Mercantile Bank Ltd - Management Trainee Officer - 31.07.2015

মোট প্রশ্ন: ৫৪

২১

The ratio of the age of a man and his wife is 4:3. At the time of their marriage the ratio was 5:3 and after 4 years this ratio will become 9:7. How many years ago were they married?

.
12 years
✓ সঠিক উত্তর
.
6 years
.
3 years
.
2 years
বিষয়: গণিতটপিক: অনুপাত-সমানুপাত (Ratio-Proportion)রেফারেন্স: Mercantile Bank Ltd - Management Trainee Officer - 31.07.2015
২২

The area of a rectangular plot is 460 square metres, if the lenght is 15% more than the breadth, what is the breadth of the plot?

.
14 metres
.
20 metres
✓ সঠিক উত্তর
.
24 metres
.
28 metres

ব্যাখ্যা

Let, breadth = x metres
Then length = [Math Processing Error]
15x100 metres
So, x × Unknown node type: br115x100 = 460
115x2 = 46000
x2 = 400
x = 20
বিষয়: গণিতটপিক: পরিমিতি (Mensuration)রেফারেন্স: Mercantile Bank Ltd - Management Trainee Officer - 31.07.2015
২৩

Hasib took a loan of 1400 tk with simple interest for as many years as the rate of interest. If he paid 126 th as interest at the end of the loan period , what was the rate of interest?

.
3%
✓ সঠিক উত্তর
.
6%
.
9%
.
12%

ব্যাখ্যা

Let rate = R% and time = R years
Then  1Unknown node type: br400 × R×R100
= 126
14R2 = 126
R2 = 9
R = 3
বিষয়: গণিতটপিক: সরল ও যৌগিক মুনাফা  (Simple & Compound interest)রেফারেন্স: Mercantile Bank Ltd - Management Trainee Officer - 31.07.2015
২৪

A batsman makes a score of 87 runs in the 17th ining and thus increases his average by 3. What is his average after 17th innings?

.
23
.
34
.
39
✓ সঠিক উত্তর
.
44

ব্যাখ্যা

Let the average after 17th match is x
then average before 17th match is x – 3
So, 16(x – 3) + 87 = 17x
x = 87 – 48 = 39
বিষয়: গণিতটপিক: শতকরা (Percentage)রেফারেন্স: Mercantile Bank Ltd - Management Trainee Officer - 31.07.2015
২৫

Two student appeared at an examination. One of them secured 9 makes more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are :

.
39, 30
.
41, 32
.
42, 33
✓ সঠিক উত্তর
.
43,34

ব্যাখ্যা

Let their marks be (x + 9) and x
Then, x + 9 = 56100 (x + 9 + x)
25(x + 9) = 14 (2x + 9)
3x = 99
x = 33
so, their marks are 42 and 33
বিষয়: গণিতরেফারেন্স: Mercantile Bank Ltd - Management Trainee Officer - 31.07.2015
২৬

A die is rolled twice. What is the probability of getting a sum equal to 9?

.
2/3
.
2/9
.
1/6
.
1/9
✓ সঠিক উত্তর

ব্যাখ্যা

Total number of out comes possible when a die is rolled = 6
Hence, total number of out comes possible when a die is rolled twice, n(s) = 6 × 6 = 36
E = Geting a sum of 9 when the two dice fell = {(3,6), (4,5), (5,4), (6,3)}
Hence n (E) = 4
P(E) = n(E)nUnknown node type: br(S)= 436 =Unknown node type: br 19
বিষয়: গণিতটপিক: সম্ভাব্যতা (Probability)রেফারেন্স: Mercantile Bank Ltd - Management Trainee Officer - 31.07.2015
২৭

Two tanks A and B are filled with petrol. Tank A holds 600 liters more than B. If 100 liters of petrol were taken out from each tank, tank A would then contain 3 times as much petrol as tank B. What is the total number of liters of fuel in the two full tanks?

