# Mathematics Questions for CDS & CAPF: 12th October

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 difference between corresponding roots of x² + ax + b = 0 & x² + bx + a = 0 is same & a ≠ b, then**

(a) a + b + 4 = 0

(b) a + b – 4 = 0

(c) a – b – 4 = 0

(d) a – b + 4 = 0

**Q2. If x & y are integers and 2^x 5^y = 0.00064, what is the value of xy?**

(a) –5

(b) 4

(c) 2

(d) –3

**Q3. a, b and c are distinct +ve integers. Find max value of a × b × c, if a + b + c = 31?**

(a) 1056

(b) 1080

(c) 1024

(d) 1200

**Q4. In an Election 10% of the voters on the voters’ list did not cast their votes and 60 voters cast their ballot papers blank. there were only two candidates. The winner was supported by 47% of all the votes in the list and he got 308 votes more than his rival the Number of voters on the list was.**

(a) 3600

(b) 6200

(c) 4575

(d) 6028

**Q5. The ratio of numbers of boys to the number of girls in a school of 432 pupils is 5 : 4. When some new boys & girls are admitted, the no. of boys increases by 12 and the ratio of the boys to girls changes to 7 : 6. Then number of new girls admitted is:**

(a) 25

(b) 14

(c) 24

(d) 20

**Q6.B was born when A was 4 yrs 7 months old and C was born when B was 3 yrs 4 months old. When C was 5 yrs 2 months old, then their average age was**

(a) 8 yrs 9 months

(b) 7 yrs 3 months

(c) 8 yrs 7 months

(d) 8 yrs 11 months

**Q7. The base of a triangular field is four times its height. If the cost of cultivating the field at Rs. 15.5 per hectare is Rs. 1116, find the base length (in meter) of the triangular field? (1 hectare = 10000 m^2 )**

(a) 600

(b) 1800

(c) 960

(d) 2400

**SOLUTIONS**

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