Mathematics Questions for CDS & CAPF: 17th 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. The ratio of the number of boys to girls in a school is 2 : 3. If 25% of the boys and 30% of the girls are scholarship holders, then what percentage of total students do not have scholarship?
(a) 72%
(b) 36%
(c) 54%
(d) 60%

Q2. If A (6,4), B (5,–2) and C (7,-2) are vertices of a triangle, then the triangle is?
(a) Right-angled
(b) Isosceles
(c) Equilateral
(d) Obtuse angled

Q3.   2∛40-4∛320+3∛625-3∛5 is equal to
(a) 2∛340
(b) 0
(c) ∛340
(d) ∛660

Q4. Nine friends went to a hotel for their meal. Eight of them spent Rs. 15 each and the ninth friend spent Rs. 16 more than the average of all nine. Find the total expenses of their meal?
(a) 143
(b) 228
(c) 153
(d) 513

Q5. Average age of 6 sons of a family is 8 years. Average age of sons together with their parents is 22 years. If the father is older than the mother by 8 years, then the age of mother (in years) is :
(a) 44
(b) 52
(c) 60
(d) 68

Q6. The H.C.F and the product of two numbers are 15 and 6300 respectively. The number of possible pairs of numbers is:
(a) 2
(b) 3
(c) 4
(d) 7

Q7. A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs 3200. With the help of C they completed the work in 3 days. How much is to be paid to C ?
(a) Rs 375
(b) Rs 400
(c) Rs 600
(d) Rs 800

Q8. A man covers a certain distance at a certain speed. Had he moved 4 km/hr faster, he would have taken 30 min less, but if he had moved 3 km/hr slower, he would have taken 30 min more. Find the distance (in km)?
(a) 76
(b) 96
(c) 66
(d) 84

Q9. In an examination, 60% of the candidates passed in English and 70% of the candidates passed in Mathematics, but 20% failed in both of these subjects. If 2500 candidates passed in both the subjects, the number of candidates who appeared for the examination was :
(a) 3000
(b) 3500
(c) 4000
(d) 5000

SOLUTIONS

S1. Ans.(a);
Sol.
Let the no. of boys and girls are 200 and 300 respectively
Scholarship holder :
Boys = 200×25/100=50
Girls =300×30/100=90
Total scholarship holders = 140
Non-scholarship holders = 500 – 140 = 360
Req. % = 360/500×100=72%