Subject Mathematics
2226. In the figure, what is the value of a?
Layer 1 3c 0 6c 6c 2b q b a m n 0 0 0 0 0 ?
(a) 30
(b) 45
(c) 72
(d) 60
Ans. c
2227. Find the probability of selecting prime number from a set of number 1 to 15 (both inclusive).
(a) 1 5
(b) 3 5
(c) 2 5
(d) 7 15
Ans. b
2228. In the figure, circle P has diameter 2 and Q has diameter 1. What is the area of the shaded region?
Layer 1 P Circle Q
(a) 3π 4
(b) 3π
(c) 7π 2
(d) 6π
Ans. a
2229. If 4% of (P + Q) is 8 and P is a positive integer, what is the greatest possible value of Q?
(a) 196
(b) 197
(c) 198
(d) 199
Ans. d
2230. In a certain recipe 2 1 4 cups of flour are called for to make cake that serves 6. If Mrs. Jesmin wants to use the same recipe to make a cake for 8, how many cups of flour must she use?
(a) 2 1 3 cups
(b) 2 3 4 cups
(c) 3 cups
(d) 4 cups
Ans. c
2231. A man walks down the road for half an hour at an average speed of miles per hour. He waits 10 minutes for a bus, which brings him back to his starting point at 3:15. If the man began his walk at 2:25 the same afternoon, what was the average speed of the bus?
(a) 3 mph
(b) 4.5 mph
(c) 6 mph
(d) 9 mph
Ans. d
2232. The ratio of the area of a circle to the radius of the circle is -
(a) π
(b) 2π
(c) π ²
(d) Cannot be determined
Ans. d
2233. If 4m = 9n, what is the value of 7 m. in terms of n?
(a) 63n 4
(b) 9n 28
(c) 7n 9
(d) 28n 9
Ans. a
2234. If the average of five consecutive even number is 8, which of the following is the smallest of the five numbers?
(a) 4
(b) 5
(c) 6
(d) 8
Ans. a
2235. Which of the followings cannot be a value of 1 x - 1 ?
(a) -1
(b) 0
(c) 2 3
(d) 1
Ans. b
2236. The savings of an employee equals income minus expenditure. If their incomes is 1 : 2 : 3 and their expenses ration 3: 2 : 1, then what is the order of the employees A, B, and C in the increasing order of the size of the savings?
(a) A > B > C
(b) A > C > B
(c) B > A > C
(d) C > B > A
Ans. c
2237. What is the area of the equilateral triangle if the base BC = 6?
Layer 1 A C D B
(a) 9√3
(b) 18√3
(c) 26√3
(d) 30√3
Ans. a
2238. If two non-zero positive integers p and q are such that p = 4q and p < 8, then q = ?
(a) 2
(b) 1
(c) 3
(d) 4
Ans. b
Such the following Table carefully and answer the given question. Number of students of different classes of school playing different games.
<!-- Created with SVG-edit - http://svg-edit.googlecode.com/ --> <title>Layer 1</title> Class Games Chess Cricket Basketball Table Tennis Football Carrom Tennis Badminton XII 38 XI X IX VIII VII VI 11 11 9 40 16 8 47 12 40 9 9 27 15 9 39 5 12 7 21 18 8 11 33 4 17 6 19 19 5 21 19 2 25 0 11 12 12 6 19 2 18 0 9 16 16 0 0 1 20 0 0 14 14 0 0
2239. Approximately what percent of Class VIII students play Cricket out of the total students playing Cricket?
(a) 13
(b) 4
(c) 15
(d) 17
Ans. c
2240. A shopkeeper combined X liters of a solution containing 10% of certain material Q, with 10 liters of another solution that contained 2% of that material Q, to produce Z liters of a solution that had 5% of Q. what is the value of X?
(a) 5 liters
(b) 6 liters
(c) 7 liters
(d) 8 liters
(e) None of these
Ans. b
2241. In a class, 120 students are finance major and 100 students are marketing major. 25% of the finance students and 20% of the marketing students are male. 20% of the male finance students and 25% of the male marketing students passed the final exam. What percentage of male students passed the exam?
(a) 5%
(b) 10%
(c) 16%
(d) 22%
(e) None of these
Ans. d
2242. Fahim and Rished both started at the same time from Point A to Point B at speeds of 52 kmph and 39 kmph respectively on the same road. As soon as Fahim reaches Point B, he turns back, starts toward Point A on the same road, and meets Rishad on the way. How far Point B do the two of them meet, if the distance between the points is 70 km?
(a) 20 km
(b) 30 km
(c) 10 km
(d) 25 km
(e) None of these
Ans. c
2243. If the average of z and x is 35, and the average of x and y is 25, then z – y = ?
(a) 5
(b) 10
(c) 20
(d) 30
(e) None of these
Ans. c
2244. If 33² - 17² = 25x, what is the value of x?
(a) 14² 25
(b) 20
(c) 16² 25
(d) 32
(e) None of these
Ans. d
2245. Which one of the following is the minimum value of the sum of two integers whose product is 36?
(a) 37
(b) 20
(c) 15
(d) 12
(e) None of these
Ans. d
2246. If the sum of three consecutive integers is less than 75, what is the greatest possible value of the smallest one?
(a) 22
(b) 23
(c) 24
(d) 35
(e) None of these
Ans. b
2247. A 12 gallon tub has a faucet that lets water in at a rate of 3 gallons per minute, and has a drain that lets water out at a rate of 1.5 gallons per minute. If you start with 3 gallons of water in the tub, how long will it take to fill the tub completely?
(a) 6 minutes
(b) 7 minutes
(c) 8 minutes
(d) 9 minutes
(e) None of these
Ans. a
2248. A man rowed 3 miles upstream in 90 minute. If the river flowed with a current of 2 miles per hour, how long did the man’s return trip take?
(a) 30 minutes
(b) 60 minutes
(c) 90 minutes
(d) 120 minutes
(e) None of these
Ans. a
2249. Two trains are running on parallel lines direction at a speed of 50km/hr and 30 km/hr respectively. The faster train crosses a man sitting in the slower in 18 seconds. What is the length of the faster train?
(a) 170 m
(b) 150 m
(c) 100 m
(d) 64 m
(e) None of these
Ans. e
2250. If 4y – x = 5, what is the smallest integer value of x for which y > 100?
(a) 130
(b) 131
(c) 132
(d) 395
(e) None of these
Ans. c