Mathematics Questions for CDS & AFCAT: 1st 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.

Q6. An Insurance employer reduces the number of his employees in the ratio 9 : 8 and increases their wages in the ratio 14 : 15. If the original wage bill was Rs. 18,900, find the ratio of decreased wage and original wage.
(a) 20 : 21
(b) 21 : 29
(c) 20 : 19
(d) 19 : 21

Q7. The respective ratio between the present ages of Roshan and Rakesh is 6: 11. Four years ago, the ratio of the ages was 1: 2 respectively. What will be Rakesh’s age after five years?
(a) 45 years
(b) 29 years
(c) 49 years
(d) Cannot be determined

Q9. A tank has a leak which would empty the completely filled cistern in 20 hours. If the tank is full of water and a tap is opened which admits 2 liters of water per minute in the tank, the leak now takes 30 hours to empty the tank. How many liters of water does the tank hold?
(a) 2400
(b) 4500
(c) 1200
(d) 7200

Q10. A started a business investing Rs. 250000 in year 2008. In year 2009 he invested an additional amount of Rs. 100000 and B joined him with an amount of Rs. 350000. In year 2010, A invested another additional amount of Rs. 100000 and C joined them with an amount of Rs. 350000. What will be B’s share in the profit of Rs. 1500000 earned at the end of three years from the start of the business in 2008?
(a) Rs. 700000
(b) Rs. 500000
(c) Rs. 450000
(d) Rs. 750000

SOLUTIONS