# Mathematics Questions for CDS & CAPF: 22nd November

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. There are 50 boxes and 50 persons. Person 1 keeps 1 marble in every box. Person 2 keeps 2 marbles in every 2nd box and person 3 keeps 3 marbles in every third box. This process goes on till person 50 keeps 50 marbles in the 50th box. Find the total no. of marbles kept in the 50th box.**

(a) 43

(b) 78

(c) 6

(d) 93

**Q2. A number is divided into two parts in such a way that 80% of 1st part is 3 more than 60% of 2nd part and 80% of 2nd part is 6 more than 90% of the 1st part. Then the number is-**

(a) 125

(b) 130

(c) 135

(d) 145

**Q3. A train travels 6 km in the first quarter of an hour, 8 km in the second quarter and 40km in third quarter. Find the average speed of the train per hour over the entire journey.**

(a) 72 km/h

(b) 18 km/h

(c) 77.33 km/h

(d) 78.5 km/h

**Q4. 2 men and 4 boys can do a piece of work in 10 days, while 4 men and 5 boys can do it in 6 days. Men and boys are paid wages according to their output. If the daily wage of a man is Rs 40, then the ratio of daily wages of a man and a boy will be -**

(a) 5 : 3

(b) 5 : 2

(c) 4 : 7

(d) 7 : 3

**Q5. The cost of an apple is twice that of a banana and the cost of a banana is 25% less than that of an orange. If the cost of each type of fruit increases by 10%, then the percentage increase in the cost of 4 bananas, 2 apples and 3 orange is-**

(a) 10%

(b) 12%

(c) 16%

(d) 18%

**Q6. In the adjoining figure AB, EF and CD are parallel lines. Given that EG = 5 cm, GC = 10 cm and DC = 18 cm, then EF is equal to :**

(a) 11 cm

(b) 5 cm

(c) 6 cm

(d) 9 cm

**Q7. The diagonal of a rhombus are 32 cm and 24 respectively. The perimeter of the rhombus is :**

(a) 80 cm

(b) 72 cm

(c) 68 cm

(d) 64 cm

**SOLUTIONS**

**S1. Ans.(d);**

Sol.

Total no. of marbles kept in 50th box = Sum of factor for 50 =1+2+5+10+25+50=93

**S2. Ans.(c);**

Sol.

Let the required no. be x

Its first part is a and second part is (x-a)

ATQ,

**S3. Ans.(a);**

Sol.

**S4. Ans.(b);**

Sol.

Req. ratio = 40 : 16 = 5 : 2

**S5. Ans.(a);**

**Sol.**

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