Mathematics Questions for CDS & AFCAT: 27th December

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. The sale price of an article including the sales tax is Rs. 616. The rate of sales tax is 10%. If the shopkeeper has made a profit of 12%, then the cost price of the article is-
(a) Rs. 500
(b) Rs. 515
(c) Rs. 550
(d) Rs. 600

Q2. If 7% of the sale price of an article is equivalent to 8% of its cost price and 9% of its sale price exceeds 10% of its cost price by Rs. 1, then what is the cost price of the article?
(a) Rs. 400
(b) Rs. 350
(c) Rs. 300
(d) Rs. 280

Q3. Two vessels contain spirit of 0.5 and 0.75 concentrations. If 2 l from the first vessel and 3 l from the second vessel are mixed, then what will be the ratio of the spirit and the water in the resultant solution?
(a) 15 : 17
(b) 7 : 17
(c) 13 : 7
(d) 17 : 15

Q6. A ladder, 25 m long is placed against a wall with its foot 7 m from the wall. How far should the foot be drawn out so that the top of the ladder may come down by the half the distance that the foot is drawn out?
(a) 6 m
(b) 7 m
(c) 4 m
(d) 8 m

SOLUTIONS