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১

    Seven  students  Farida  Juli, Keya, Mita, Rozy, Shirin, and Tuli are eligible to enter  the currently running School Spelling Bee contest. From these seven, two teams must be formed- a red team and a green team, each team consisting of exactly three the students. No student  can be selected for more than one team .Team selection is subject to the following restrictions If Mita on the red team. Keya must be selected for the green team .if Farida is on the red team Rozy, if  selected, must be on the green team Rozy cannot be on the same team as Shirin July cannot be on the same team as Keya If both Mita and Farida are in the red team. which of the following must be included in the green team?

ক)     Rozy খ)    Juli গ)    Tuli ঘ)    Shirin

২

    Seven  students  Farida  Juli, Keya, Mita, Rozy, Shirin, and Tuli are eligible to enter  the currently running School Spelling Bee contest.  From these seven, two teams must be formed- a red team and a green team, each team consisting of exactly three the students. No student  can be selected for more than one team .Team selection is subject to the following restrictions If Mita on the red team. Keya must be selected for the green team .if Farida is on the red team Rozy, if  selected, must be on the green team Rozy cannot be on the same team as Shirin July cannot be on the same team as Keya Which of the following can be the three members of the red team?  

ক)    Farida. Rozy, and Tuli খ)    Farida, Jui and Keya গ)    Keya, Mita, and Rozy ঘ)    Juli. Keya, and Tuli

৩

    All  security door locks manufactured by Door Seal Combination Lock Company have a combination that consists of four elements-a one digit number, a two digit number. And two letters of the alphabet. Each combination conforms to the following rules i.The one-digit number is the first element in the combination ii.The two letters of the alphabet are not adjacent elements in the combination iii. The two-digit number consists of two different numerals. iv. The two-digit number has no numerals in common with the one-digit number The sequence of elements 9-K M-29 violates which of the rules given?

ক)    Ii only খ)    iii only গ)    iiand iv only ঘ)    ii ,iiiand iv

৪

    All  security door locks manufactured by Door Seal Combination Lock Company have a combination that consists of four elements-a one digit number, a two digit number. And two letters of the alphabet. Each combination conforms to the following rules i. The one-digit number is the first element in the combination ii.The two letters of the alphabet are not adjacent elements in the combination iii. The two-digit number consists of two different numerals. iv. The two-digit number has no numerals in common with the one-digit number Which of the following CANNOT be  the first element of  a combination that has k-53-j as its second third, and fourth elements?

ক)    6 খ)    7 গ)    8 ঘ)    5

৫

    All security door locks manufactured by Door Seal Combination Lock Company have a combination that consists of four elements-a one digit number, a two digit number. And two letters of the alphabet. Each combination conforms to the following rules i. The one-digit number is the first element in the combination ii. The two letters of the alphabet are not adjacent elements in the combination iii. The two-digit number consists of two different numerals. iv. The two-digit number has no numerals in common with the one-digit number Which of the following is a sequence of elements that conforms to the rules?

ক)    The second element is a two digit number খ)    The third element is a letter of the alphabet গ)    The third element is a one-digit number ঘ)    The fourth element is a two-digit number

৬

    All  security door locks manufactured by Door Seal Combination Lock Company have a combination that consists of four elements-a one digit number, a two digit number. And two letters of the alphabet. Each combination conforms to the following rules i. The one-digit number is the first element in the combination ii. The two letters of the alphabet are not adjacent elements in the combination iii. The two-digit number consists of two different numerals. iv. The two-digit number has no numerals in common with the one-digit number Which of the following is a sequence of elements that conforms to the rules?

ক)    6-73-D-M খ)    2-X-37-G গ)    39-H-Y-6 ঘ)    h-24-k-4

৭

    IBA students are good in debating." The statement above can be deduced  logically which of the following statement?

ক)    IBA students have English medium schooling background খ)    Debating is a part of the curriculum at IBA গ)    IBA students bring awards from home and abroad in debating every year ঘ)    IBA has a debating club

৮

    If your watch was made after  it is quartz powered The statement above can be deduced logically from which of the following statement

ক)     Only if a watch was made after 1972 could it be quartz powered খ)     All watches made after 1972 are quartz powered গ)    Some watches made before 1972 were quartz powered ঘ)    Some quartz-powered watches are found made after 1972

৯

    Blocks of buildings of a five star hotel in Dhaka range from three to five stories in height.if a guest room is above the first floor, it has a fire escape. If  the above statements are true which of the following must also be true?