.
1400
✓ সঠিক উত্তর
.
1200
.
1000
.
900

ব্যাখ্যা

Let, B has x litres, So A has (x + 600) litres
Accordly to the question,
(x + 500) = 3 (x - 100)
x + 500 = 3x – 300
800 = 2x
x = 400
And total = 400 + 600 + 400 = 1400 litres.
বিষয়: গণিতটপিক: নল ও চৌবাচ্চা (Pipes and cistern)রেফারেন্স: Mercantile Bank Ltd - Management Trainee Officer - 31.07.2015
২৮

Six bells starts ringing logether and ring at intervals of 4, 8, 10, 12, 15 and 20 seconds respectively. How many times will they ring together in 60 minutes?

.
15
.
16
.
30
.
31
✓ সঠিক উত্তর

ব্যাখ্যা

LCM of 4, 8, 10, 12, 15 and 20 = 120
120 seconds = 2 minutes
Hence all the bells will ring together in every 2 minutes
Hence, number of times they will ring together in 60 minutes = 1 + 602
= 31
বিষয়: গণিতরেফারেন্স: Mercantile Bank Ltd - Management Trainee Officer - 31.07.2015
২৯

Rakid lives 4km due west of Faisal's house. Asif lives 6km due north of Faisl's house and 4km due west of Hamed's house. What is the minimum distance from Rakib's house to Hamed's house?

.
4km
.
5km
.
8km
.
10km
✓ সঠিক উত্তর

ব্যাখ্যা

Look at the picture below:
So, distance 82+62 = 100 =10km
বিষয়: গণিতরেফারেন্স: Mercantile Bank Ltd - Management Trainee Officer - 31.07.2015
৩০

If a certain product that sells normally at 59 taka is on sale at two for 99 taka, then how much can Fahim save by purchasing 10 of that product?

.
85 taka
.
90 taka
.
95 taka
✓ সঠিক উত্তর
.
110 taka

ব্যাখ্যা

At two for 99 taka, two price of 10 product = 5 ×  99 = 495 tk
at original price ,, ,, ,, 10 ,, = 10 ×  59 = 590 tk
he saves = 590 – 495 = 95 tk.
বিষয়: গণিতরেফারেন্স: Mercantile Bank Ltd - Management Trainee Officer - 31.07.2015
৩১

From the profits of a certain investment, Faisal got 1/3 of the total profit and three of his friends each got 1/3 of the rest. If Faisal and one of his friends got a total of 60000 taka, what was the total profit?

.
90000 taka
.
96000 taka
.
108000 taka
✓ সঠিক উত্তর
.
135000 taka

ব্যাখ্যা

Let, total profit be taka x
Faisal get taka x3
So, each of the friends get 13x - x3 = 2x9
So [Math Processing Error]
2x9 = 60,000
5x9 = 60,000
x = 60,000×Unknown node type: br95
x = 1,08,000
বিষয়: গণিতটপিক: লাভ-ক্ষতি (Profit and loss)রেফারেন্স: Mercantile Bank Ltd - Management Trainee Officer - 31.07.2015
৩২

A water tank with 64-gallon capacity is filled by pipe A and emptied by pipe B. If the rate of water flow through pipe A is 2 gallons per hour, how many gallons per hour should flow through pipe B so that when both pipes are open, the initially empty tank shold be full in exactly 96 hours?

.
3/8
.
4/3
✓ সঠিক উত্তর
.
2/3
.
8/3

ব্যাখ্যা

Let, x gallons per hour should flow through pipe B
In 1 hour A flouss 2 gallons
,, 96 hour A ,, (96
× 2) ,, = 192 ,,
So 192 – 96x = 64
 x = 
192  -  64 96 
=  43
বিষয়: গণিতটপিক: নল ও চৌবাচ্চা (Pipes and cistern)রেফারেন্স: Mercantile Bank Ltd - Management Trainee Officer - 31.07.2015
৩৩

If x is an integer divisible by 6 but not by 4, then which of the following CANNOT be an integer?

