Easy

Set 1:

1. Which of the following is divisible by 4?(A)3456 (B)7877 (C)345 (D)98 (E)37 Ans:A

2. The average of 3 numbers is 20. If two numbers are 16 and 22 the third is? (A)22 (B)20 (C)19 (D)18 (E)23 Ans:A

3. Which of the following must be odd?(i)Even x Even (ii)Odd x Odd (iii)Even=Odd (A)None (B)i only (C)ii & iii only (D)i and iii only (E)i,ii,iii Ans:C

4. How many prime numbers are there between 1 and 10?(A)2 (B)3 (C)4 (D)5 (E)6 Ans:c

5. 1. Which of the following is the best approximation of the product 21.0005 x 0.01?a) 0.20 b) 0.02 c) 0.002 d) 2.00 e) 20.00Ans: A

6. The number 287.782 rounded off to the nearest tenth is equal to which of the following?a) 290 b) 287.77 c) 287.80 d) 287.780 e) 280Ans: C7. If 100 + x = 100, then what is the value of x?a) -100 b) -10 c) 0 d) 10 e) 100And: C

8. The ratio of 1/4 to 3/5 is a) 1 to 3 b) 3 to 20 c) 5 to 12 d) 3 to 4 e) 5 to 4Ans: C

9. What is the smallest possible integer that is evenly divisible by both 21 and 9? a) 189 b) 126 c) 63 d) 42 e) 21 Ans: C

10. (Any real number)0 = ? (A) 0 (B) Cannot be defined (C) 1 (D) Depends on the number (E) noneAns: C

Set 2:1. Which of the following is divisible by 3?(A)342 (B)383 (C)373 (D)364 (E)331 Ans:A

2. Mehedi had an average of 75 on his first four geography tests. After taking the next test his average dropped to 72. How much did he get in the fifth test?(A)54 (B)56 (C)58 (D)60 (E) 57 Ans:D

3. If x is not a negative number what is the maximum possible value of 2-3x?(A)4 (B)3 (C)2 (D)1 (E)5 Ans:C

4. What are the prime factors of 12?(A)2,3 (B)4,3 (C)6,2 (D)12,1 (E)2,2,3 Ans:A

5. Which of the following is closest to the square root of 1/3?a) 0.79 b) 0.80 c) 0.58 d) 1.23 e) 0.95 Ans: C

6. Which of the following results if 938 is rounded off to 1st place to accuracy?a) 940 b) 800 c) 1000 d) 950 e) 900 Ans: E

7. If r=3, then (4 + r) (7-r) = a) 25 b) 37 c) 17 d) 31 e) 28 Ans: E

8. If x:y = y:z = 3/2 and z = 2, what is the value of x?a) 3 b) 4 c) 4.5 d) 2.5 e) 5 Ans: C

9. What is the smallest possible number that leaves a remainder of 2 when divided by 3, 4, 5 and 7?a) 142 b) 107 c) 422 d) 420 e) 105 Ans: C

10. The number 0.127 is how much greater than 1/8?a) 1/500 b) 1/50 c) 2/500 d) 2/50 e) none of these Ans: A

Set 3:1. Which of these numbers is not divisible by 3?(A) 339 (B) 342 (C) 552 (D) 1111 (E) 672 Ans:D

2. The average of five numbers is 25. After one of the numbers is removed, the average of the remaining is 31. What number has been removed? (A)1 (B)6 (C)11 (D)24 (E) 9 Ans:A

3. If n and p are both odd numbers which of the following numbers must be an even integer?(A) (B) xy+ (C)x+y-1 (D)xy+2 (E)x+y Ans:B

