Subject Mathematics
1251. A school has a total enrollment of 90 students. There are 30 students taking Physics, 25 taking English , and 13 taking both. What percentage of the students are taking either Physics or English?
(a) 30%
(b) 36%
(c) 47%
(d) 51%
(e) 58%
Ans. c
1252. 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
(e) 200
Ans. d
1253. If ( x 2 - 4) ( 4 5 - 5)=0, then x =?
(a) -4
(b) -1
(c) -4 5
(d) 4 5
(e) 4
Ans. d
1254. The average of six consecutive integers in increasing order of size is 9 1 2 .What is the average of the last 3 integers?
(a) 8
(b) 9 1 2
(c) 10
(d) 11
(e) 19
Ans. d
1255. If n is a number such that (-8) 2n = 2 8 + 2n , than n =?
(a) 1 2 1/2
(b) 2
(c) 3 2
(d) 4
(e) 5
Ans. b
1256. What is the absolute value of twice the difference of the roots of the equation 5 y 2 -20y +15 =0?
(a) 0
(b) 1
(c) 2
(d) 3
(e) 4
Ans. c
1257. Layer 1 P Q R S
In the figures, PS = 5 cm, QS =6 cm and the area of ∆PQR is 40 cm2.What is the area of ∆QRS?
(a) 10
(b) 15
(c) 20
(d) 25
(e) 45
Ans. d
1258. Rina and Shila entered into a partnership with their capitals in the ratio 5:6.At the end of 8 months, Rina withdraws her capital. If they receive the profit in the ratio of 5 :9 find how long, Shila’s capital was used?
(a) 10 months
(b) 12months
(c) 14 months
(d) 16months
(e) 18 months
Ans. b
1259. Three coins are tossed. Find the probability of at least one head and one tail.
(a) 1 2
(b) 1 4
(c) 3 4
(d) 2 3
(e) None of these
Ans. d
1260. Three time the present age of a father is equal to eight times the present age of his son. Eight years hence the father will be twice as old as his son at time.what are their present ages?
(a) 35, 15
(b) 32, 12
(c) 40, 15
(d) 27, 8
(e) 35, 25
Ans. b
1261. If x > y > 0 and p > q > 0, than which one of the following expressions must be greater than 1?
(a) x + p y + q
(b) x + q y + p
(c) x p
(d) xq yp
(e) yq xp
Ans. a
1262. Which one of the following is a solution to the equation x 4 - 2 x 2 = -1?
(a) 1
(b) 2
(c) 3
(d) 4
Ans. a
1263. If x is both the cube and the square of an integer and x is between 2 and 200, what is the of x?
(a) 8
(b) 16
(c) 64
(d) 125
Ans. c
1264. After being marked down 20 percent, a calculator sells for Tk. 10. The original selling price was -
(a) Tk. 20
(b) Tk. 12.5
(c) Tk. 12
(d) Tk. 9
Ans. b
1265. If n is a number such that (-8) 2n = 2 8 + 2n , then n =
(a) 3 2
(b) 2
(c) 4
(d) 5
Ans. b
1266. The average of five numbers is 6.9. If one of the numbers is deleted, the average of the remaining numbers is 4.4.What is the value of the number deleted?
(a) 6.8
(b) 7.4
(c) 12.5
(d) 16.9
Ans. d
1267. A town has a population growth rate of 10% per year. The population is 1990 was 2000. What was the population in 1992?
(a) 2740
(b) 2200
(c) 2400
(d) 2420
Ans. d
1268. Layer 1 Circle Q Circle P
In the figure, circle P has diameter 2 and circle Q has diameter 1. What is the area of the shaded region?
(a) 3 4 π
(b) 3π
(c) 7 2 π
(d) 5π
(e) 6π
Ans. a
1269. How many ounces of water must be added to a 30-ounce solution that is 40 percent alcohol to dilute the solution to 25 percent alcohol?
(a) 10
(b) 15
(c) 16
(d) 18
Ans. d
1270. If the average (arithmetic mean) of a, b, and c is 40, what is the average (arithmetic mean) of (3a + 10), (3b +10), and (3c + 10)?
(a) 90
(b) 120
(c) 130
(d) 150
Ans. c
1271. The sum of prime number that are greater than 60 but less than 70 is
(a) 128
(b) 191
(c) 197
(d) 260
Ans. a
1272. How many times does the digit ‘4’ come to write number from 1 to 100?
(a) 10
(b) 11
(c) 19
(d) 20
Ans. d
1273. If x is 11 percent greater than 80, then x =
(a) 70.9
(b) 71.2
(c) 88.0
(d) 88.8
Ans. d
1274. The ratio 2 to 1 3 is equal to the ratio—
(a) 6 to 1
(b) 5 to 1
(c) 3 to 2
(d) 2 to 3
Ans. a
1275. If x = y + 4 and x = 20 - y, then x² –y² =
(a) 16
(b) 80
(c) 144
(d) 256
Ans. b