.
n/2
.
n/3
.
n/12
✓ সঠিক উত্তর
.
n/10

ব্যাখ্যা

Numbers that are divisible by 6 but not 4 are : 6, 18, 30 ..... all there numbers when divided by 12 cannot be an integer.
বিষয়: গণিতরেফারেন্স: Mercantile Bank Ltd - Management Trainee Officer - 31.07.2015
৩৪

Three friends each contributed 8000 taka to buy a computer. If they bought the computer for 19500 taka plus 10% tax, how much money will each of them get back from the inital contribution?

.
1950 taka
.
1500 taka
.
850 taka
✓ সঠিক উত্তর
.
650 taka

ব্যাখ্যা

8000 × 3 = 24000 tk
19500 + 10% of 19500 = 21450 tk
21450 + 3 = 7150 tk
So, each of them get back Tk (8000 – 7150) = Tk 850
বিষয়: গণিতরেফারেন্স: Mercantile Bank Ltd - Management Trainee Officer - 31.07.2015
৩৫

Rahat completes a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.

.
121 km
.
242 km
.
112 km
.
224 km
✓ সঠিক উত্তর
বিষয়: গণিতটপিক: ঐকিক নিয়ম (Unitary method)রেফারেন্স: Mercantile Bank Ltd - Management Trainee Officer - 31.07.2015
৩৬

In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is two-third of the number of students of 8 years of age which is 48. what is the total number of students in the school?

.
72
.
60
.
80
.
100
✓ সঠিক উত্তর

ব্যাখ্যা

Let, the number be x then
Number of students above 8 years age = (100 - 201% of x) = 80% of x
48 +  23 of 48
80100 x = 80
x = 100
বিষয়: গণিতটপিক: সেট (Set)রেফারেন্স: Mercantile Bank Ltd - Management Trainee Officer - 31.07.2015
৩৭

Which of the following uses of 'except' is INCORRECT?

.
Except for Raihan, nobody came.
.
Everybody understands except me.
✓ সঠিক উত্তর
.
Except for the noise of Tina's typing, the room was quiet.
.
Except for your help, I would have failed

ব্যাখ্যা

Except for me হবে।
বিষয়: ইংরেজিটপিক: Correctionsরেফারেন্স: Mercantile Bank Ltd - Management Trainee Officer - 31.07.2015
৩৮

Fill in the gap : The management's -----from fiscal ----has led the company to bankruptcy.

.
avoidance ---propensity
.
dislike --debt
.
retreat---responsibility
✓ সঠিক উত্তর
.
devotion ---prudence

ব্যাখ্যা

Retreat (পশ্চাদপসরণ); responsibility (দায়িত্ব) থেকে সরে এসেছিল বলেই bankruptcy (দেউলিয়া) হতে হয়েছে।
বিষয়: ইংরেজিটপিক: Englishরেফারেন্স: Mercantile Bank Ltd - Management Trainee Officer - 31.07.2015
৩৯

Fill in the gap : The couple was so ----with the interior designing of the apartment that they overlooked the structural ----.

.
carried away ---deficiencies
✓ সঠিক উত্তর
.
exasperated ---amenities
.
blown away --amenities
.
erried ahead---ambiguities

ব্যাখ্যা

Carried away (আসক্ত, মুগ্ধ, মোহিত); deficiency (ত্রুটি)। Design দেখে মুগ্ধ হয়েছিল তাই Structural ত্রুটি overlook (উপক্ষা করেছিল)।
বিষয়: ইংরেজিটপিক: Englishরেফারেন্স: Mercantile Bank Ltd - Management Trainee Officer - 31.07.2015
৪০

Which of the following sentence construction is INCORRECT?

.
Nobody called, did they?
.
Open the door, would you?
✓ সঠিক উত্তর
.
He is your brother, isn't he?
.
The meeting is at 10, isn't it?

ব্যাখ্যা

Won’t you হবে।
বিষয়: ইংরেজিটপিক: Correctionsরেফারেন্স: Mercantile Bank Ltd - Management Trainee Officer - 31.07.2015