Mathematics Questions for CDS & CAPF: 26th 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.

1. A certain number when divided by 899 leaves the remainder 65. When the same number is divided by 31, the remainder is:     
(a) 2
(b) 3
(c) 4
(d) 1

2. The average weight of 8 person is increased by 2.5 kg when one of them whose weight is 56 kg is replaced by a new man. The weight of the new man is:  
(a) 58.5 kg
(b) 76 kg
(c) 20 kg
(d) 64 kg

3. Last year my age was a perfect square number .next year it will be a cubic number. What is my present age?  
(a) 26 years
(b) 24 years
(c) 25 years
(d) 27 years

4. 4 men can complete a piece of work in 2 days. 4 women can complete the same piece of work in 4 days whereas 5 children can complete the same piece of work in 4 days. If 2 men, 4 women and 10children work together, in how many days can the work be completed?  
(a) 1 day
(b) 3 days
(c) 2 days
(d) 4 days

5. A 280 meter long train moving with an average speed of 108 km/h crosses a platform in 12 seconds. A man crosses the same platform in 10 seconds. What is the speed of the man?  
(a)  5 m/s
(b) 8 m/s
(c) 12 m/s
(d) cannot be determined

8. Two spherical iron shots each of diameter 6 cm are immersed in the water contained in a cylindrical vessel of radius 6 cm. The level of the water in the vessel will be raised by   
(a) 1 cm
(b) 2 cm
(c) 3 cm
(d) 6 cm 


Sol 1. Ans.(b)                                      
∵ 899 is divided by 31 and leaves 0. 
∴ required remainder = remainder by 65/31 = 3

Sol 2. Ans. (b):                                     
The weight of new man = weight of ex person +2.5×8 = 56 + 20 = 76 kg

Sol 3. Ans. (a):                                    
Last year my age was a perfect square number = 25
Next year it will be a cubic number = 27
∴my present age = 26 years

Sol 4. Ans.(a) :                                     
        2 men can do a piece of work in 4 days
4 women can do same piece of work in 4 days
5 children can do same piece of work  in  4 days
So, we can say that 
2m = 4w =5c 
So , 2men and 4 women and 10 children complete the work
Efficiency of children and women convert in man = (2m + 2m +4m) = 8m
4 men complete the work is = 2 days
8 men complete the work is = 1 days

Sol 5. Ans.(b):                                          
       Speed of train = 108km/hr=108*5/18 m/sec = 30m/s
If the length of the platform be x meters, then
∴speed of man=80/10 = 8m/s

10. Ans. (d) :                                          
         Average amount of interest paid by the Company during the given period:
= Rs. ( 23.4 + 32.5 + 41.5 + 36.4 + 49 .4)/ 5
= Rs. 36.66 lakhs.

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