q4. If 𝑐𝑜𝑠𝑒𝑐 𝜃 = (𝑥2−𝑦2)
𝑥 2 +𝑦 2 (c) (d)
𝑏2 (𝑎2 +𝑏2 ) 𝑏2 (𝑎2 +𝑏2 )
𝑠𝑒𝑐𝜃+𝑡𝑎𝑛𝜃 51
what is the value of 𝑡𝑎𝑛𝜃 ? Q9. If 𝑠𝑒𝑐𝜃−𝑡𝑎𝑛𝜃 = 2 79 then find the value of 𝑠𝑖𝑛𝜃.
SSC CHSL 𝑠𝑒𝑐𝜃+𝑡𝑎𝑛𝜃 51
यदि 𝑠𝑒𝑐𝜃−𝑡𝑎𝑛𝜃 = 2 79 तो 𝑠𝑖𝑛𝜃 का मान ज्ञात करो।
𝑥 2 −𝑦 2 2𝑥𝑦 SSC CGL T-2 2020
(a) (b)
𝑥 2 +𝑦 2 𝑥 2 −𝑦 2 65 65
𝑥 2 −𝑦 2 𝑥 2 +𝑦 2 (a) (b)
(c) (d) 441
91
144
39
2𝑥𝑦 2𝑥𝑦
12 𝑠𝑖𝑛𝜃 (1−𝑡𝑎𝑛𝜃) (c) (d)
Q5. If cos𝜃 = 13 find the value of (𝑡𝑎𝑛𝜃 (1+𝑐𝑜𝑠𝑒𝑐𝜃)) ? 114 72
Q10. 𝑐𝑜𝑠𝑒𝑐 2910° + 𝑠𝑒𝑐 4260° + tan 2565° +
SSC CGL t-2 2022
cot 1755° =?
25 35
(a) (b) SSC CGL 2023
78 234
35 25 (a) 3 (b) 0
(c) (d) (c) 4 (d) 1
108 156
Q6. In triangle ABC, AB = 20cm, BC = 21cm and AC 4𝑠𝑖𝑛2 30° + 𝑐𝑜𝑠2 60° − 𝑡𝑎𝑛2 45°
= 29cm then what is the value of cot c + cosec c – 2 tan Q11. 2𝑠𝑖𝑛60° 𝑐𝑜𝑠30°−𝑡𝑎𝑛 45°
A? PHASE X 2022
1
दिभजु ABC में, AB = 20cm, BC = 21cm व AC = 29cm तो (a) (b) 1/2
√2
cot c + cosec c – 2 tan A का मान क्या है? (c) 1 (d) 1/4
SSC CGL 2021 Q12. If 𝐴 = 10° find the value of
9 7
(a) (b) 12 𝑠𝑖𝑛3𝐴+5 𝑐𝑜𝑠(5𝐴−5)°
20 20 ( 9𝐴 ).
9 𝑠𝑖𝑛 − 4 𝑐𝑜𝑠 (5𝐴+10)°
2

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SSC CGL 2022 3+2√3 3+2√3
(a) (b) − ( )
6√2+5 6√2−5 √3+1 √3+1
(a) (b) 2
3+ √3 3−2√3
9+2√2 9−2√2
(c) − ( ) (d)
6√2+5 9−2√2 √3−1 √3+1
(c) (d)
9−2√2 6√2+5 Q19. If 𝑠𝑖𝑛(𝐴 + 𝐵) = 1 and 𝑐𝑜𝑠(𝐴 − 𝐵) = √3 and
Q13. If 𝑐𝑜𝑡 𝜃 = 𝑐𝑜𝑡30°. 𝑐𝑜𝑡60° and 𝜃 is an acute 2
5𝑠𝑖𝑛2 𝐵+4𝑡𝑎𝑛2 𝐴
angle, then 2𝜃 is equal to - . 0 ≤ 𝐴 + 𝐵 ≤ 90° find the value of
2𝑠𝑖𝑛𝐵.𝑐𝑜𝑠𝐴
यदि 𝑐𝑜𝑡 𝜃 = 𝑐𝑜𝑡30°. 𝑐𝑜𝑡60° और 𝜃 कोई न्यनू कोण है, तो SSC CGL 2021
(a) 18 (b) 20
2𝜃 के बराबर है- . 1
SSC CHSL 2022 (c) 16 2 (d) 26 12
2𝐴+𝐵 2𝐴−𝐵 √3
(a) 30° (b) 45° Q20. If 𝑠𝑖𝑛 ( ) = 𝑐𝑜𝑠 ( )= and
2 2 2
(c) 60° (d) 90° (0° <
2𝐴−𝐵
< 90° & 0° < 2
2𝐴+𝐵
< 90°)
2
Q14. If √3 𝑡𝑎𝑛𝜃 = 3 𝑠𝑖𝑛𝜃 find the value of 𝑠𝑖𝑛{3(𝐴 − 𝐵)}
find the value of 𝑠𝑖𝑛2 𝜃 − 𝑐𝑜𝑠 2 𝜃 . SSC CGL 2021
SSC CGL T-2 2022 1
(a) 1/2 (b) 1/5 (a) 1 (b)
2
(c) 1/3 (d) 1/4 1 √3
(c) (d)
√2 2
Q15. If 3𝑡𝑎𝑛𝜃 = 2√3 𝑠𝑖𝑛𝜃, find the value of Q21. If 3𝑠𝑖𝑛2 𝜃 + 4 𝑐𝑜𝑠𝜃 − 4 = 0 , 0° < 𝜃 < 90°
𝑐𝑜𝑠𝑒𝑐 2 2𝜃+𝑐𝑜𝑡 2 2𝜃
. where (0° < 𝜃 < 90°)
𝑠𝑖𝑛2 𝜃+𝑡𝑎𝑛2 2𝜃
find the value of (cose𝑐 2 𝜃 + 𝑐𝑜𝑡 2 𝜃) .
