# Mathematics Questions for CDS & AFCAT: 19th 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. A right pyramid stand on a rectangular base 32 cm long and 10 cm in width. If the height of the pyramid is 12 cm. Find its whole surface area.**

(a) 933 cm sq

(b) 936 cm sq

(c) 934 cm sq

(d) 935 cm sq

**Q3. The bus fare between two cities is increased in the ratio 11:18. What would be the increase in the fare, if the original fare is Rs 550?**

(a) Rs 350

(b) Rs 900

(c) Rs 180

(d) Rs 360

**Q4.Two students appeared for an examination. One of them secured 20 marks more than the other and his marks were 55% of the sum of their marks. The marks obtained by them are**

(a) 92 and 72

(b) 83 and 63

(c) 110 and 90

(d) 64 and 44

**Q5. If the square of sum of three positive consecutive natural numbers exceeds the sum of their squares by 292, then what is the largest of the three numbers?**

(a) 5

(b) 6

(c) 7

(d) 8

**Q7. A cloths merchant allows 25% discount on the marked price of an article and he suffered a loss of 15%. What will be the profit percent if the article is sold at marked price?**

(a) 11.76

(b) 12.12

(c) 13.33

(d) 14.28

**Q8. Three boxes of granary of capacity 24 kg, 36 kg and 84 kg are completely filled with three varieties of granary wheat flour ,Corn flour and rice flour respectively. All the three boxes were emptied and the three types of granary were thoroughly mixed and the mixture was put back in the three boxes. How many kg of wheat flour would be there in the third box (in kg)?**

(a) 10

(b) 12

(c) 14

(d) 16

**Q9. A group of boys in the picnic has an average weight of 36 kg. One boy weighing 42 kg leaves the group and another boy weighing 30 kg joins the group. If the average now becomes 35.7 kg, then how many boys are there in the group?**

(a) 30

(b) 32

(c) 40

(d) 56

**Q10. A bank offers 15% compound interest per half year. A customer deposits Rs 2400 each on 1st January and 1st July of a year. At the end of the year, the amount he would have gained by way of interest is**

(a) Rs 2268

(b) Rs 1134

(c) Rs 567

(d) Rs 283

**SOLUTIONS**

S5. Ans.(d)

Sol.

Let three consecutive natural numbers be (x – 1), x, (x +1)

So,

[(x – 1) + x + (x + 1)]² = 292 + (x – 1)² + x² + (x + 1)²

9x² = 292 + x² + 1 – 2x + x² + x² + 1 + 2x

9x² = 292 + 3x² + 2

6x² = 294

x² = 49

x = ± 7

so, x =7 since x is +ve natural no.

largest number is x + 1 = 8

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