ক)     First-floor  rooms in  the hotel do not have fire escape খ)    Fire escapes are allowed but not required for first-floor guest rooms গ)    Some buildings of the hotel have no fire escapes ঘ)    Not all five hoels have proper fire escapes.

১০

    It is true that increasing demand for a limited number of products drives the price of Those products. However, if we cut tax rates  then people will retain a higher percentage of their Income and will be encouraged to work harder and produce more. Therefore, the increase in demand resulting  from greater disposable income will not result in higher prices for the products available? In the passage above, the author makes which of the following arguments?

ক)    Reducing taxes is likely to result in less disposable income. খ)    Reducing taxes is likely to decrease demand গ)    Reducing taxes can fail to result in greater disposable income. ঘ)    Reducing taxes will probably restrict the availability of certain products.

১১

    Seven  students  Farida  Juli, Keya, Mita, Rozy, Shirin, and Tuli are eligible to enter  the currently running School Spelling Bee contest. From these seven, two teams must be formed- a red team and a green team, each team consisting of exactly three the students. No student  can be selected for more than one team .Team selection is subject to the following restrictions If Mita on the red team. Keya must be selected for the green team .if Farida is on the red team Rozy, if  selected, must be on the green team Rozy cannot be on the same team as Shirin July cannot be on the same team as Keya If Farida is  selected for the red  team and Tuli is not selected for either team, then which of the following CANNOT be member of the green team?

ক)    Juli খ)    Keya গ)    Mita ঘ)    Rozy

১২

    Seven  students  Farida  Juli, Keya, Mita, Rozy, Shirin, and Tuli are eligible to enter  the currently running School Spelling Bee contest. From these seven, two teams must be formed- a red team and a green team, each team consisting of exactly three the students. No student  can be selected for more than one team .Team selection is subject to the following restrictions If Mita on the red team. Keya must be selected for the green team .if Farida is on the red team Rozy, if  selected, must be on the green team Rozy cannot be on the same team as Shirin July cannot be on the same team as Keya If Mita is on the red team ,Which of the following,if selected, must  also be on the red team?  

ক)    farida খ)    juli গ)    Rozy ঘ)    Shirin

১৩

    Seven  students  Farida  Juli, Keya, Mita, Rozy, Shirin, and Tuli are eligible to enter  the currently running School Spelling Bee contest. From these seven, two teams must be formed- a red team and a green team, each team consisting of exactly three the students. No student  can be selected for more than one team. Team selection is subject to the following restrictions If Mita on the red team. Keya must be selected for the green team .if Farida is on the red team Rozy, if  selected, must be on the green team Rozy cannot be on the same team as Shirin July cannot be on the same team as Keya If  Mita and Farida  are both on  the  red team , the green team can consist of which of the following?

ক)     Juli, Shirin and Tuli খ)    Juli  Keya, and Rozy গ)     Keya. Rozy, and Tuli ঘ)    Keya. Rozy, and Shirin

১৪

    Sanwar spent 20% of his salary for food, 30% for apartment rent, and 25% forgather expenses. If the remaining Tk. 3500 were his monthly savings, how much (Taka) was apartment rent?

ক)     2400 খ)    3600 গ)    4200 ঘ)    4500

ব্যাখ্যা (Explanation)

 

Let salary =x

Monthly Savings = x-(.2x+.3x+.25x) = .25x

A.T.Q,

.25x = 3500

x =14000

apartment rent = 14000 ×.3 =4200

 

১৫

    Two numbers when divided by a certain divisor leave remainders of 271 and 159 respectively. When the sum of these two numbers is divided by the same divisor the remainder what is the divisor?