4. How many prime numbers are there between 1 and 20?(A)9 (B)6 (C)7 (D)8 (E)5 Ans:D

5. If 3x = 12, then 5x =a) 12 b) 20 c) 28 d) 18 e) 22 Ans: B

6. What number should come next in the following series: 2, 1, (1/2), (1/4), __?(A) 1/8(B) 2/8(C) 1/16(D) 4(E) 8Ans: A

7. Solve: 2x 1 > x + 2(A) x > 3(B) x < 3(C) x < -3(D) x > -3(E) x > 2Ans: A

8. 1. If x = y4, what is x in terms of y? (A) y (B) y (C) y2 (D) y4 (E) y8 Ans: E

9. What should come next in the series 1, 4, 9, __?(A) 12(B) 14(C) 16(D) 20(E) 25Ans: C

10. If 2x 8 > 2, which of the following must be true?(A) x > 5(B) x < 5 (C) x > 8(D) x < 8(E) x > 10Ans: A

Set 4:1. Which of the following is divisible by 9?(A)6821 (B)1962 (C)9633 (D)1250 (E)667 Ans:B

2. The average of two numbers is M. If one number is N, then the other number is:(A)2N (B)2M (C)M-N (D)2M-N (E)M+N Ans:D

3. Which of the following is Odd?(A)Even+Even (B) Even+Odd (C)Odd x Even (D)Odd+Odd (E)Even x Even Ans:B

4. What is the third prime number?(A)3 (B)5 (C)7 (D)6 (E)4 Ans:B

5. If 3x + 9 = 5x + 1, then what is the value of x?a) 1 b) 2 c) 3 d) 4 e) 5 Ans: D

6. Complete the series: 2, 4, 8, __?(A) 10(B) 12(C) 14(D) 18(E) 20Ans: C7. If (3x/2) 1 > 0, which of the following must be true?(A) x > 2/3(B) x > 3/2(C) x < 2/3(D) x < 3/2(E) x > 5/2Ans: A

8. 210 + 210 + 210 + 210 = ? (A) 20000 (B) 240 (C) 211 (D) 212 (E) 210000Ans: D

9. What number should come next in the following series: 27, 9, 3, __?(A) 4(B) 3(C) 2(D) 1(E) 0Ans: D

10. If 3x 2 < 19, which of the following is true?(A) x < 21(B) x > 21(C) x < 7(D) x > 7(E) x < -7Ans: C

Set 5:1. Which of the following number is divisible by 11?(A)27321 (B)2653 (C)29622 (D)24357 (E) 29623 Ans:E

2. The average age of 30 students is 9 years. If the age of their teacher is included, it becomes 10 years. The age of the teacher is:(A)27 (B)31 (C)35 (D)40 (E)45 Ans:D

3. If n is an integer then which represents odd numbers?(A)n+1 (B)n (C)2n (D)2n+1 (E)n+2 Ans:D

4. How many prime numbers are there between 1 and 50?(A)14 (B)12 (C)13 (D)15 (E)11 Ans:D

5. If 3x = 36, then x/3 =a) 4 b) -4 c) 0 d) 36 e) -36 Ans: A

6. If 21x/7 < -3, which of the following is true?(A) x < 1(B) x > 1(C) x < -1(D) x > -1(E) x < 21

Ans: C

7. 3. If x 0, then (x5)2 x12 = ? (A) x21 (B) x14 (C) x8 (D) x7 (E) x6Ans: E

8. What number should come next in the following series: 8, 16, 32, __?(A) 40(B) 48(C) 60(D) 64(E) 128Ans: D

9. 4. 212 + 46 + 84 + 163 = ? (A) 250 (B) 214 (C) 218 (D) 224 (E) None

Ans: B

10. Which of the following fractions is the largest?a) 2/3 b) 3/5 c) 7/11 d) 13/23 e) 2/5 Ans: A

Medium: Set 1:1. Which answer choices below evenly divide 156(A)11 (B)7 (C)9 (D)5 (E)3 Ans:E

2. The average price if three items of furniture is tk15000. If their prices are in the ratio 3:5:7. the price of the cheapest item is:(A)9000 (B)15000 (C)18000 (D)21000 (E)16000 Ans:A