SSC CGL T-2 2020 SSC CGL 2022
(a)
4
(b)
4 (a) 5/4 (b) 4/3
3
20
33
20
(c) 25/3 (d) 17/9
(c) (d) Q22. If 3 𝑠𝑒𝑐𝜃 + 4 𝑐𝑜𝑠𝜃 − 4√3 = 0 where 𝜃 is an
39 27
Q16. If (2𝑐𝑜𝑠𝐴 + 1)(2𝑐𝑜𝑠𝐴 − 1) = 0 , 0° < acute angle so find the value of 𝜃.
𝐴 < 90° find the value of 𝐴. SSC CGL 2021
SSC CGL 2022 (a) 20° (b) 30°
(a) 15° (b) 30° (c) 45° (d) 60°
(c) 60° (d) 90° Q23. If 7𝑐𝑜𝑠 2 𝜃 + 3𝑠𝑖𝑛2 𝜃 = 6 , 0° < 𝜃 < 90° so
Q17. If 2𝑠𝑖𝑛(3𝑥 − 15°) = 1 and 𝑐𝑜𝑡 2 2𝜃+𝑠𝑒𝑐 2 2𝜃
(0° < 3𝑥 − 15 < 90°) find the value of 2
𝑡𝑎𝑛 2𝜃−𝑠𝑖𝑛2 2𝜃
find the value of 𝑐𝑜𝑠2 (2𝑥 + 15)° + 𝑐𝑜𝑡 2 (𝑥 + 15°) SSC CGL 2020
SSC CGL 2021 52 26
(a) (b)
7 7 27 15
(a) (b) − 49 28
2 2 (c) (d)
5 45 27
(c) (d) 1 Q24. (𝑠𝑖𝑛𝜃 𝑡𝑎𝑛𝜃 + 𝑐𝑜𝑠𝜃)2 − 1 is equal to
2
Q18. If 𝑐𝑜𝑠𝜃 − 𝑠𝑖𝑛𝜃 = √3 𝑐𝑜𝑠(90 − 𝜃) , PHASE X 2022
0° < 𝜃 < 90° find the value of (𝑡𝑎𝑛𝜃 − 𝑐𝑜𝑡𝜃) . (a) 𝑠𝑒𝑐 2 𝜃 (b) 𝑠𝑒𝑐 𝜃
SSC CGL 2021 (c) 𝑐𝑜𝑠𝑒𝑐 𝜃 (d) 𝑡𝑎𝑛2 𝜃
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𝑡𝑎𝑛𝜃 𝑐𝑜𝑡𝜃
Q25. If 1−𝑐𝑜𝑡𝜃 + 1−𝑡𝑎𝑛𝜃 = 1 + 𝐾 So find the value of (c) 𝑠𝑒𝑐𝜃 (d) 𝑐𝑜𝑠𝑒𝑐𝜃. 𝑠𝑒𝑐𝜃
K. Q33. Find the value of
SSC CGL 2019 (1+𝑐𝑜𝑠𝜃−𝑠𝑖𝑛𝜃)2 (1−𝑐𝑜𝑠𝜃)(𝑠𝑒𝑐 3 𝜃.𝑐𝑜𝑠𝑒𝑐 2 𝜃)
(𝑠𝑒𝑐𝜃−𝑡𝑎𝑛𝜃)(𝑡𝑎𝑛𝜃+𝑐𝑜𝑡𝜃)
(a) 𝑐𝑜𝑡𝜃 + 𝑠𝑒𝑐𝜃 (b) 𝑐𝑜𝑠𝑒𝑐𝜃. 𝑠𝑒𝑐𝜃 CGl T-2 2022
(c) tan𝜃. 𝑐𝑜𝑠𝑒𝑐𝜃 (d) 𝑡𝑎𝑛𝜃 + 𝑠𝑒𝑐𝜃
(a) sin θ (b) cot θ
Q26. (𝑠𝑒𝑐∅ − 𝑡𝑎𝑛∅)2 (1 + 𝑠𝑖𝑛∅)2 ÷ 𝑠𝑖𝑛2 ∅ =?
SSC CGL T-2 2019 (c) 2 cos θ (d) 2 tan θ
(a) 𝑐𝑜𝑡 2 ∅ (b) 𝑠𝑖𝑛 ∅ Q34. If 𝑥 𝑠𝑖𝑛 𝜃 + 𝑦 𝑐𝑜𝑠 3 𝜃 = 𝑠𝑖𝑛𝜃. 𝑐𝑜𝑠𝜃 and
3

(𝑥 𝑠𝑖𝑛 𝜃 = 𝑦 𝑐𝑜𝑠 𝜃) so find the value of 𝑥 2 + 𝑦 2 .


(c) 𝑐𝑜𝑠𝑒𝑐 ∅2
(d) 𝑠𝑖𝑛2 ∅
Q27. Find the value of SSC CHSL 2020
(a) 0 (b) 1
(1 + 𝑐𝑜𝑡𝜃 − 𝑐𝑜𝑠𝑒𝑐𝜃)(1 + 𝑐𝑜𝑠𝜃 + 𝑠𝑖𝑛𝜃). 𝑠𝑒𝑐𝜃
SSC CGL T-2 2019 (c) 2 (d) 4
25
(a) -2 (b) 𝑠𝑒𝑐𝜃. 𝑐𝑜𝑠𝑒𝑐𝜃 Q35. If 𝑠𝑒𝑐 2 𝜃 + 𝑡𝑎𝑛2 𝜃 = 18 so find the value of
(c) 𝑠𝑖𝑛𝜃. 𝑐𝑜𝑠𝜃 (d) 2 (𝑠𝑒𝑐 4 𝜃 − 𝑡𝑎𝑛4 𝜃)
Q28. Find the value of SSC CGL 2023
𝑠𝑖𝑛𝜃+𝑐𝑜𝑠𝜃−1 𝑡𝑎𝑛2 𝜃 (𝑐𝑜𝑠𝑒𝑐 2 𝜃−1) (a) 18/25 (b) 25/18
×
𝑠𝑖𝑛𝜃−𝑐𝑜𝑠𝜃+1 𝑠𝑒𝑐𝜃−𝑡𝑎𝑛𝜃 (c) 25/9 (d) 25/12
SSC CGL T-2 2019 (2+𝑐𝑜𝑡 2 𝜃+𝑡𝑎𝑛2 𝜃)
(a) 0 (b) 1 Q36. If p = 1 1 and
( + )
1+𝑐𝑜𝑠𝜃 1−𝑐𝑜𝑠𝜃
(c) -1 (d) 1/2 𝑞 = (𝑠𝑒𝑐 𝜃 + 𝑡𝑎𝑛 𝜃)(1 − 𝑠𝑖𝑛𝜃)
𝑐𝑜𝑡𝜃+𝑐𝑜𝑠𝜃 so find the value of 𝑝𝑞 =?
