Mathematics Questions for AFCAT & CAPF: 15th February

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 wheat sold by a grocer contained 10% low quality wheat. What quantity of good quality wheat should be added to 150 kg of wheat so that the percentage of low quality wheat becomes 5%?
(a) 85 kg
(b) 50 kg
(c) 135 kg
(d) 150 kg

Q2. In a class of 50 students, 23 speak English, 15 speak Hindi and 18 speak Punjabi. 3 speak only English and Hindi, 6 speak only Hindi and Punjabi and 6 speak only English and Punjabi. If 9 can speak only English, then how many students speak all the three languages?
(a) 1
(b) 2
(c) 3
(d) 5

Q3. When the price of sugar was increased by 32%, a family reduced its consumption in such a way that the expenditure on sugar was only 10% more than before. If 30 kg per month were consumed before, find the new monthly consumption.
(a) 42 kg
(b) 35 kg
(c) 25 kg
(d) 16 kg

Q4. One bacterial splits into eight bacteria of the next generation. But due to environment, only 50% of one generation can produce the next generation. If the seventh-generation number is 4096 million, what is the number in first generation?
(a) 1 million
(b) 2 million
(c) 4 million
(d) 8 million

Q5. At the start of a seminar, the ratio of the number of male participants to the number of female participants was 3 : 1. During the tea break, 16 male participants left and 6 more female participants registered. The ratio of the male to the female participants became 2 : 1. The total number of participants at the start of the seminar was-
(a) 112
(b) 48
(c) 54
(d) 72

Q6. What is the reflection of the point (-2, 5) in the line x = -1?
(a) (-2, -7)
(b) (0, 5)
(c) (2, 5)
(d) (-2, 7)

Q7. Point P is the midpoint of segment AB. Co-ordinates of P are (3, 1) and B are (5, -4). What are the co-ordinates of point A?
(a) (-1, 7)
(b) (1, -7)
(c) (1, 6)
(d) (-1, -7)

SOLUTIONS