3. If x is a positive even number then each of the following is odd except (A)(x+3)(x+5) (B) (C) (D)3 (E)x+3 Ans:D

4. How many integers between 110 and 120 are prime numbers?(A)0 (B)1 (C)2 (D)3 (E)5 Ans:c

5. Which of the following is the best approximation of the product 1000.001 x 39.901 x 0.002? a) 390 b) 80 c) 3.90 d) 0.80 e) 40 Ans: B

6. What is the product of 80 and 30 to one place to accuracy?a) 3000 b)300 c) 2400 d) 2000 e) 2500 Ans: D

7. If 2^x+1 = 16, then what is the value of x?a) 0 b) 5 c) 3 d) -1 e) 7 Ans: C

8. If 24 of the 40 students of a club are girls, what is the ratio of boys to girls in the club?a) 2:5 b) 3:5 c) 3:2 d) 2:3 e) 5:2 Ans: D

9. Tim has 18 blue pens, 27 red pens and 54 yellow pens. He wants to divide each colors equally among the same number of children so that no pen remains left. What is the maxium number of children who might get the pens?a) 3 b) 6 c) 9 d) 18 e) none of these Ans: C

10. Which of the following fractions is the smallest?a) 5/6 b) 9/11 c) 7/9 d) 8/13 e) none of these Ans: D

Set 2:1. What is the smallest integer that is multiple of 5, 7 and 20?(A) 70 (B) 35 (C) 200 (D) 280 (E) 140 Ans:E

2. Out of four numbers the average of first 3 is 16 and that of the last three is 15. If the last number is 18, the first number is: (A)20 (B)21 (C)23 (D)25 (E) 24 Ans:B

3. If a,b and c are 3 consecutive integers and a>b>c, which of the following equations must be an even integer?(A)a+b/c (B)b+c/a (C)c+b/a (D)c+a/b (E) a+b Ans:A

4. How many prime numbers are there between 56 and 100?(A)8 (B)9 (C)10 (D)11 (E)12 Ans:b

5. Of the following, the closest approximation to (98.90 + 150 + 245) is-a) 400 b) 398 c) 550 d) 450 e) 500 Ans: E

6. The number 65.7386 rounded off to the nearest hundredth is equal to which of the following?a) 65.739 b) 65.74 c) 65. 70 d) 65.00 e) 65.70 Ans: B

7. If (x - 1) (x + 2) = 0, then what are the values of x?a) 1, -2 b) 2, -1 c) 0, -2 d) -1, 0 e) -1, -2 Ans: A

8. On a blueprint, 1/4 inch represents 16 feet. If a driveway is 40 feet long, what is its length, in inch, on the map?a) 3/8 b) 5/8 c) 3/4 d) 5/2 e) 10 Ans: B

9. If x, y, z are positive integers and 5x = 6y = 2z, then what is the smallest value of x + y + z?a) 26 b) 18 c) 32 d) 56 e) 10Ans: A

10. Three friends shared a pizza. Tim ate 2/6 of the pizza. Kate ate 3/6. How much pizza is left?a) 1/3 b) 1/2 c) 3/5 d) 2/7 e) 1/6 Ans: E

Set 3:1. A warehouse contains 7,434 jars of baby food, and each aisle contains the same number of jars. How many aisles could there be?(A)9 (B)5 (C)3 (D)6 (E)8 Ans:A

2. Ramim travels to a place 150 km away at an average of speed of 50 km per hour and returns at 30 km per hour. His average speed for the whole journey is (A)35 (B)37.7 (C)37.5 (D)40 (E)37 Ans:C

3. If x is an odd integer for which of the following equations must y be an even integer?(A)xy=5 (B)x+y=8 (C)x+2y=7 (D)2x+y=6 (E)x+y=1 Ans:D