Q29. Find the value of √𝑐𝑜𝑡𝜃−𝑐𝑜𝑠𝜃 ICAR MAINS 2023
SSC CGL T-2 2019 (a) 𝑠𝑒𝑐 2 𝜃
𝑠𝑒𝑐𝜃
(b) 2
(a) 𝑠𝑒𝑐𝜃 + 𝑡𝑎𝑛𝜃 (b) 1 + 𝑠𝑒𝑐𝜃. 𝑡𝑎𝑛𝜃 𝑠𝑒𝑐 3 𝜃
(c) 1 − sec𝜃. 𝑡𝑎𝑛𝜃 (d) 𝑠𝑒𝑐𝜃 − 𝑡𝑎𝑛𝜃 (c) 𝑠𝑒𝑐𝜃 (d) 2
𝑠𝑒𝑐 2 𝜃(2+𝑡𝑎𝑛2 𝜃+𝑐𝑜𝑡 2 𝜃)÷(𝑠𝑖𝑛2 𝜃−𝑡𝑎𝑛2 𝜃) Q37. If 𝑥 = (1 + 𝑐𝑜𝑠𝑒𝑐 2 𝜃 + 𝑡𝑎𝑛2 𝜃)
Q30. (𝑐𝑜𝑠𝑒𝑐 2 𝜃+𝑠𝑒𝑐 2 𝜃)(1+𝑐𝑜𝑡 2 𝜃)2 𝑦 = (𝑡𝑎𝑛𝜃 + 𝑐𝑜𝑡𝜃). 𝑠𝑖𝑛𝜃
SSC CGL T-2 2020 𝑡𝑎𝑛3 𝜃 𝑐𝑜𝑡 3 𝜃
𝑧= + 𝑐𝑜𝑠𝑒𝑐 2𝜃 + 2𝑠𝑖𝑛𝜃. 𝑐𝑜𝑠𝜃
(a) -1 (b) 1 𝑠𝑒𝑐 2 𝜃
so find the value of (𝑥 ÷ 𝑧 × 𝑦).
(c) 2 (d) -2
ICAR MAINS 2023
Q31. Find the value of
𝑐𝑜𝑠6 𝜃+𝑠𝑖𝑛6 𝜃+3𝑠𝑖𝑛2 𝜃.𝑐𝑜𝑠2 𝜃
(a) 𝑠𝑒𝑐 2 𝜃. 𝑐𝑜𝑠𝑒𝑐2 𝜃 (b) 𝑠𝑒𝑐 2 𝜃. 𝑐𝑜𝑠𝑒𝑐 𝜃
𝑐𝑜𝑠𝑒𝑐𝜃.𝑠𝑒𝑐𝜃(𝑠𝑖𝑛𝜃+𝑐𝑜𝑠𝜃−1)(𝑠𝑖𝑛𝜃+𝑐𝑜𝑠𝜃+1) (c) 𝑠𝑒𝑐𝜃. 𝑐𝑜𝑠𝑒𝑐 2 𝜃 (d) 𝑠𝑒𝑐𝜃. 𝑐𝑜𝑠𝑒𝑐𝜃
SSC CGL T-2 2020 Q38. If 𝑡𝑎𝑛2 𝜃 = 1 − 𝑎2 so find the value of
(a) 1 (b) 2 (𝑠𝑒𝑐𝜃 + 𝑡𝑎𝑛3 𝜃. 𝑐𝑜𝑠𝑒𝑐𝜃)
(c) 3 (d) 1/2 SSC CGL 2022
𝑡𝑎𝑛3 𝜃 𝑐𝑜𝑡3 𝜃
( 2 +
𝑠𝑒𝑐 𝜃 𝑐𝑜𝑠𝑒𝑐2 𝜃
)+2𝑠𝑖𝑛𝜃.𝑐𝑜𝑠𝜃 (a) (2 − 𝑎)3/2 (b) (𝑎2 − 1)3/2
Q32. Find the value of (1+𝑐𝑜𝑠𝑒𝑐 2 𝜃+𝑡𝑎𝑛2 𝜃) (c) (2 − 𝑎2 )3/2 (d) 𝑎3/2
SSC CGL T-2 2022 Q39. If 𝑠𝑖𝑛 (20 + 𝑥°) = 𝑐𝑜𝑠 60°,
(a) 𝑠𝑖𝑛𝜃. 𝑐𝑜𝑠𝜃 (b) 𝑐𝑜𝑠𝑒𝑐𝜃 0° ≤ (20 + 𝑥) ≤ 90° so find the value
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2 𝑠𝑖𝑛2 (3𝑥 + 15°) − 𝑐𝑜𝑠𝑒𝑐 2 (2𝑥 + 10°). (c) 1/10 (d)
−1
SSC CGL 2021 10
Q46. Find the value of
(a) -2 (b)-3 3(𝑐𝑜𝑠𝑒𝑐 2 26°−𝑡𝑎𝑛2 64°)+(𝑐𝑜𝑡 2 42°−𝑠𝑒𝑐 2 48°)
−1 𝑐𝑜𝑡(22°−𝜃)−𝑐𝑜𝑠𝑒𝑐 2 (62°+𝜃)+𝑡𝑎𝑛2 (28°−𝜃)−𝑡𝑎𝑛(68°+𝜃)
(c) 3 (d)
3 SSC CGL T-2 2022
Q40. If 𝑠𝑖𝑛 3𝐴 = 𝑐𝑜𝑠(𝐴 + 10°) where 3A is an acute (a) -1 (b) -2
angle then Find the value of (c) 3 (d) 4
3𝐴 3
(2𝑐𝑜𝑠𝑒𝑐 2 + 6𝑡𝑎𝑛2 3𝐴 − 2 𝑡𝑎𝑛2 3𝐴) Q47. Find the value of
यदि 𝑠𝑖𝑛 3𝐴 = 𝑐𝑜𝑠(𝐴 + 10°) जहााँ 3A न्यनू कोण है तो 2𝑠𝑖𝑛2 38°.𝑠𝑒𝑐 2 52°+𝑐𝑜𝑠 64°.𝑠𝑖𝑛 26°+𝑠𝑖𝑛2 64°
