Day 167: CDS Maths

5 questions. Try each one first, then open its answer.

Question 1
Trigonometric Ratios and Identities. Asked once: CDS 1 2022 (same type asked 4 times) See all 4 of this type
56 $\tan\theta + \sec\theta = 3$
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Question 2
Averages. Asked once: CDS 2 2022 (same type asked 4 times) See all 4 of this type
67 $Mean marks of 50 students were found to be 78.4. But later it was detected that 95 was misread as 59 and 25 was misread as 52. What is the difference between correct mean and incorrect mean ?$
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Question 3
Quadratic Equations. Asked once: CDS 2 2018 (same type asked 4 times) See all 4 of this type
21 $2x^2 + 5x + 5$
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Question 4
Time, Speed and Distance. Asked once: CDS 2 2016 (same type asked 4 times) See all 4 of this type
18 $When the speed of a train is increased by 20%, it takes 20 minutes less to cover the same distance. What is the time taken to cover the same distance with the original speed ?$
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Question 5
Averages. Asked once: CDS 1 2017 (same type asked 4 times) See all 4 of this type
51 $The mean of 5 numbers is 15. If one more number is included, the mean of the 6 numbers becomes 17. What is the included number ?$
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Question 1