4. Which of the following is a prime number? (A)41 (B)39 (C)49 (D)87 (E)12 Ans:A

5. In the equation p = aq^2 + bq -c, if a = 5, b = 1 and c =0, which of the following expresses p in terms of q? a) q(5q + 1) b) 5q(q - 1) c) q^2 + 1 d) 5q^2 + 1 e) q + 5q Ans: A

6. If (x+y)3 = 27, what is the value of x ? (A) -7 (B) -1 (C) 5 (D) 23 (E) 31Ans: B

7. What number should come next in the following series: 544, 509, 474, __?(A) 419(B) 429(C) 439(D) 449(E) 459Ans: C

8. If m is an even integer and 4m < 64 and 3m > 36, then m =?(A) 12(B) 13(C) 14(D) 15(E) 16Ans: C

9. 2. If x-2 = y4, what is the value of x? (A) y-8 (B) y-4 (C) y-2 (D) y4 (E) y8 Ans: C

10. What comes next in the given series: 11, 12, 17, 18, __?(A) 19(B) 20(C) 21(D) 22(E) 23Ans: E

Set 4:1. At a summer picnic, 165 children will participate in a relay race. Each team must be the same size. How many children could be on each team?(A)11 (B)16 (C)7 (D)8 (E) 6 Ans:A2. The average weight if 9 mangoes is increased by 20 g if one of them weighing 120g is replaced by another. The weight of the new mango is?(A)180 (B)200 (C)260 (D)300 (E) 250 Ans:D

3. The product of two consecutive numbers is 12 more than the square of the smaller number. Find the greater number.(A)9 (B)11 (C)12 (D)13 (E) 14 Ans:D

4. How many prime numbers are there between 41 and 60?(A)19 (B)17 (C)20 (D)21 (E)15 Ans:C

5. If p = - 2 and q = 3, then what is the value of p^3q^2 = p^2q?a) 78 b) 64 c) 92 d) 84 e) 72 Ans: D

6. Which if the following represent the expression (1.6*109) ? (A) 1.6*103 (B) .8*103 (C) 6*103 (D) 4*104 (E) none Ans: D

7. Complete the following series: 3, 21, 5, 28, 7, __?(A) 9(B) 11(C) 25(D) 30(E) 35Ans: E

8. Solve: (x 5) / (x + 3) < -1 (A) x < 1 (B) x < -3(C) -3 < x < 5(D) x < -3 or x > 1(E) -3 < x < 1

Ans: E

9. If , then = ?(A) 4 (B) 12 (C) 34 (D) 38 (E) 316Ans: D

10. If x + 5 > 2 and x 3 < 7, what is the range of x?(A) Between -3 and 10(B) Between -3 and 4(C) Between 2 and 7(D) Between 3 and 4(E) Between 3 and 10Ans: B

Set 5:1. Sakib has 684 rose bushes to plant in rows. He wants to put the same number of bushes in each row with no bushes left over. How many rows of bushes could Leo make?(A)6 (B)5 (C)10 (D)7 (E)8 Ans:A

2. If b=8d-c and a=, what is the average of of a, b, c and d?(A)4a (B)7a (C) (D)4a+7 (E) 4a Ans:B

3. If m is an even integer which of the following must be an odd integer>(A)m+2 (B)m+4 (C)2m+1 (D)2m-2 (E) m+1 Ans:C

4. Which of the following is a prime number?(A)153 (B)147 (C)151 (D)161 (E)121 Ans:C

5. If x^2 - 16x + 48 = 0, then what is the value of x?a) 24, 12 b) 6, 8 c) 12, 4 d) 4, 24 e) 8, 12 Ans: C

6. If x2 = y4, then what is x in terms of y (A) y (B) y (C) y2 (D) y3 (E) y8Ans: C7. Solve: -2x + 3 < 9x - 19(A) x > 2(B) x < 2(C) x < -2(D) x > -2(E) x > 3Ans: A

8. Which number should come next in the given series: 80, 10, 70, 15, 60, __?(A) 10(B) 20(C) 30(D) 40(E) 50Ans: B

9. Solve: 7x 9 > 5x + 13(A) x < 11(B) x < -11(C) x > 11(D) x > -11(E) x > 9Ans: C

10. In the given series, which number will come next: 91, 86, 76, 61, __?(A) 31(B) 36(C) 41(D) 46(E) 51Ans: C

Hard

Set 1:1. When the integer n is divided by 8, the remainder is 3. What is the remainder if 6n is divided by 8?

