# Mathematics Questions for CDS & CAPF: 16th 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. A can do a piece of work in 35 days and B can do it in 28 days. If A after working for 10 days leaves the work and then B comes in and complete the remaining work. In how many days total work will be done.**

(a) 20 days

(b) 10 days

(c) 35 days

(d) 30 days

**Q2. Two trains of same length but different speeds pass a pole in 4 sec and 5 sec respectively. In what time will they cross each-other, if they are moving in same direction. Q64**

(a) 30 sec

(b) 40 sec

(c) 70 sec

(d) 10 sec

**Q3. A boat takes 50% more time to cover a certain distance upstream than that downstream. Find the speed of boat, if speed of water is 5 kmph.**

(a) 15 km/hr

(b) 25 km/hr

(c) 20 km/hr

(d) 10 km/hr

**Q4. Three sets of English, mathematics and science books containing 336, 240 and 96 books respectively have to be staked in such a way that all the books are stacked subject wise and height of each stack is same. Find the number of stacks.**

(a) 10

(b) 14

(c) 12

(d) 8

**Q5. Tea worth Rs. 126/kg and Rs. 135/kg are mixed with a 3rd variety in the ratio 1 : 1 : 2. If the mixture worth Rs. 153/kg. The price of 3rd variety per kg is**

(a) 165.5

(b) 192.5

(c) 179.5

(d) 175.5

**SOLUTIONS**

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

Sol.

HCF of 336, 240 & 96 is 48.

No. of stacks = 7+5+2=14 stacks

**S5. Ans.(d);**

Sol.

Ratio of mixture =1∶1∶2

Let price of third variety per kg be x

ATQ,

126×1+135×1+x×2=153×4

x=175.5

**S6. Ans. (c)**

Sol.

Required percentage:

[(3.00 + 2.52 + 3.84 + 3.68 + 3.96 ) / ( 288 + 342 + 324 + 336 + 420 )] x 100%

= (17/1710) x 100%

= 1 % ( Approx.)

**S7. Ans.(c)**

Sol.

(sin5° + cos85°)/ (sin5° – cos85°)

= (sin5° + sin5°)/(sin5° – sin5°) = 2sin5°/0 = Not defined

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