NCC Bank Ltd. 2011 (MTO)

(4^√p × 16^pq × 2^-2^√p)/ (8^√q × 4^pq × 2^-3^√q) × 4^-pq

ক) 1 খ) 2 গ) 3 ঘ) 5

ব্যাখ্যা (Explanation)

(4√p × 16pq × 2-2√p)/ (8√q × 4pq × 2-3√q) × 4-pq

= (22√p* 24pq * 2-2√p)/ (23√q *22pq * 2-3√q) * 2-2pq

Rashed can stuff advertising circulars into envelopes at the rate of 45 envelopers per minute and Reena requires a minute and a half to stuff the same number of envelopes. Working together, how long will it take Rashed and Reena to stuff 300 envelopes?

ক) 15 minutes খ) 4 minutes গ) 3 minutes 30 seconds ঘ) 3 minutes 20 seconds

ব্যাখ্যা (Explanation)

in 60 seconds Rashed can stuff 45 envelope in 1 seconds Rashed can stuff 45/60=3/4 envelope again, in 90 seconds Reena can stuff 45 envelope in 1 seconds Reena can stuff 45/90=1/2 envelope

Together in one second they can stuff=(3/4+1/2)=5/4 envelope they can stuff 5/4 envelope in 1 second they can stuff 1 envelope in 1X4/5 second they can stuff 300 envelope in 1X4X300/5 second=240 second=4 minutes

If the price of an item is increased by 10% and then decreased 10% , the net effect on the price of the item is---

ক) an increase of 99% খ) an increase of 1% গ) no change ঘ) a decrease of 1%

ব্যাখ্যা (Explanation)

at 10% increase, if previous price 100 then current price (100+10)=110 tk at 10% decrease, if previous price 100 then current price (110-11)=99 tk so, net effect on the price of the item is a decrease of 1%

(4+√5)(4-√5) is equal to:

ক) -1 খ) 0 গ) 11 ঘ) 21

ব্যাখ্যা (Explanation)

(4+√5)(4-√5) =(4)2-(√5)2 =16-5 =11

A certain machine produces 8 toys every 4 seconds. If the machine operates without interruption, how many toys will it produce in 2 minutes?

ক) 60 খ) /120 গ) 240 ঘ) 480

ব্যাখ্যা (Explanation)

here, 2 minutes=120 seconds in 4 seconds produce 8 toys in 1 seconds produce 8/4 toys in 120 seconds produce 8X120/4 toys=240 toys

If the total sales for a business in a certain year were Tk. 150000 what were the sales in June, if June sales were half the monthly average?

ক) Tk. 6250 খ) Tk. 12500 গ) Tk. 15000 ঘ) Tk. 25000

ব্যাখ্যা (Explanation)

here, yearly sales =150000 tk so, monthly sales=150000/12=12500 tk. then,the sales in June, if June sales were half the monthly average=12500/2=6250 tk

In the last decade there has been a significant decrease in coffee consumption. During this same time, there has been increasing publicity about the caffeine in cofee’s adverse long-term effect on health. Therefore, the decrease in coffee consumption must have been caused by consumers’ awareness of the harmful effects of caffeine. Which of the following if true, most seriously calls into question the explanation above?

ক) On average, people consume 30 percent less coffee today than they did 10 years ago. খ) Heavy coffee drinkers may have mild withdrawal symptoms, such as headaches, for a day of so after significantly decreasing their coffee consumption. গ) Sales of specialty types of coffee have held steady as sales of regular brands have decade. ঘ) Coffee prices increased steadily in the past decade because of unusually severe frosts in coffee growing nations.

A company’s two divisions performed with remarkable consistency over the past three year. In each of those years, the pharmaceuticals division has accounted for roughly 20 percent of taka sales and 40 percent of profit and the chemicals division for the balance. Regarding the past three years, which of the following can properly be inferred from the statement above?

