Bangladesh Bank - Assistant Director - 2016

মোট প্রশ্ন: ৮৪

পূর্ববর্তীপৃষ্ঠা ৩ এর ৫পরবর্তী
৪১

Choose the number pair/group which is different from others .

ক.
50-66
খ.
32-48
গ.
64-88
ঘ.
63-77
✓ সঠিক উত্তর
বিষয়: গণিতরেফারেন্স: Bangladesh Bank - Assistant Director - 2016
৪২

If A = 26, SUN = 27, then CAT = ?

ক.
24
খ.
27
গ.
57
✓ সঠিক উত্তর
ঘ.
58
বিষয়: গণিতরেফারেন্স: Bangladesh Bank - Assistant Director - 2016
৪৩

How many sons does X have ? I. Q and U are brothers of T. II. R is sister of P and U. III. Rand Tare daughters of X

ক.
Only I and II
খ.
Only II and III
গ.
All I , II and III
ঘ.
I, II and III together are not sufficient
✓ সঠিক উত্তর
বিষয়: গণিতরেফারেন্স: Bangladesh Bank - Assistant Director - 2016
৪৪

If A + B = 2C and C + D = 2A , then

ক.
A + C = B + D
✓ সঠিক উত্তর
খ.
A + C = 2D
গ.
A + D = B + C
ঘ.
A + C = 2B

ব্যাখ্যা

A + B = 2C
বিষয়: গণিতরেফারেন্স: Bangladesh Bank - Assistant Director - 2016
৪৫

Arrange the following in a logical order : 1. Euphoria 2. Happiness 3. Ambivalence 4. Ecstasy 5. Pleasure

ক.
1, 4, 2, 5,3
খ.
2,1, 3, 4, 5
গ.
3, 2, 5, 1, 4
✓ সঠিক উত্তর
ঘ.
4, 1, 3, 2, 5
বিষয়: গণিতরেফারেন্স: Bangladesh Bank - Assistant Director - 2016
৪৬

In a class of 60, where girls are twice that of boys , Kamal ranked seventeenth from the top . If there are 9 girls ahead of Kamal , how many boys are after him in rank ?

ক.
3
খ.
7
গ.
12
✓ সঠিক উত্তর
ঘ.
23

ব্যাখ্যা

Let, No. of boys = x
As per question,
x + 2x = 60
∴ x = 20

∴ No. of boys = 20 and No. of girls = 40

As Kamal ranked 17th from the top, so there are 16 students ahead of him (including 9 girls).
that means, there are 7 boys and 9 girls ahead of Kamal.

Now, till 17th there are (7 boys + Kamal) = 8 boys
So, remaining boys that ranked after Kamal = (20-8) = 12 boys (Ans:)
 
বিষয়: গণিতটপিক: সম্ভাব্যতা (Probability)রেফারেন্স: Bangladesh Bank - Assistant Director - 2016
৪৭

A, B and C are sisters . D is the brother of E . and E is the Daughter of B. How is A related to D ?

ক.
Sister
খ.
Cousin
গ.
Niece
ঘ.
Aunt
✓ সঠিক উত্তর
বিষয়: গণিতরেফারেন্স: Bangladesh Bank - Assistant Director - 2016
৪৮

The smallest 6-digit number exactly divisible by 111 is

ক.
111111
খ.
110011
গ.
100011
✓ সঠিক উত্তর
ঘ.
110101

ব্যাখ্যা

The smallest 6 - digit number is 100000
On dividing 100000 by 111, we get 100 as remainder.
So, the number to be added = (111 - 100) = 11
Hence, the required number = 100011
বিষয়: গণিতরেফারেন্স: Bangladesh Bank - Assistant Director - 2016
৪৯

The ratio of two numbers is 3:4 and their H.C.F. is 4 . Their L.C.M. is :

ক.
12
খ.
16
গ.
24
ঘ.
48
✓ সঠিক উত্তর

ব্যাখ্যা

Let the numbers be 3x and 4x. Then, their H.C.F. = x. So, x = 4
So, the numbers 12 and 16
L.C.M. of 12 and 16 = 48
বিষয়: গণিতটপিক: অনুপাত-সমানুপাত (Ratio-Proportion)রেফারেন্স: Bangladesh Bank - Assistant Director - 2016
৫০

What decimal of an hour is a second ?

