MBM Admission Test 2009(13th Batch)

MBM Admission Test 2009(13th Batch) (69 টি প্রশ্ন )

Q1. if c²+ d²= 4 and (c-d)² = 2, what is the value of cd?

ক) 1

খ) √2

গ) 2

ঘ) 3

here, c2+ d2= 4 and (c-d)2 = 2 so, (c-d)2 =c2+ d2-2cd or,2cd = (c2+d2)-(c-d)2 or2cd=4-2 or,2cd=2 so, cd=1

Q2. A bag contains 3 red, 4 white and 5 blue balls. Arif begins removing balls from the bag at random, one at time, What is the least number of balls he must remove to be sure that he has at least one of each colour?

ক) 3

খ) 4

গ) 5

ঘ) 10

Here, Number of red ball =3 white ball=4 blue ball=5 suppose, one picked five balls there is a possiblity that all of them are blue balls. then again,if one picked another 4 balls (total 9) then there is a possiblity that all of them are Blue and White.

After that if one picked only one ball, then 10th ball must will be red. so,total balls he must pick=5+4+1 =10

Q3. In 1995 the population of town A and town B were the same. From 1995 to 2005 the population of town A increased by 60% while the population of town B decreased by 60%. In 2005 the population of town B was what percent of the population of town A?

ক) 25%

খ) 36%

গ) 40%

ঘ) 60%

suppose,

In 1995 the population of town A and town B were 100 at 60% increase, population of town A = 100+60= 160 population of town B= 100-60=40 so, In 2005 the population of town B was = (40/ 160 ) x 100 = 25 percent of the population of town A

Q4. Jamal has three times as much money as Habib. If Jamal gives Habib Tk. 50, Habib will then have three times as much money as Jamal. How much money do the two of them have together?

ক) Tk. 100

খ) Tk. 125

গ) Tk 150

ঘ) Tk 200

suppose, Habib has x taka jamal has 3x tk here, 3(3x-50)=x+50 or,9x-150=x+150 or,9x-x=150+50 or,8x=200 or,x=25 so, Habib has 25 taka jamal has (3 x 25) tk=75 tk so,the two of them have together =75+25=100 tk

Q5. What is the greater of the two numbers whose product is 900, if the sum of the two numbers exceeds their difference by 30?

ক) 15

খ) 60

গ) 75

ঘ) 90

let's write the information as equations: xy = 900 (x + y) - (x - y) = 30, from which we can immediately see that x + y - x + y = 30 or <

Q6. If ½ x years ago Kabir was 12, and 1/2x years from now he will be 2x years old, how old will he be 3x years from now?

ক) 18

খ) 24

গ) 46

ঘ) 54

½ x years ago Kabir was 12 so , his current age = 12+½ x after,1/2x years his age will be =12+½ x +½ x here, 12+½ x +½ x =2x or,12+x=2x or,x=12 so,his current age = 12+1/2 (12) =18 after 3x=3x12=36 year later he will be =18+36 =54 years

Q7. Twenty children were sharing equally the cost of a present for their teacher. When four of the children decided not to contribute, each of the other children had to pay Tk. 50 more. How much did the present cost in Taka?

ক) 50

খ) 80

গ) 120

ঘ) 150

suppose, price of the gift is x taka at first, 20 student gave x taka 1 student gave x/20 taka when, four of the children decided not to contribute, then total children = 20-4=16 so,1 student gave x/16 taka here, x/16-x/20 =1.50 or,5x-4x/20=1.50 or,x=120 the present cost in 120 Taka

Q8. Hasan drove for h hours at a constant rate of r miles per hour. How many miles did he go during the final 20 minutes of his drive?

ক) Hr/3

খ) 3rh

গ) (hr/20)

ঘ) (r/3)

Q9. If w is an integer, and the average of 3, 4 and w is less than 10, then what is the greatest possible value of w?