ক) Total taka sales for each of the company’s divisions have remained roughly constant. খ) The pharmaceuticals division has faced stiffer competition in its market than has the chemicals division. গ) The chemicals division has realized lower profits per taka of sales than has the pharmaceuticals division. ঘ) The product mix offered by each of the company’s divisions has remained unchanged

Answer the question on the basis of the information given below: H, J, K, L, M, N and O are the only legislator eligible to vote on Bills 1, 2 and 3 each of which will be passed if at least four legislators vote in favor of it. Each legislator must vote on all three bills; no abstentions are possible. The following is known: # H must vote against all three bills; each of the other legislators must vote in favor of at least one bill and against at least one bill. # J must vote against Bill # O must vote against Bills 2 and # L must vote the same way that K does on all three bills. # N must vote the same way that O does on all three bills. Q-5: If M votes the same way that O does on all bills, which of the following can be determined?

ক) Bill 1 will be passed খ) Bill 1 will be defeated গ) Bill 2 will be passed ঘ) Bill 2 will be defeated

Answer the question on the basis of the information given below: H, J, K, L, M, N and O are the only legislator eligible to vote on Bills 1, 2 and 3 each of which will be passed if at least four legislators vote in favor of it. Each legislator must vote on all three bills; no abstentions are possible. The following is known: # H must vote against all three bills; each of the other legislators must vote in favor of at least one bill and against at least one bill. # J must vote against Bill # O must vote against Bills 2 and # L must vote the same way that K does on all three bills. # N must vote the same way that O does on all three bills. Q-4: If any bill is to be passed, which of the following must be among the legistators who vote in favor of it?

ক) J খ) K গ) M ঘ) N

Answer the question on the basis of the information given below: H, J, K, L, M, N and O are the only legislator eligible to vote on Bills 1, 2 and 3 each of which will be passed if at least four legislators vote in favor of it. Each legislator must vote on all three bills; no abstentions are possible. The following is known: # H must vote against all three bills; each of the other legislators must vote in favor of at least one bill and against at least one bill. # J must vote against Bill # O must vote against Bills 2 and # L must vote the same way that K does on all three bills. # N must vote the same way that O does on all three bills. Q-3: Which of the following cannot be true?

ক) J and K vote in favor of the same bill. খ) J and O vote in favor of same bill. গ) J votes in favor of one bill and against two bills. ঘ) K votes in favor of two bills and against one bill.

Answer the question on the basis of the information given below: H, J, K, L, M, N and O are the only legislator eligible to vote on Bills 1, 2 and 3 each of which will be passed if at least four legislators vote in favor of it. Each legislator must vote on all three bills; no abstentions are possible. The following is known: # H must vote against all three bills; each of the other legislators must vote in favor of at least one bill and against at least one bill. # J must vote against Bill # O must vote against Bills 2 and # L must vote the same way that K does on all three bills. # N must vote the same way that O does on all three bills. Q-2: The maximum number of favorable votes that Bill 2 could receive is—

ক) Two খ) three গ) four ঘ) five

Answer the question on the basis of the information given below. H, J, K, L, M, N and O are the only legislator eligible to vote on Bills 1, 2 and 3 each of which will be passed if at least four legislators vote in favor of it. Each legislator must vote on all three bills; no abstentions are possible. The following is known: # H must vote against all three bills; each of the other legislators must vote in favor of at least one bill and against at least one bill. # J must vote against Bill # O must vote against Bills 2 and # L must vote the same way that K does on all three bills. # N must vote the same way that O does on all three bills. Q-1: Which of the following must vote in favor of Bill 1?

ক) J খ) K গ) L ঘ) M

Answer the question on the basis of the information given below.

Q-5: A person who has an income of Tk. 10000 pays what present (to the nearest present) of his or her income in taxes?

ক) 1 খ) 2 গ) 3 ঘ) 4

Answer the question on the basis of the information given below.

Q-4: The town has a population of The average income of a person who lives in the town is Tk. 3700 per year. What is the total amount paid in taxes by the people of this town? Assume each person pays tax on Tk.

ক) Tk. 37 খ) Tk. 3700 গ) Tk. 50000 ঘ) Tk. 185000

Answer the question on the basis of the information given below.

Q-3: Jafar paid Tk. 100 tax. If X was his income, which of the following statements is true?

ক) 0 < X < 4000 খ) 4000 < X < 6000 গ) 6000 < X < 8000 ঘ) 8000 < X < 10000

How much tax is due on an income of Tk. 7500?