ক)     205 খ)    237 গ)    283 ঘ)    258

ব্যাখ্যা (Explanation)

 

Let two numbers a and b

divisor = p

a = mp+271

b= np+15

a+b=p(m+n)+430

A.T.Q,

p+147 = 430

p = 283

 

১৬

    If it takes Sahel 6 days to paint the apartments of a building and it takes Kamal 8 days to do the same job, how long would it take to do the job if both painters worked together simultaneously?

ক)    24/7 days খ)    18/7 days গ)    327 days ঘ)    48/7

ব্যাখ্যা (Explanation)

 

Both work in 1 days,

1/6+1/8=7/24

7/24 part can be done in 1 days

1 part can be done in  7/24 days

 

১৭

    A vendor sells 60 percent of mangoes distributes 15 percent of the remainder to the poor. Next day he sells 50 percent of remainder and distributes the rest to the poor What percent of his mangoes did vendor distribute to the poor in two days?

ক)    25% খ)    27% গ)    34% ঘ)    23%

ব্যাখ্যা (Explanation)

 

Let Total mango x

 First day Sell .6x

remaining (x-.6x)=.4x

distribute to the poor =.15 ×.4x = .06x

remaining .4x-.06x = .34x

In Next day,

sell = .34x ×.5 =.17x

distribute to the poor =.34x -.17x = .17x

Total distribute to the poor  (.17x+.06x) = .23x

 

 

১৮

    If the area of a square with sides of length 8 centimeters is equal to the area of a rectangle with a width of 4 centimeters, What the perimeter of the rectangle in centimeters?

ক)    20 খ)    3 গ)    40 ঘ)    16

১৯

    if 2 /x =5 and 3/y= then x-y-?

ক)    4/15 খ)    3/5 গ)    1/5 ঘ)    1/3

ব্যাখ্যা (Explanation)

 

 2 /x =5 

x= 2/5

3/y=15

y=1/5

x-y = 2/5-1/5 = 1/5

 

২০

    If p<q<r<s then which of the following must be true?

ক)    Rs>pq খ)    ps>qr গ)    (q-p)<(s-r) ঘ)    (q-p)>(s-r)

২১

    A certain integer n when divided 5 yields a remainder of Which of these cannot be an Integer?

ক)    n/ 17 খ)    n/10 গ)    none of these ঘ)    n/ 14

২২

    x can easily reach his office in time because of less traffic in the road in the morning. But due to traffic jam in the afternoon. his return trip requires 40 minutes more than his trip to office from home Find the distance between the office and the home if the average speed when going to office 60 km/hr and average speed when returning home is 30km/hr

ক)     32kms খ)    40kms গ)    48kms ঘ)    52kms

২৩

    Faruk can complete a job in 12 hours and Jamal can complete the same job in 8 hours. Faruk starts the job at 9 and stop  working at 3 pm. if Jamal start working at 4 pm to complete the job, at what time the job finished?

ক)     12p.m. খ)    8 p.m. গ)    10p m ঘ)    6 p.m.

২৪

    An NGo hired some volunteers. If 55% of the volunteers hired were male, and the remaining 180 were female, how many volunteers were hired?

ক)    450 খ)    480 গ)    none of these ঘ)    320

২৫

    The average of x and y is 40 and the average of y and z is 35, what is the value of x- z?

ক)    20 খ)    5 গ)    10 ঘ)    15

২৬

    If n is an integer greater than 5, then factorial n (n!) must be divisible by which of the following numbers?

ক)    12 খ)    14 গ)    13 ঘ)    11

২৭

    The sum of 7/8 and 1/9 is between  

ক)     1/2 and 3/4 খ)    3/4 and  5/4 গ)    5/4 and 3/2 ঘ)    3/2 and 2

২৮

    Three years ago, Babu was two times as old as of Ashraf Six years ago. Babu's age one half of that of Sharif If s represents Sharifs current age, which of the following represents Ashraf s current age?

ক)     s/ 3-3 খ)    none of the গ)    3 ঘ)     S/ 4-3

২৯

    Given that x and y are integers and x+ y< and x >5, what is the smallest possible value of x-y?  

ক)    2 খ)    3 গ)    0 ঘ)    none of these

৩০

    The radius of a circle is decreased by By what percent will its area decrease?  

ক)    10 খ)    125 গ)    175 ঘ)    19