3𝐴 3 𝑡𝑎𝑛2 23°+𝑐𝑜𝑡 2 23°−𝑠𝑒𝑐 2 67°−𝑐𝑜𝑠𝑒𝑐 2 67°
(2𝑐𝑜𝑠𝑒𝑐 + 6𝑡𝑎𝑛2 3𝐴 − 2 𝑡𝑎𝑛2 3𝐴) का मान ज्ञात SSC CGL T-2 2020
2
करो। (a) -2 (b) 3/2
SSC CGL T-2 2020 −3
(a) 7/4 (b) 35/2 (c) 2 (d)
2
(c) 5 (d) 17/2 Q48. If 𝑥 = 𝑠𝑒𝑐 57° so find the value of (𝑐𝑜𝑡 2 33° +
Q41. If 𝑐𝑜𝑠𝜃 = 𝑠𝑖𝑛2𝜃 ≠ 0 so find the value of 𝑠𝑖𝑛2 57° + 𝑠𝑖𝑛2 33° + 𝑐𝑜𝑠𝑒𝑐 2 57°. 𝑐𝑜𝑠 2 33° +
𝑠𝑒𝑐 2 33°. 𝑠𝑖𝑛2 57°)
(𝑐𝑜𝑠 4 𝜃 + 𝑠𝑖𝑛4 𝜃 + 𝑐𝑜𝑠 3 𝜃 + 𝑠𝑖𝑛3 𝜃 + 𝑠𝑖𝑛2 𝜃 +
SSC CGL T-2 2020
𝑐𝑜𝑠 2 𝜃 + 𝑠𝑖𝑛𝜃 + 𝑐𝑜𝑠𝜃)
Phase X 2020 (a) 𝑥 2 + 2 (b) 2𝑥 2 + 1
1
(a)
18+8√3
(b)
8+7√3 (c) 𝑥 2 + 1 (d) 𝑥2+1
7 18 Q49.
7+18√3 18+7√3
(c) 8 (d) 8 3(𝑐𝑜𝑡 2 47°−𝑠𝑒𝑐 2 43°)−2(𝑡𝑎𝑛2 23°−𝑐𝑜𝑠𝑒𝑐 2 67°)
=?
Q42. what will be the value of 𝑐𝑜𝑠𝑒𝑐 2 (68°+𝜃)−𝑡𝑎𝑛(𝜃+61°)−𝑡𝑎𝑛2 (22−𝜃)+𝑐𝑜𝑡(29°−𝜃)

𝑡𝑎𝑛 48°. 𝑡𝑎𝑛 23°. 𝑡𝑎𝑛 42°. 𝑡𝑎𝑛 67°


SSC CGL T-2
SSC CHSL 2022 (a) 1 (b) 0
(a) 0 (b) 1 (c) -1 (d) 5
(c) √3 (d) 1/2 Q50. 𝑠𝑖𝑛 (𝐴 + 𝐵) =?
Q43. Find the value of SSC CGL 2023
cot 25°. 𝑐𝑜𝑡 35°. 𝑐𝑜𝑡 45°. 𝑐𝑜𝑡 55°. 𝑐𝑜𝑡 65° (a) 𝑐𝑜𝑠 𝐴 𝐶𝑜𝑠𝐵 − 𝑠𝑖𝑛𝐴 𝑠𝑖𝑛 𝐵
SSC CHSL 2022 (b) 𝑠𝑖𝑛𝐴. 𝑐𝑜𝑠𝐵 − 𝑐𝑜𝑠𝐴 𝑠𝑖𝑛𝐵
(a) 0 (b) 1 (c) 𝑠𝑖𝑛𝐴 𝑐𝑜𝑠 𝐵 + 𝑐𝑜𝑠 𝐴 𝑠𝑖𝑛𝐵
(c) ½ (d) 1/4 (d) 𝑐𝑜𝑠 𝐴. 𝑐𝑜𝑠 𝐵 + 𝑠𝑖𝑛 𝐴 𝑠𝑖𝑛𝐵
𝑐𝑜𝑠 50° 3 𝑐𝑜𝑠𝑒𝑐 80° 4 15
Q44. 𝑠𝑖𝑛 40° + 𝑠𝑒𝑐 10° − 2 𝑐𝑜𝑠 50°. cosec 40° Q51. If 𝑠𝑖𝑛𝐴 = 5 and sin B = 17 so find value of
SSC CGL T-2 2022 𝑠𝑖𝑛(𝐴 − 𝐵)
(a) 2 (b) 3 SSC CGL 2022
(c) 4 (d) 5 (a) −
32
(b)
−13
𝑡𝑎𝑛 13°.𝑡𝑎𝑛36°.𝑡𝑎𝑛 45°.𝑡𝑎𝑛 54°.𝑡𝑎𝑛 77° 45 85
Q45. 2𝑠𝑒𝑐 260°(𝑠𝑖𝑛260°−3𝑐𝑜𝑠 60°+2) 13 32
(c) (d)
SSC CGL 2021 85 45
1
−1 Q52. In ∆ABC, ∠B=90° and tan A= , then find the
(a) (b) 1/4 √3
4 value of (sinA.cosC+cosA.sinC).