Q-2: Your income for a year is Tk. You receive a raise so that next year income will be Tk. How much more will you pay in taxes next year if the tax rate remain the same?

ক) Tk. 70 খ) Tk. 180 গ) Tk. 210 ঘ) Tk. 700

Answer the question on the basis of the information given below.

Q-1: How much tax is due on an income of Tk. 7500?

ক) Tk. 75 খ) Tk. 80 গ) Tk. 125 ঘ) Tk. 210

A book sells for Tk. This price gives the seller a profit of 30% on his cost. What will be the new selling price if he cuts his profit to 10% of its cost?

ক) Tk. 55 খ) Tk. 100 গ) Tk. 90 ঘ) Tk. 70

A basketball team has won 15 games and lost If these games represent 16(2/3) percent of the games to the played, then how many more games must the term win to average 75 percent for the season?

ক) 28 খ) 102 গ) 98 ঘ) 70

A person earns yearly interest of Tk. 920 by investing Tk. X at 4% and Tk. Y at 5% simple interest rate. If he had invested Tk. X at 5% and Tk. Y at 4% simple interest rate, then his yearly interest earning would have been reduced by Tk. Find out the amount of X and Y.

ক) Tk. 8000 & Tk. 12000 খ) Tk. 18000 & Tk. 15000 গ) Tk. 29000 & Tk. 12000 ঘ) Tk. 8500 & Tk. 12600

At a certain party attended by 32 people, 24 were students. If 12 of those in attendance were women, and if 6 of the women in a attendance were students, then how many of the men who attended the party were not students?

ক) 2 খ) 4 গ) 8 ঘ) 12

In the figure , PS is perpendicular to QR. If PQ = PR==26 and PS =24 then QR=?

ক) 14 খ) 16 গ) 18 ঘ) 20

The sum of daily income of P, Q and R is Tk. If Q earns Tk. 10 more than P and R earns double of what Q earns, then what is the average of daily income of P and Q?

ক) 15 খ) 20 গ) 25 ঘ) 30

If n and p are both odd numbers which of following numbers must be an even number?

ক) np খ) n+p গ) np+2 ঘ) n+p+1

Mahmud is standing 180 yards due north of point P. Antara is standing 240 yards due west of point P. What is the shortest distance between Mahmud and Antara?

ক) 60 yards খ) 300 yards গ) 420 yards ঘ) 900 yards

If interest on a savings account is paid monthly at an annual rate of 6(1/4) percent and if the interest is not reinvested, then in how many years will the total amount of interest earned equal the amount of money saved in the account?

ক) 36 খ) 24 গ) 18 ঘ) 16

A computer is usually chosen because of its simplicity of operation and ease of maintenance _____ its capacity to store information.

ক) the same as খ) the same গ) as well as ঘ) a well

Neptune is an extremely cold planet and ______

ক) so does Uranus খ) so has Uranus গ) So is Uranus ঘ) Uranus so

Not until a student has mastered algebra ____ the principles of geometry, tringonometry and physics.

ক) he can begin to understand খ) can be begin to understand গ) he begins to understand ঘ) begins to understand

ব্যাখ্যা (Explanation)

বাক্যটিতে একটি subject রয়েছে অর্থাৎ একজনের কথা বলা হয়েছে তাই এখানে he দেয়ার প্রয়োজন নেই । can be begin to understand বসিয়ে বাক্যের অর্থ হয় - Not until a student has mastered algebra can be begin to understand the principles of geometry, tringonometry and physics = একজন শিক্ষার্থী বীজগণিত আয়ত্ত না করা পর্যন্ত জ্যামিতি, ত্রিকোণমিতি এবং পদার্থবিজ্ঞানের নীতিগুলি বুঝতে শুরু করা যাবে না

প্রথম ৩০টি প্রশ্নের ব্যাখ্যা ওয়েবসাইটে; সবগুলোর সম্পূর্ণ ব্যাখ্যা পেতে অ্যাপ ইন্সটল করুন।

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এই টপিকের সব প্রশ্ন ব্যাখ্যাসহ, ভুল-সঠিক-বুকমার্ক আলাদা করে রিভিশন — অ্যাপে।