(A) 0 (B) 1 (C) 2 (D) 3 (E) 4 Ans:C

2. The average of 5,9,k and m is 12 then what is the average of k=7 and m-3?(A)14 (B)17 (C)19 (D)21 (E) 15 Ans:c

3. What is the minimum number of chocolates that must be added to the existing stock of 270 chocolates so that it can be divided among 6, 8 or 12 persons?(A)12 (B)16 (C)18 (D)20 (E) 14 Ans:C

4. The sides of a rectangle are 19 feet by 99 feet. Which of the following is the best approximation of the area of the rectangle?a) 200 b) 1000 c) 2000 d) 1100 e) 3654 Ans: C5. Which of the following results if 84300 is rounded off to 2nd significant figure?a) 80000 b) 84000 c) 85000 d) 84300 e) 8400 Ans: B

6. 23. If 48 - 3x = 36, then what is the value of x?a) 24 b) 16 c) 20 d) 18 e) 32 Ans: B

6. If , then w k? (A) 0 (B) 1 (C) 2 (D) -1 (E) -2Ans: E7. Complete the following series: 1, 3, 3, 9, __?(A) 9(B) 12(C) 15(D) 25(E) 27Ans: E

8. Which of the following inequalities is equivalent to 10 2x > 18?(A) x > -14(B) x > -4(C) x > 4(D) x < 4(E) x < -4Ans: D

9. Complete the series: 1, 2, 5, 12, __?(A) 17(B) 22(C) 25(D) 27 (E) 33Ans: D

10. If a, b, and c are three consecutive odd integers such that 10 b d(C) c + d < a b(D) b + d < a + c (E) a c < b d Ans: D

10. If x = p(p - 2), then what is the value of x + 1?a) p^2 - 2p +1 b) p^2 + 2p +1 c) p^2 - 2p - 11 d) 3p +1 e) p^2 - 2pAns: A

Set 3:

1. If y is an integer divisible by 3 but not by 2 then which of the following will never be an integer?(A) (B) (C) (D) (E)y+1 Ans:c

2. Of the three numbers, second is twice the first and is also thrice the third.If the average of the three numbers is 44, the largest number is:(A)24 (B)36 (C)72 (D)108 (E) 42 Ans:C

4.If x/y>0 which of the following must be true?(A)x>0 (B)y>0 (C)xy>0 (D)x-y>0 (E) x k, which of the following could be the value of h + k ? (A) 12 (B) 24 (C) 27 (D) 51 (E) 144Ans: C

9. If y = (x + 2), and x and y are real numbers, which of the following can NOT be the value of x ? (A) -3 (B) -2 (C) -1 (D) 1 (E) 2Ans: A

10. What number should come next in the following series: 1.5, 2.3, 3.1, 3.9, __?(A) 4.7(B) 4.5(C) 4.2(D) 5.3(E) 5.6Ans: A

Set 5:1. +) is divisible by(A)7 (B)13 (C)15 (D)17 (E)11 Ans:A

2. 5 years ago the average age of P&Q was 15 years. Average age of P,Q & R today is 20 years. How old will R be after 10 years?(A)35 (B)40 (C)30 (D)50 (E) 45 Ans:c

3. If xy0 which of the following must be positive?(A)x-y (B)2x+3y (C) (D) (E) x+y Ans:D4. If 1/x > x, then x must be(A) Less than 1(B) Equal to 0(C) Between 0 and 1(D) Equal to 1(E) Greater than 1Ans: A