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1 Q59. What will be the value of 𝑐𝑜𝑠 45°. 𝑠𝑖𝑛 15°
∆ABC में ∠B=90° एवं tan A= है तो
√3 SSC CGL 2022
(sinA.cosC+cosA.sinC) का मान ज्ञात करो।
√3−1 √3−1
SSC CGL 2023 (a) (b)
2 4
(a) 1 (b) 2 (c) (√3 + 1) (d) 2√3 − 1
(c) 1/3 (d) 2/3
Q60. Find the value of 𝑐𝑜𝑠𝑒𝑐 15°. 𝑠𝑒𝑐 15°
Q53. If 𝑠𝑖𝑛 (𝐴 + 𝐵) = 𝑐𝑜𝑠 (𝐴 + 𝐵) SSC CGL 2022
so find the value of 𝑡𝑎𝑛 𝐴. (a) 1/2 (b) 1
SSC CGL 2022 (c) 2 (d) 4
1−𝑡𝑎𝑛𝐵 1+𝑡𝑎𝑛𝐵
(a) 1+𝑡𝑎𝑛𝐵 (b) 1−𝑡𝑎𝑛𝐵 Q61. Find the value of sin 75° + 𝑠𝑖𝑛 15°
1+𝑠𝑒𝑐𝐵 1−𝑐𝑜𝑠𝑒𝑐𝐵
(c) 1−𝑠𝑒𝑐𝐵 (d) 1+𝑐𝑜𝑠𝑒𝑐𝐵 SSC CGL 2022
Q54. If 0°<(A,B)<45° and cos (A+B)=24/25 and sin 1 √3
(a) (b)
(A-B)=15/17 then find the value of tan 2A. √2 2
यदि 0°<(A,B)<45° हो तथा cos (A+B)=24/25 एवं sin (A- (c) √
3
(d)
3
B)=15/17 है तो 𝑡𝑎𝑛 2𝐴 का मान ज्ञात करो। 2 √2
SSC CGL 2020 Q62. Find the value of
(a) 0 (b) 1 sin 70° + 𝑐𝑜𝑠 40° − √3 𝑠𝑖𝑛 80°
(c) 416/87 (d) 213/4 (a) 0 (b) 1
𝑠𝑖𝑛𝜃−2𝑠𝑖𝑛3 𝜃
(c) -1 (d) CNF
Q55. Find the value of 𝑠𝑖𝑛 𝐴+𝑠𝑖𝑛 2𝐵+𝑠𝑖𝑛 4𝐴+𝑠𝑖𝑛 5𝐴
Q63. Find the value of 𝑐𝑜𝑠 𝐴+𝑐𝑜𝑠 2𝐴+𝑐𝑜𝑠 4𝐴+𝑐𝑜𝑠 5𝐴
2𝑐𝑜𝑠 3 𝜃−𝑐𝑜𝑠𝜃
SSC CGL 2023 (a) tanA (b) tan2A
(a) tanθ (b) sinθ (c) tan3A (d) 1
(c) cosθ (d) secθ Q64. 𝑡𝑎𝑛 9° − 𝑡𝑎𝑛 27° − 𝑡𝑎𝑛 63° + 𝑡𝑎𝑛 81° =?
(a) 1 (b) 2
Q56. √2 + √2 + √2 + 2𝑐𝑜𝑠8𝜃 (c) 4 (d) -4
SSC CGL 2023 Q65. If 𝑠𝑖𝑛 𝑥 + 𝑠𝑖𝑛 𝑦 = 3 (𝑐𝑜𝑠 𝑦 − 𝑐𝑜𝑠 𝑥)
(a) 2cos𝜃 (b) 2cos2𝜃 𝑠𝑖𝑛 3𝑥
(c) sin2𝜃 (d) cos2𝜃 so find the value of
𝑠𝑖𝑛 3𝑦
2(𝑐𝑜𝑠2 𝑥−𝑠𝑒𝑐 2 𝑥) (a) 1 (b) -1
Q57. If = 𝑎 + 𝑏 𝑐𝑜𝑠 2𝑥
𝑡𝑎𝑛2 𝑥 (c) 0 (d) CND
so find the value of 𝑎, 𝑏 Q66. Find the value of
SSC CGL 2022 𝑐𝑜𝑠 2𝐴. 𝑐𝑜𝑠 2𝐵 + 𝑠𝑖𝑛2 (𝐴 − 𝐵) − 𝑠𝑖𝑛2 (𝐴 + 𝐵)
−3 −1 3 1
(a) 2 , 2 (b) 2 , 2 SSC CGL 2022
(c) −3, −1 (d) 3,1 (a) 𝑠𝑖𝑛(2𝐴 − 2𝐵) (b) 𝑠𝑖𝑛 (2𝐴 + 2𝐵)
Q58. If 𝑡𝑎𝑛 (𝛼 + 𝛽) = 𝑎 𝑎𝑛𝑑 𝑡𝑎𝑛 (𝛼 − 𝛽) = 𝑏 so (c) 𝑐𝑜𝑠 (2𝐴 + 2𝐵) (d) 𝑐𝑜𝑠 (2𝐴 − 2𝐵)
find the value of 𝑡𝑎𝑛 2𝛼 Q67. The value of (1 + 𝑡𝑎𝑛 20°)(1 + 𝑡𝑎𝑛24°)(1 +
SSC CGL 2022 𝑡𝑎𝑛21°)(1 + 𝑡𝑎𝑛25°)
𝑎−𝑏 𝑎+𝑏 (a) 4 (b) 2
(a) 1+𝑎𝑏 (b) 1−𝑎𝑏
𝑎−𝑏 𝑎+𝑏
(c) 1 (d) 0
(c) 1−𝑎𝑏 (d) 1+𝑎𝑏
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(1+𝑡𝑎𝑛 245°)(1−𝑡𝑎𝑛200°) Q77. If 𝑐𝑜𝑠𝑥 (9 𝑐𝑜𝑠𝑒𝑐 𝑥 − 3√5 𝑐𝑜𝑡 𝑥) = 6 so what
Q68. The value of (1+𝑡𝑎𝑛
210°)(1−𝑡𝑎𝑛 165°) 24 𝑠𝑖𝑛𝑥.𝑡𝑎𝑛𝑥
(a) 1 (b) 2 will be the value of ( 9 𝑐𝑜𝑠𝑥−3√5 )
