 Mathematics Questions for CDS & CAPF: 15th 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.

Q1. Prashant buys 2 gross (i.e. 24 dozens) of bananas at Rs. 20 a dozen. During Transport and storage four dozen get spoilt. If Prashant spends 25% of cost price on transport and sell the remaining bananas at 2.5 Rs/per banana find his profit or loss percent.
(a) 20%
(b) 25%
(c) 16%
(d) No profit, No Loss

Q2. In a vessel milk and water are mixed in the ratio 3 : 4 and in another vessel they are mixed in the ratio 5 : 2. In what ratio should the contents of the two vessels be mixed together so that the new mixture contains milk and water is the ratio 1 : 1?
(a) 2 : 1
(b) 2 : 3
(c) 3 : 1
(d) 3 : 2 Q4. A producer buys two types of raw material in Rs. 3750.  He sells first type at a loss of 8% and second type at a profit of 22%. What is the SP of first Type material if in the whole Transaction there is No profit no loss.
(a) 2024
(b) 2530
(c) 2250
(d) 2750

Q5. Value of ‘a’ for which the sum of square of the roots of the equation x² – (a – 2) x – a – 1 = 0 assume the least value?
(a) 1
(b) 3
(c) 0
(d) 2     SOLUTIONS

S1. Ans.(d)
Sol.
2 gross = 24 dozens = 288
CP of banana = 20 × 24 = 480
Transportation cost =(480×25)/100
Total CP = 480 + 120 = 600
Selling price = 2.5 Rs/per banana
A dozen SP = 2.5 × 12 = 30
Total SP = 30 × (24 – 4) = 600
Profit & loss = 600 – 600 = 0
No profit no loss         