ক.
0.0025
খ.
0.0256
গ.
0.00027
✓ সঠিক উত্তর
ঘ.
0.000126
বিষয়: গণিতরেফারেন্স: Bangladesh Bank - Assistant Director - 2016
৫১

What mathematical operation should come at the place of '?' in the equation : 2 ? 6 - 12 ÷ 4 + 2 = 11

ক.
+
খ.
-
গ.
×
✓ সঠিক উত্তর
ঘ.
÷

ব্যাখ্যা

(2 x 6 ) - (12 ÷ 4 ) + 2 = 11
বিষয়: গণিতরেফারেন্স: Bangladesh Bank - Assistant Director - 2016
৫২

The average of five consecutive odd numbers is 61. What is the difference between the highest and lowest numbers ?

ক.
2
খ.
5
গ.
8
✓ সঠিক উত্তর
ঘ.
None of these

ব্যাখ্যা

Let the numbers be x, x + 2, x + 4, x + 6 and x + 8.
বিষয়: গণিতটপিক: গড় (Average)রেফারেন্স: Bangladesh Bank - Assistant Director - 2016
৫৩

Two numbers are such that the ratio between them is 4:7 . If each is increased by 4, the ratio becomes 3:5 . The larger number is :

ক.
36
খ.
48
গ.
56
✓ সঠিক উত্তর
ঘ.
64
বিষয়: গণিতটপিক: শতকরা (Percentage)রেফারেন্স: Bangladesh Bank - Assistant Director - 2016
৫৪

A person's present age is two-fifth of the age of his mother. After 8 years , he will be one-half of the age of his mother . How old is the mother at present ?

ক.
32 years
খ.
36 years
গ.
40 years
✓ সঠিক উত্তর
ঘ.
48 years
বিষয়: গণিতটপিক: বয়স (Ages)রেফারেন্স: Bangladesh Bank - Assistant Director - 2016
৫৫

If 25% of a number is subtracted from a second number, the second number reduces to its five-sixth .What is the ratio of the first number to the second number ?

ক.
1:3
খ.
2:3
✓ সঠিক উত্তর
গ.
3:2
ঘ.
None of these
বিষয়: গণিতটপিক: শতকরা (Percentage)রেফারেন্স: Bangladesh Bank - Assistant Director - 2016
৫৬

The ages of A and B are in the ratio 3:1 . Fifteen years hence , the ratio will be 2:1 . Their present ages are :

ক.
30 years , 10 years
খ.
45 years , 15 years
✓ সঠিক উত্তর
গ.
21 years , 7 years
ঘ.
60 years , 20 years
বিষয়: গণিতটপিক: অনুপাত-সমানুপাত (Ratio-Proportion)রেফারেন্স: Bangladesh Bank - Assistant Director - 2016
৫৭

Aunik, Kamal and Jamal invested TK. 8000, TK. 4000 and TK. 8000 respectively in a business . Aunik left after six months. If after eight months, there was a gain of TK. 4005, then what will be the share of Kamal ?

ক.
TK. 890
✓ সঠিক উত্তর
খ.
TK. 1335
গ.
TK. 1602
ঘ.
TK. 1780

ব্যাখ্যা

Aunik's share=8000×6=48000 [as he left after 6 months]
Kamal's share=4000×8=32000
Jamal's share=8000×8=64000
বিষয়: গণিতরেফারেন্স: Bangladesh Bank - Assistant Director - 2016
৫৮

15 men take 21 days of 8 hours each to do a piece of work. How many days of 6 hours each would 21 women take , if 3 women do as much work as 2 men ?

ক.
18
খ.
20
গ.
25
ঘ.
30
✓ সঠিক উত্তর

ব্যাখ্যা

3 women can do as much work as 2 men
বিষয়: গণিতটপিক: ঐকিক নিয়ম (Unitary method)রেফারেন্স: Bangladesh Bank - Assistant Director - 2016
৫৯

A is 30% more efficient than B . How much time will they, working together , take to-complete a job which A alone could have done in 23 days ?

ক.
11 days
খ.
13 days
✓ সঠিক উত্তর
গ.
21 days
ঘ.
None of these
বিষয়: গণিতরেফারেন্স: Bangladesh Bank - Assistant Director - 2016
৬০

One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in :

ক.
81 min
খ.
108 min
গ.
144 min
✓ সঠিক উত্তর
ঘ.
192 min

ব্যাখ্যা

Let the slower pipe alone fill the tank in x min
Then, faster pipe will fill it in x/3​ min

So, slower pipe in 1 minute can fill = 1/x part of the tank
and faster pipe in 1 minute can fill = 3/x part of the tank
again, together in 1 minute can fill = 1/36 part of the tank

As per question,
1/x + 3/x = 1/36
∴ x = 144 min (Ans:)
বিষয়: গণিতটপিক: নল ও চৌবাচ্চা (Pipes and cistern)রেফারেন্স: Bangladesh Bank - Assistant Director - 2016
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