# Mathematics Questions for CDS & AFCAT: 29th January

Dear Students, Defence Adda is providing you all with this quiz on Mathematics questions for CDS, AFCAT, CAPF and other Defence Examinations. The questions asked in Mathematics Section of most of the defence examinations are based on the topics from Mathematics of Class 11th and 12th. The questions asked in this section are complex and comparatively difficult but once attempted with high accuracy, can fetch you full marks in this section. Also, practice on a daily basis helps one dive into the core concepts of a subject and thus, help her perform to the best of her ability in the real examinations. So, attempt the daily quizzes being provided by Defence Adda and score to the maximum in the Mathematics Section of all sorts of defence examinations.

**Q1.If the radius of a cylinder is decreased by 50% and the height is increased by 50% to form a new cylinder, the volume will be decreased by**

(a) 0%

(b) 25%

(c) 62.5%

(d) 75%

**Q2. Which of the following statements is true in respect of the expression sin 31° + sin 32°?**

(a) Its value is 0

(b) Its value is 1

(c) Its value is less than 1

(d) Its value is greater than 1

**Q4. The minimum and maximum value of (1 + cos 2x) are:**

(a) -1 and 1

(b) 1 and 2

(c) 2 and -2

(d) 0 and 2

**Q6. A diligent man was engaged on a job for 40 days on the condition that he will get a wage of Rs. 180 for the day he works, but he will have to pay a fine of Rs. 20 for each day of his absence. If he gets Rs. 5200 at the end of the 40 days, then, he was absent for how many days?**

(a) 12 days

(b) 10 days

(c) 6 days

(d) 8 days

**Q7. How many kg of pure salt must be added to 40 kg of 4% solution of salt and water to increase it to 12% solution of mixture ?**

(a) 2.04 kg

(b) 2.64 kg

(c) 3.14 kg

(d) 3.64 kg

**Q8. The average of the essay-I test scores of a class of 'x' students is 80 and that of 'y' student is 94. When the scores of both the classes are combined, the average becomes 86. What is the ratio of x to y?**

(a) 6 : 5

(b) 5 : 4

(c) 4 : 3

(d) 7 : 6

**Q9. The ages of Angaad, Bankie and Cherry together are 57 years. Bankie is thrice as old as Angaad and Cherry is 12 years older than Angaad. Then, the respective age of Angaad, Bankie and Cherry is:**

(a) 8, 26, 23 (years)

(b) 9, 27, 21 (years)

(c) 8, 25, 24 (years)

(d) 9, 26, 22 (years)

**Q10. If 35% of a number is subtracted from the second number the second number reduces to its four–fifths. What is the ratio the first number to the second number?**

(a) 4 : 7

(b) 4 : 9

(c) 5 : 9

(d) 5 : 7

**SOLUTIONS**

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