Subject Mathematics
776. If m= a x , n = a y ay and m y n x = a 2 z , then the value of xyz is :
(a) 1
(b) 2
(c) 3
(d) None of these
Ans. a
777. Two numbers are in the ratio of 3 :5. If each is increased by 10, the ratio becomes 5: 7. The numbers are:
(a) 3,5
(b) 12,20
(c) 15,25
(d) 30,42
Ans. c
778. A, B, C start a business. If A invests 3 times as much as B invests and B invests two- third of what C invests, then the ratio of capitals of A, B,C is:
(a) 3: 9: 2
(b) 6: 16: 15
(c) 6: 2: 3
(d) None of these
Ans. c
779. ABC is a triangle is which AB = AC. If the base BC is produced to D and ACD =130°, then A equals to: GAPE
(a) 80°
(b) 60°
(c) 50°
(d) 40°
Ans. a
780. If a²+4a+13=1+a² then find out the value of a²?
(a) 9
(b) 0
(c) 4
(d) 7
(e) None of these
Ans. a
781. A watch was sold at 15% loss. If the selling price was Tk 8 more, then the seller could have made a profit of 10%. What was the purchase price of that watch?
(a) 45
(b) 32
(c) 36
(d) 3o
(e) None of these
Ans. b
782. What part of an hour elapses between 11:40 a.m. and 12:20 p.m.?
(a) 2 3
(b) 1 2
(c) 4 5
(d) 1 6
(e) None of these
Ans. a
783. If A is 4 6 of B and B is 6 8 of C, what is the ratio of C : A?
(a) 1 : 1
(b) 4 : 3
(c) 2 : 1
(d) 1 : 2
(e) None of these
Ans. c
784. Out of total profit, A gets 40%, B 25%, C 20%, D 10% and E 5%. A's profit is what percentage of that of B?
(a) 150%
(b) 160%
(c) 400%
(d) 200%
(e) None of these
Ans. b
785. If A and B are positive and A > B, which of the following is true?
(a) 5-A > 6-B
(b) -B A > -A B
(c) 6-A > 6-B
(d) 200%
(e) None of these
Ans. b
786. Per day wage rate of workers is reduced 50% due to economic slowdown. After one year, the wage rate is increased by 60%. If the per day wage rate before the decrease was Tk. 100, then what is the per day wage rate now?
(a) 90
(b) 100
(c) 60
(d) 80
(e) None of these
Ans. d
787. Mr. Salam deposited Tk. 800 in a Bank at 15% annual compound interest rate. At the end of the second year, the total amount including the interest will be :
(a) 850
(b) 900
(c) 1025
(d) 1058
(e) None of these
Ans. d
788. Sum of the two numbers is 21 and their difference is 7. What is the half of the greater number?
(a) 7
(b) 6
(c) 9
(d) 12
(e) None of these
Ans. a
789. You now buy 5 more Oranges with Tk. 75 due to reduction in price by 20 percent. Calculate the current price of one dozen of Oranges.
(a) 24
(b) 30
(c) 36
(d) 32
(e) None of these
Ans. c
790. In a sugar-water solution, the ratio of water to sugar is 8 : 3. If you add 2 Kgs of sugar, the ratio becomes 2 : 1. What was the amount of sugar in the original solution?
(a) 4.5
(b) 5
(c) 8
(d) 6
(e) None of these
Ans. d
791. The average of 6 number is 9, when one number is discarded the average of the remaining numbers becomes 7.2. What is the discarded number?
(a) 7.8
(b) 18
(c) 15
(d) 12.4
(e) None of these
Ans. b
792. In a class composed of x girls and y boys what part of the class is composed of girls
(a) y (x + y)
(b) x xy
(c) x (x + y)
(d) y xy
(e) None of these
Ans. c
793. Karim can type 10 pages in 5 minutes. Rahim can type 5 pages in 10 minutes. Working together, how many pages can they type in 30 minutes?
(a) 15
(b) 20
(c) 25
(d) 65
(e) 75
Ans. e
794. If a = -1, then, ( a 4 + a 3 + a 2 + a) =
(a) -10
(b) -4
(c) 0
(d) 4
(e) 10
Ans. c
795. If the length and width of a rectangular garden plot were each increased by Q0 percent, what would be the percent increase in the area of the plot?
(a) 20%
(b) 24%
(c) 36%
(d) 40
(e) 44%
Ans. e
796. x = 2y+3 and y=-2; Quantity A = x and Quantity B = -1
(a) Quantity A is greater
(b) Quantity B is greater
(c) The two quantities are equal
(d) The relationship cannot be determined from the information given
(e) None of these
Ans. c
797. If a and b are positive integers and a - b 3.5 = 4 7 4/7, then
(a) b < a
(b) b > a
(c) b = a
(d) b ≥ a
(e) None of these
Ans. a
798. If n and p are both odd numbers, which of the following must be an even number?
(a) np + 2
(b) n + p
(c) n + p + l
(d) np
(e) None of these
Ans. b
799. If ( x – 1 ) 2 = 400, which of the following could be the value of x - 5 ?
(a) 15
(b) 14
(c) -24
(d) -25
(e) None of these
Ans. c
800. 1 2 × 3 4 × 8 4 ÷ 8 2 × 1 2 =
(a) 3 32
(b) 3 8
(c) 2 3
(d) 1
(e) 3 2
Ans. a