(c) 4 (d) 1/2 (a) 1 (b) 2
Q69. If 𝐴 + 𝐵 = 𝐶 so find tanA. tanB. tanC =? (c) 3 (d) 4
(a) 𝑡𝑎𝑛 𝐴 + 𝑡𝑎𝑛𝐵 + 𝑡𝑎𝑛𝐶 Q78. If (𝑎 − 1) 𝑠𝑖𝑛 𝜃 + 2𝑎 𝑐𝑜𝑠𝜃 = (𝑎2 + 1) so
2

(b) 𝑡𝑎𝑛 𝐴 − 𝑡𝑎𝑛𝐵 − 𝑡𝑎𝑛𝐶 what will be the value of 𝑠𝑒𝑐 𝜃


(c) 𝑡𝑎𝑛 𝐴 − 𝑡𝑎𝑛𝐵 + 𝑡𝑎𝑛𝐶 (𝑎2 +1)
(a) (𝑎2 (b) (𝑎2 + 1)
(d) 𝑡𝑎𝑛 𝐶 − 𝑡𝑎𝑛𝐴 − 𝑡𝑎𝑛𝐵 −1)
(𝑎2 +1) (𝑎2 −1)
Q70. Find the value of (c) (d) (𝑎2
2𝑎 +1)
𝑠𝑖𝑛 20°. 𝑠𝑖𝑛 100°. 𝑠𝑖𝑛 140°. 𝑠𝑖𝑛 60° 𝑠𝑖𝑛4 𝜃 𝑐𝑜𝑠4 𝜃 1
(a) 1/8 (b) 3/16 Q79. If 𝑎
+ 𝑏
= 𝑎+𝑏
(c) 3/32 (d) 1/32 𝑠𝑖𝑛8 𝜃 𝑐𝑜𝑠 8 𝜃
so what will be the value of ( + )
𝑎3 𝑏3
Q71. Find the value of 𝑠𝑖𝑛 12°. 𝑠𝑖𝑛 48°. 𝑠𝑖𝑛 54° 1 1
(a) 1/4 (b) 1/8 (a) (b) (𝑎+𝑏)2
(𝑎+𝑏)
(c) 1/16 (d) 3/8 1
(c) (𝑎+𝑏)3 (d) (𝑎 + 𝑏)3
Q72. Find the value of
Q80. If 3 𝑐𝑜𝑠𝑒𝑐 𝜃 + 4 𝑐𝑜𝑡 𝜃 + 5 = 0 and
𝑡𝑎𝑛 20°. 𝑡𝑎𝑛 80°. 𝑡𝑎𝑛 60°. 𝑐𝑜𝑡 50°
7 𝑐𝑜𝑠𝑒𝑐 𝜃 + 5 𝑐𝑜𝑡 𝜃 + 2 = 0
(a) √3 (b) 3 so find the value of (𝑐𝑜𝑠𝑒𝑐 𝜃 + 𝑐𝑜𝑡 𝜃)
1
(c) 1 (d) (a) 1 (b) 0
√3
Q73. If 𝑐𝑜𝑠𝑒𝑐 𝜃 = 1
𝑃 + 4𝑃 so what will be the value of (c) -1 (d) 4
𝑐𝑜𝑠𝑒𝑐 𝜃 + 𝑐𝑜𝑡 𝜃 Q81. If 𝑎 𝑠𝑒𝑐 𝜃 + 𝑏 𝑡𝑎𝑛 𝜃 + 𝑐 = 0
(a) P (b) 2P & 1/2P and 𝑥 𝑠𝑒𝑐 𝜃 + 𝑦 𝑡𝑎𝑛 𝜃 + 𝑧 = 0
(c) 3P (d) 4P so find the value of (𝑏𝑧 − 𝑦𝑐)2 − (𝑥𝑐 − 𝑎𝑧)2 .
Q74. If 𝑎 𝑠𝑖𝑛 𝐴 + 𝑏 𝑐𝑜𝑠 𝐴 = 𝐶 so what will be the (a) (𝑎𝑦 + 𝑏𝑥)2 (b) (𝑎𝑦 − 𝑏𝑥)2
value of 𝑎 𝑐𝑜𝑠 𝐴 − 𝑏 𝑠𝑖𝑛 𝐴 (c) (𝑎𝑥 − 𝑏𝑦)2 (d) (𝑎𝑥 + 𝑏𝑦)2
SSC CHSL 2020 Q82. If 𝑠𝑖𝑛 𝜃 + 𝑠𝑖𝑛2 𝜃 = 1
(a) √𝑎2 − 𝑏2 − 𝑐 2 (b) √𝑎2 + 𝑏2 − 𝑐 2 so what will be the value of 𝑐𝑜𝑠 2 𝜃 + 𝑐𝑜𝑠 4 𝜃
(c) √𝑎2 + 𝑏2 + 𝑐 2 (d) √𝑎2 − 𝑏2 + 𝑐 2 (a) 0 (b) 1
Q75. If 11 𝑐𝑜𝑠𝑒𝑐 𝜃 − 2√10 𝑐𝑜𝑡 𝜃 = 9 𝑠𝑒𝑐 𝜃 so (c) -1 (d) 4
Q83. If 𝑠𝑖𝑛 𝜃 + 𝑠𝑖𝑛2 𝜃 = 1 so what will be the value
what will be the value of (11 𝑐𝑜𝑡 𝜃 − 2√10 𝑐𝑜𝑠𝑒𝑐 𝜃
of (𝑐𝑜𝑠12 𝜃 + 3𝑐𝑜𝑠10 𝜃 + 3𝑐𝑜𝑠 8 𝜃 + 𝑐𝑜𝑠 6 𝜃)
(a) 9 (b) 9 𝑠𝑒𝑐 𝜃 (a) 0 (b) 1
(c) 9 𝑡𝑎𝑛 𝜃 (d) 9 𝑐𝑜𝑡 𝜃 (c) 2 (d) -1
Q76. If 37 𝑠𝑒𝑐 𝜃 − 35 𝑡𝑎𝑛 𝜃 = 12 so find the value Q84. If 𝑠𝑖𝑛 𝜃 + 𝑐𝑜𝑠𝑒𝑐𝜃 = 2 so what will be the value
of (37 𝑡𝑎𝑛 𝜃 − 35 𝑠𝑒𝑐 𝜃) of 𝑠𝑖𝑛3 + 𝑐𝑜𝑠𝑒𝑐 3 𝜃
(a) 0 (b) 24
(a) 2 (b) 23
(c) √61 (d) 36
(c) -2 (d) CNF
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Q85. If 𝑡𝑎𝑛 𝜃 + 𝑐𝑜𝑡 𝜃 = 2 then what can be the value (c) 4(𝑐𝑜𝑠 6 𝐴 + 𝑠𝑖𝑛6 𝐴) (d) 4(𝑐𝑜𝑠 6 𝐴 − 𝑠𝑖𝑛6 𝐴)
of 𝑡𝑎𝑛𝑛 𝜃 + 𝑐𝑜𝑡 𝑛 𝜃 . (𝜃° < 𝜃 < 90°) and n is an 1 1 1 1
integer. Q94. If 𝑐𝑜𝑠 𝜃 = 2 (𝑥 + 𝑥), then 2 (𝑥 2 + 𝑥2) is.
