Mathematics Questions for CDS & CAPF: 8th 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 toy factory manufactured a batch of electronic toys. If the toys were packed in boxes of 115 each, 13 boxes would not be filled completely. If the toys were packed in boxes of 65 each, 22 such boxes would not be enough to pack all of them. Coincidentally, in the end, the toys were packed in n boxes containing n toys each, without any remainder. The total number of toys was
(a) 1424
(b) 1434
(c) 1444
(d) 1454

Q2. A and B started a business with Rs. 20000 and Rs. 35000 respectively. They agreed to share the profit in the ratio of their capital. C joins the partnership after 1 year with the condition that A, B and C will share profit equally and pays Rs. 220000 as premium for this, to be shared between A and B. This is to be divided between A and B in the ratio of                              
(a) 10 : 1
(b) 1 : 10
(c) 9 : 10
(d) 10 : 9

Q3. In a factory, there are equal number of women and children. Women work for 6 hrs a days and children for 4 hrs a day. During festival time, the work load goes up by 50%. The government rule does not allow children to work for more than 6 hrs a day. If they are equally efficient and the extra work is done by women, then extra hours of work put in by women every day are                  
(a) 5
(b) 3
(c) 4
(d) 9

Q4. What is the maximum percentage discount (approximately) that a merchant can offer on his marked price so that he ends up selling at no profit or loss, if he initially marked his goods up by 40%?                               
(a) 60%
(b) No Discount
(c) 33.5%
(d) 28.5%

Q5. From a vessel containing 100 L of wine, 10 L are drawn out and an equal amount of water is added. From the mixture, 10 L is again drawn out and same quantity of water is added. What is the final ratio of wine to water?     
(a) 80 : 20
(b) 90 : 10
(c) 91 : 9
(d) 81 : 19

Q9. The area of a right angled triangle is 24 sq cm and one of the sides containing the right angle is 6 cm. The altitude on the hypotenuse is                 
(a) 3.6 cm
(b) 4.8 cm  
(c) 5.2 cm
(d) 12 cm 


S1. Ans.(c); 
Sol. A.T.Q.—
Total no. of toys is a perfect square no. because the toys were packed in n boxes containing n toys each without any remainder, so, 1444 is a perfect square of 38. 

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