Subject Mathematics
Choose the correct answer
901. A share of stock in Ace Enterprise costs D taka on Jan, 2010.One year later, a share increased to Q taka. The fraction by which the cost of a share of stock has increased in the year is –
(a) Q - D D
(b) D - Q Q
(c) D Q
(d) Q D
(e) Q - D Q
Ans. a
902. Rahim’s salary is 125% of karim’s salary;Mary’s salary is 80% of Karim’s salary. The total of all three salaries is Tk.61,000.What is Mary’s salary?
(a) Tk. 25,000
(b) Tk. 16,000
(c) Tk. 20,000
(d) Tk. 30,000
(e) None of these
Ans. b
903. A carpenter is designing a closet. The floor will be in the shape of a rectangle whose length is 2 feet more than its width. How long should the closet be if the carpenter wants the area of the floor to be 15 square feet?
(a) 3 feet
(b) 5 feet
(c) 7 feet
(d) 11 feet
(e) 12 feet
Ans. b
904. When is the result of the following division infinite? 10 2x - 4
(a) x = 0
(b) x = 5
(c) x = 6
(d) x = 2
(e) x = 4
Ans. d
905. A distance of 320 miles is traveled in 20 hours. At the same average rate, how many miles are traveled in 8 1 2 hours ?
(a) 150 miles
(b) 180 miles
(c) 136 miles
(d) 140 miles
(e) None of above
Ans. c
906. The first of three angles measures 10 % less than the second. The third angle measures 20% more than the sum of the other two. Find the three angles if the angle is the angles of a triangle.
(a) 30°, 40°, 110°
(b) 45°, 45°, 90°
(c) 35°, 45°, 100°
(d) 60°, 30°, 90°
(e) None of above
Ans. e
907. If a sequence is defined by the rule an = (a n - 1 – 3) ², What is a4 (the fourth term of the sequence) if a1 is 1?
(a) 4
(b) 6
(c) 16
(d) 25
(e) 9
Ans. a
908. A man 6 feet tall casts a shadow 4 feet long; at the same time a flagpole casts a shadow that is 50 feet long. How tall is the flagpole?
(a) 70 feet
(b) 75 feet
(c) 80 feet
(d) 85 feet
(e) None of above
Ans. b
Choose the correct answer.
909. From 2009 to 2010 the sales in a shop decreased by 80%. If the sales in 2010 were the same as in 2009, by what increase from 2009 to 2010?
(a) 80%
(b) 100%
(c) 120%
(d) 400%
(e) 500%
Ans. e
910. Driving at 48 miles per hour, how many minutes will it take to drive 32 miles?
(a) 35
(b) 40
(c) 45
(d) 50
(e) 60
Ans. b
911. If 3a +5b =10 and 5a +3b =30, then what is the average (arithmetic mean) of a and b?
(a) 2.5
(b) 4
(c) 5
(d) 8
(e) 10
Ans. a
912. 6 man and 8 women can do a work in 18 days. How many days will it require to complete the whole work if 3 man and 3 women work together?
(a) 10 days
(b) 12 days
(c) 14 days
(d) 16 days
(e) 20 days
Ans. d
913. If P = x² - 36 x² - 49 and Q = x + 6 x + 7 , then what is the value of P Q ?
(a) x + 6 x + 7
(b) x - 6 x + 7
(c) x - 6 x + 6
(d) x + 6 x - 7
(e) None
Ans. a
914. If x² + y² = 36 and ( x + y)² = 64, than what is the value of xy?
(a) 14
(b) 28
(c) 45
(d) 50
(e) 60
Ans. a
915. If a : b = 4 : 7 and b : c =5 : 6 then what is a : b : c ?
(a) 4 :7 :6
(b) 20 : 35 : 24
(c) 20 : 35 : 42
(d) 24 : 35: 30
(e) 20 :25 : 30
Ans. c
916. At present, father’s age is 4 times more than that of his son. 6 days ago father’s age was 10 times more than that of his son. What is their present age?
(a) 56 and 14 years
(b) 36 and 9 years
(c) 32 and 8 years
(d) 40 and 10 years
(e) 48 and 12 years
Ans. b
917. As a results of increase in the price of sugar by 25%, a family reduced its consumption in such a way that expenditure on sugar did not increase. What is the percentage decline in sugar consumption?
(a) 20%
(b) 22%
(c) 25%
(d) 28%
(e) 30%
Ans. a
918. Two numbers are in the ratio of 1 : 2. If 7 be added to both, their ratio changes to 3 : 5. The greater number is ___.
(a) 20
(b) 24
(c) 28
(d) 32
(e) None
Ans. c
919. A contractor estimates that he can paint a house in 5 days by using 5 men. If he actually uses only 5 men for the job how many days will it take to do this job?
(a) 5
(b) 5 1 2
(c) 5 1 3
(d) 6
(e) None
Ans. d
Answer the questions on the basis of the information given below: A college president wishes to select four members of a faculty- student committee as representative to meet collage’s board of trustees. The faculty – student committee consists of exactly four faculty members- F, G, H, I and four students – R, S, T and U. The president can select any of the committee members as representatives as long as she observes the following restrictions.
* The group of our representatives must consist exactly two faculty member and two students.
* Either F or G must be one of the representatives, but F and G cannot both be representatives.
* If R is a representative, H must also be a representative
* If T is a representative, G cannot be a representative.
920. If R is a representative, which of the following CANNOT also be a representative?
(a) H
(b) I
(c) S
(d) T
(e) U
Ans. b
921. If neither S nor U is a representative, which of the following is the pair of faculty member who must be representative?
(a) F and G
(b) F and H
(c) F and I
(d) G and H
(e) G and I
Ans. b
922. If G is a representative, which of the following can be the other three representatives?
(a) F, S, U
(b) H, I, R
(c) H, R, S
(d) H, S, T
(e) I ,R, U
Ans. c
923. IF G, I and S are representatives, which of the following must also be a representatives?
(a) F
(b) H
(c) R
(d) T
(e) U
Ans. e
924. If T is a representative and H is not a representative, the group of representatives would be completely by determined if it were also true that
(a) F is a representative
(b) I is a representative
(c) G is not a representative
(d) R is not a representative
(e) U is not a representative
Ans. e
Answer the questions on the basis of the information given below.
925. Which number has the same property as the following numbers?
957, 777, 876
(a) 999
(b) 697
(c) 979
(d) 894
Ans. d