यदि 𝑡𝑎𝑛 𝜃 + 𝑐𝑜𝑡 𝜃 = 2 है तो 𝑡𝑎𝑛𝑛 𝜃 + 𝑐𝑜𝑡 𝑛 𝜃 का मान (a) 𝑠𝑖𝑛2𝜃 (b) 𝑐𝑜𝑠2𝜃
क्या हो सकता है। (𝜃° < 𝜃 < 90°) व n एक पणू ाांक है। (c) 𝑠𝑒𝑐 2𝜃 (d) 𝑡𝑎𝑛 2𝜃
𝑠𝑒𝑐 8𝐴−1
(a) 2𝑛 (b) 2𝑛+1 Q95.
𝑠𝑒𝑐 4𝐴−1
=?
𝑡𝑎𝑛 2𝐴 𝑡𝑎𝑛 8𝐴
(c) 2𝑛−1 (d) 2 (a) (b)
𝑡𝑎𝑛 8𝐴 𝑡𝑎𝑛 2𝐴
Q86. what will be the value of 𝑐𝑜𝑡 8𝐴 𝑐𝑜𝑡 2𝐴
𝑠𝑖𝑛 1°. 𝑠𝑖𝑛 2°. 𝑠𝑖𝑛 3° … … … 𝑠𝑖𝑛 180°
(c) (d)
𝑐𝑜𝑡 2𝐴 𝑐𝑜𝑡 8𝐴
2𝑠𝑖𝑛𝑥 𝑐
(a) 0 (b) 1 Q96. If 𝑎 = 1+𝑠𝑖𝑛𝑥+𝑐𝑜𝑠𝑥 , 𝑏 = 1+𝑠𝑖𝑛𝑥, If a = b ,
(c) -1 (d) 2 find c.
Q87. what will be the value of (a) 1 + 𝑠𝑖𝑛𝑥 − 𝑐𝑜𝑠𝑥 (b) 1 − 𝑠𝑖𝑛𝑥. 𝑐𝑜𝑠𝑥
𝑐𝑜𝑠 1°. 𝑐𝑜𝑠 2°. 𝑐𝑜𝑠 3° … … … 𝑐𝑜𝑠 115° (c) 1 + 𝑠𝑖𝑛𝑥. 𝑐𝑜𝑠𝑥 (d) 1 + 𝑐𝑜𝑠𝑥 − 𝑠𝑖𝑛𝑥
(a) 0 (b) 1
Q97. Find 𝑐𝑜𝑠𝜃. 𝑐𝑜𝑠2𝜃. 𝑐𝑜𝑠4𝜃. 𝑐𝑜𝑠8𝜃 … … . 𝑐𝑜𝑠2𝑛 𝜃.
(c) 2 (d) -1
𝑠𝑖𝑛2𝑛+1 𝜃 𝑠𝑖𝑛2𝑛+1 𝜃
Q88. what will be the value of (𝑠𝑖𝑛 10° + 𝑠𝑖𝑛 20° + (a) (b)
2𝑛+1 𝑠𝑖𝑛𝜃 2𝑛 𝑠𝑖𝑛𝜃
𝑠𝑖𝑛 30° + … … … + 𝑠𝑖𝑛 360° 𝑠𝑖𝑛2𝑛 𝜃
(a) 0 (b) 1 (c) 𝑛 (d) None
2 𝑠𝑖𝑛𝜃
(c) -1 (d) CNF Q98. If
Q89. 𝑐𝑜𝑠 10° + 𝑐𝑜𝑠 20° + 𝑐𝑜𝑠 30° + … … … + 𝑁 = [(32 𝑐𝑜𝑠 6 𝑥 − 48 𝑐𝑜𝑠 4 𝑥 + 18 𝑐𝑜𝑠 2 𝑥 − 1)]
𝑐𝑜𝑠 360° =? 𝐷 = 4𝑠𝑖𝑛 𝑥 𝑐𝑜𝑠 𝑥 𝑠𝑖𝑛(60 −
(a) 0 (b) 1 𝑥) 𝑐𝑜𝑠(60𝑥) 𝑠𝑖𝑛(60 + 𝑥)𝑐𝑜𝑠(60 + 𝑥)
Find N/D
(c) -1 (d) CNF
𝑡𝑎𝑛 320°−𝑡𝑎𝑛 310°
(a) 4 tan 6x (b) 4 cot 6x
Q90. 𝐼𝑓 𝑡𝑎𝑛 40° = 𝛼, 𝑡ℎ𝑒𝑛 𝑓𝑖𝑛𝑑 1+𝑡𝑎𝑛 320°𝑡𝑎𝑛 310° (c) 8 cot 6x (d) 8 tan 6x
1+𝛼 2 1−𝛼2 4𝑠𝑖𝑛3 10
(a) (b) Q99. 𝑠𝑖𝑛 10° − 3 ?