ক) 10

খ) 17

গ) 22

ঘ) 23

here, (3+4+w)/3 <10 or.7+w<30 or,w<30-7 so,w<23 so, the greatest possible value of w is 22

ফ্রিতে ২ লাখ প্রশ্নের টপিক, সাব-টপিক ভিত্তিক ও ১০০০+ জব শুলুশন্স বিস্তারিতে ব্যাখ্যাসহ পড়তে ও আপনার পড়ার ট্র্যাকিং রাখতে সাইটে লগইন করুন।

লগইন করুন

Q10. Last year Mr. Mamun bought two paintings. This year he sold them for Tk. 2000 each. On one, he made a 25% profit and on the other he had a 25% loss. What is true about his net loss or profit?

ক) His loss was more than Tk. 100

খ) His loss was less than Tk. 100

গ) His profit was more than Tk. 100

ঘ) His profit was less than Tk. 100

Q11. If the difference between the measures of the two smaller angles of a right triangle is 8°, what is the measure, in degrees, of the smallest angle?

ক) 37

খ) 41

গ) 49

ঘ) 53

A right triangle (American English) or right-angled triangle (British English) is a triangle in which one angle is a right angle (that is, a 90-degree angle). The relation between the sides and angles of a right triangle is the basis for trigonometry.

Let x = one of the angles Let y = the other angle We have two equations (1) x + y = 90, and (2) x - y = 8 To solve just add (1) and (2) and get 2*x + 0 = 98 or x = 49 Then from (1) we have 49 + y = 90 or y = 90 - 49 or y = 41 so,smallest angle =41 degree

Q12. If the angles of a five sided polygon are in the ratio of 2:3:3:5:5, what is the measure of the smallest angle?

ক) 15°

খ) 30°

গ) 60°

ঘ) 120°

Sum of Interior Angles in a Polygon = 180( n - 2 ) Sum of Interior Angles in a Polygon = 180( 5 - 2 ) Sum of Interior Angles in a Polygon = 180(3) Sum of

Q13. if 64¹² = 2^a-3, what is the value of a?

ক) 15

খ) 69

গ) 72

ঘ) 75

6412 = 2a-3 or,(26)12 =2a-3 or,272=2a-3 or, 72=a-3 so,a=72+3 so,a = 75 the value of a = 75

Q14. Given a+b =1, b+c=2 and c+a=3, what is the average of a, b and C?

ক) 3

খ) 2

গ) 1

ঘ) None of the above

here, a+b =1 b+c=2 c+a=3 so,a+b+b+c+c+a=1+2+3 so,2(a+b+c)=6 so,a+b+c=3 so. average = a+b+c/3=3/3=1

Q15. Given 2^x+3 = 32, what is the value of 3^x+2?

ক) 4

খ) 27

গ) 81

ঘ) 125

here, 2x+3 = 32 or,2x23=32 or,2x 8= 32 or,2x =4 or,2x=22 so,x=2 the value of 3x+2 = 32 32 =9.9 =81

Q16. In the given figure, each of the small circles has radius r, and the large circle has radius R. The area of the shaded region and the white region are equal. What is the value of R/r ?

ক) √6

খ) 6

গ) 3

ঘ) √3

Q17. In the rectangular coordinate system below the area of the shaded region is-

ক) 1(1/2)

খ) 2(1/2)

গ) 2

ঘ) 3

Q18. As a fund-raiser, the school band was selling two types of candy. Lollipops for Tk. 40 each and chocolate bars of Tk. 75 each. On Friday, they sold 150 candies and raised Tk. 00 how many lollipops did they sell?

ক) 100

খ) 110

গ) 105

ঘ) 120

suppose , number of lollipops =x number of chocolate bars = 150-x here, 0.40x+0.75(150-x)=74 or,.40x+112.5-.75x=74 or,-.35x=-38.5 or,x= 110 so, they sold 110 lollipos

Q19. Dipu drove from his home to college at 60 miles per hour. Returning over the same route, there was a lot of traffic, and he was only able to drive to 40 miles per hour. If the return trip took 1 hour longer, how many miles did he drive each way?

ক) 2

খ) 3

গ) 120

ঘ) 240

suppose, total distance x miles when Dipu drove from his home to college, 60 miles goes in 1 hour 1 mile goes in 1/60 hour x miles goes in x/60 hour Returning over the same route, at 40 mph speed, x miles goes in x/40 hour here. x/40 - x/60=1 or,3x-2x/120=1 or,x=120 so, he drove 120 miles each way