2𝛼 2𝛼
1+𝛼2 1−𝛼2 (a) ½ (b) 1/3 (c) 1/5 (d) 1/6
(c) (d) 4
𝛼 2𝛼
Q91. If 𝑠𝑒𝑐𝜃 + 𝑡𝑎𝑛𝜃 = 𝑘, Q100. 3 (𝑐𝑜𝑠 3 20°) − 𝑐𝑜𝑠 20° ?
(𝑘−1)2 −2
(a) ½ (b) 1/3 (c) 1/5 (d) 1/6
0° < 𝜃 < 90°, 𝑡ℎ𝑒𝑛 𝑖𝑠 𝑒𝑞𝑢𝑎𝑙 𝑡𝑜: Q101. The value of
(𝑘+1)2 −2𝑘
(a) 𝑠𝑖𝑛𝜃 − 𝑐𝑜𝑠𝜃 (b) 𝑐𝑜𝑠𝜃 + 𝑠𝑖𝑛𝜃 (𝑐𝑜𝑠 9°+𝑠𝑖𝑛 81°)(𝑠𝑒𝑐 9°+𝑐𝑜𝑠𝑒𝑐 81°)
𝑖𝑠:
(c) 𝑠𝑒𝑐𝜃𝑐𝑜𝑠𝑒𝑐𝜃 (d) 𝑐𝑜𝑠𝜃𝑠𝑖𝑛𝜃 𝑐𝑜𝑠𝑒𝑐 2 71°+𝑐𝑜𝑠 2 15°−𝑡𝑎𝑛2 19°+𝑐𝑜𝑠 2 75°
Q92. Simplify the following expression (a) 1 (b) 4 (c) -3 (d) 2
𝑐𝑜𝑠𝐴 𝑠𝑖𝑛𝐴 Q102. The value of
+ 1−𝑐𝑜𝑡𝐴 − 𝑠𝑖𝑛𝐴 3(𝑐𝑜𝑠𝑒𝑐 2 26°−𝑡𝑎𝑛2 64°)+(𝑐𝑜𝑡 2 42°−𝑠𝑒𝑐 2 48°)
1−𝑡𝑎𝑛𝐴
(a) 1 + 𝑐𝑜𝑠𝐴 (b) (1 + 𝑠𝑖𝑛𝐴) 𝑐𝑜𝑠𝐴 𝑖𝑠
𝑐𝑜𝑡(22°−𝜃)−𝑐𝑜𝑠𝑒𝑐 2 (62°+𝜃)−𝑡𝑎𝑛(𝜃+68°)+𝑡𝑎𝑛2 (28°−𝜃)
(c) 1 + 𝑠𝑖𝑛𝐴 (d) 𝑐𝑜𝑠𝐴 (a) 3 (b) 4 (c) -1 (d) -2
Q93. 𝑠𝑖𝑛 (90° + 2𝐴)[4 − 𝑐𝑜𝑠 2 (90° − 2𝐴)] Q103. The value of
(a) 2(𝑐𝑜𝑠 3 𝐴 − 𝑠𝑖𝑛3 𝐴) (b) 2(𝑐𝑜𝑠 3 𝐴 + 𝑠𝑖𝑛3 𝐴) 4 𝑡𝑎𝑛2 30+𝑠𝑖𝑛2 30°𝑐𝑜𝑠 2 45°+𝑠𝑒𝑐 2 48°−𝑐𝑜𝑡 2 42°
𝑖𝑠
𝑐𝑜𝑠37° 𝑠𝑖𝑛53°+𝑠𝑖𝑛37°𝑐𝑜𝑠53°+𝑡𝑎𝑛 18° 𝑡𝑎𝑛 72°
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(a) 35/48 (b) 59/48 SSC CGL 2022
(c) 49/24 (d) 35/24 (a) 0 (b) 2 (c) -1 (d) 1
Q104.
𝑐𝑜𝑠𝑒𝑐(78°+𝜃)−𝑠𝑒𝑐(12°−𝜃)−𝑡𝑎𝑛(67°+𝜃)+𝑐𝑜𝑡(23°−𝜃)
𝑡𝑎𝑛 13°𝑡𝑎𝑛37°𝑡𝑎𝑛45°𝑡𝑎𝑛53°𝑡𝑎𝑛77°

Answer Key
1. (a) 2. (a) 3. (d) 4. (c) 5. (b) 6. (c) 7. (d) 8. (d) 9. (b) 10. (c)
11. (b) 12. (c) 13. (d) 14. (c) 15. (c) 16. (c) 17. (a) 18. (b) 19. (d) 20. (c)
21. (a) 22. (b) 23. (a) 24. (d) 25. (b) 26. (a) 27. (d) 28. (b) 29. (a) 30. (a)
31. (d) 32. (a) 33. (d) 34. (b) 35. (b) 36. (b) 37. (b) 38. (c) 39. (b) 40. (b)
41. (d) 42. (b) 43. (b) 44. (a) 45. (c) 46. (b) 47. (d) 48. (a) 49. (c) 50. (c)
51. (b) 52. (a) 53. (a) 54. (c) 55. (a) 56. (a) 57. (c) 58. (b) 59. (b) 60. (d)
61. (b) 62. (a) 63. (c) 64. (c) 65. (b) 66. (c) 67. (a) 68. (a) 69. (d) 70. (c)
71. (b) 72. (b) 73. (b) 74. (b) 75. (c) 76. (a) 77. (d) 78. (c) 79. (c) 80. (c)
81. (a) 82. (b) 83. (b) 84. (a) 85. (b) 86. (a) 87. (a) 88. (a) 89. (a) 90. (b)
91. (a) 92. (b) 93. (d) 94. (b) 95. (b) 96. (a) 97. (a) 98. (c) 99. (d) 100. (d)
101. (d) 102. (d) 103. (b) 104. (a)

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