সম্প্রতি বিভিন্ন নিয়োগ পরীক্ষায় আসা গণিত প্রশ্ন ও উত্তর

28 Feb 2021

বাংলাদেশ কৃষি ব্যাংক অফিসার ২০১৭

# If n is an even integer, which of the followings must be an odd integer, 

7n - 2 /// 5(n -2) ///(16n+24)/8///(6n+12)/3

Ans: (16n+24)/8 

# Tamim runs diagonally across a rectangular field twice that has a length of 40 yards and a width of 30 yards. What is the length of the diagonal, in yards, that Tamim runs? 

50 yards ///70 yards /// 100 yards /// 600 yards

Ans: 50 yards  

# Solve the following inequality: -2x - 5 > x - 2 

x>1///x<-1///x < 1/// x > 3

Ans: x<-1

# In a class 78 students, 41 are taking French and 22 are taking German. Of the students taking French or German, 9 are taking both courses. How many students are not enrolled in either course? 

6///15///24/// 64

Ans: 24

# If 3-6 × 7 + 6 ÷4 = x, what is the value of x ? 

-3.75 /// 37.5///-37.5///-40.5

Ans:-37.5

# What is the next number in the series 3,18, 90, 360, ....? 

720 ///480 /// 1800 ///1080

Ans: 1080

# If the hour hand of a clock is turned anticlockwise from 2 pm to 9 am, thoroughly how many degrees will it have turned? 

210 ///570///150///510

Ans: 150

#One-third of a number is four times of eleven. What is the half of that number? 

66 ///44 ///132///264

Ans: 66 

 

#Average of 6 numbers is 8.5. When one number is discarded, the avenge of the remaining numbers , becomes 7.2. What is the discarded number?

 7.8/// 6.5 ///16 ///15

ans:15

#The business partners Rahim. Sohel and Karim agree to divide their Total profit for a certain year in the ratio 2:5:8. If Sohel’s profit was Taka 20,000 what was the total profit of the business for the year? 

Taka 800///Taka 32,000/// Taka 52,000///Taka 60,000

Ans:Taka 60,000

# What is the value of x in the figure below? 

36 ///5 ///20/// 10

Ans: B

(PICTURE WIIL BE GIVEN IN OUR SITE )

 

# Mr. A and Mr. B have a combined weekly salary of Taka 1,000. If salary of A is increased by 2.5 times and salary of B is increased by 1.5 times, the combined salary would be Taka 1600. What was the original salary of B? 

Taka 100///Taka 250///Taka 900/// Taka 1350

Ans: Taka 900

# Jahir has 15 red balls; he gives Sami 3 balls. Sami now has twice the number of balls Jahir has left. How many balls did Sami have at the beginning? 

24 ///12///27///21

Ans: 21

# When a number is divided by 5, The remainder is 3. If the square of this number is divided by 5 then What is the remainder? 

5 ///4///7///1

Ans:4

# The value of -3 -(-10) is how much greater than the value of -10 - (-3)? 

0 /// -7 ///7///14

Ans: 14

# If a photocopier makes 2 copies in 1/3 second, at the same rate, how many copies does it make in 4 minutes? 

1200/// 24 ///144///1440

Ans: 1440

# A pen is sold for Taka 48 with a 20% profit. What is the purchase price of the pen? 

32 ///40///48///57.6

Ans: 40

# A bank pays simple interest rate of 8% on investment. If you invest Taka 5,000 in the bank, how much money would you get after 8 years? 

9,255/// 3,200 /// 5,320 ///8,200

Ans: 8200

# If 16^2x+4 =4^3x+3 then x = ? 

- 5/// 1/// 3/// - 1

Ans: - 5

# If the length and width of a rectangular garden plot were each increased by 20% what would be the percent increase in the area of the plot? 

20%///44///144%/// 40%

Ans: 44%

#Find the slope of the line 5x - 5y = 7 

5 ///5/7 ///1///7/5

Ans: 1

# If a man walks 14 kilometer/hour instead of 10 kilometer/hour, he would have walked 20 kilometers more. The actual distance travelled by him is: 

30 kilometer///50 kilometer/// 80 kilometer///70 kilometer

Ans: 50 kilometer

 # In the coordinate plane, for which one of the following values of x would the graph of the equation y = x^3 -x^2-6x not touch thc x-axis? 

2///3 /// -2 ///0

Ans: 0

#How many 3-digit integers can be chosen such that none of the digits appear more than twice, none of the digits equal 0? 

 729///720/// 756/// 504

Ans:720.

সমাজসেবা অধিদপ্তর সহকারী শিক্ষক, ২০১৭

54. লুপ্ত সংখ্যাটি কত? ৮১,২৭........৩,১- ৯

56. ৯০ ডিগ্রী কোণের পূরক কোণ- ০ ডিগ্রী

57. ১ ঘন্টা ৪০ মিনিটি ৫ ঘন্টার- ১/৩ অংশ

58. ১,৯,২৫,৪৯,৮১........ ধারাটির পরবর্তী সংখ্যা- ১২১

59. কোন ভংগ্নাশটি ২/৩ থেকে বড়- ৮/১১

60. কোনটি মৌলিক সংখ্যা- ৭

61. টাকায় ৩ টি লেবু কিনে টাকায় ২টি বিক্রি করলে শতকরা লাভ- ৫০%

62. কোন সংখ্যার ৮গুন থেকে ২গুণ বিয়োগ করলে ৭২ হয়- ১২

63. কোন সংখ্যার ৪০% এর সাথে ৪২ যোগ করলে যোগফল হবে ঐ সংখ্যাটি- ৭০

64. যদি a+b= 2, ab= 1 হয় তবে a , b এর মান যথাক্রমে- ১,১

65. x>y এবং z<0 তবে কোনটি সঠিক- xz<yz< p=""></yz<>

66. 3,9, 4এর চতুর্থ সমানুপাতি কত- ১/৯ (অপশন ছিল: ১১/৮০, ১১/২০, ১/৯, ১/৮) 

67. একটি নৌকা স্রোতের অনুকূলে ৮ কি.মি স্রোতের প্রতিকূলে ৪কি.মি যায় তবে নৌকার বেগ কত- ৪ কি.মি (নৌকার গড় বেগ চাইলে উত্তর ৬.কি.মি হতো)

68. বাইনারি সংখ্যা পদ্ধতিতে কয়টি অংক ব্যবহৃত হয়- ২টি

69. ব্যংকে কত টাকা রাখলে ৮ শতাংশ হারে মুনাফায় ২ বছরের চক্রবৃদ্ধি মূলধন ৫২০০ টাকা হবে?- ৪৪৫৮.১৬ টাকা

70. লুপ্ত সংখ্যাটি কত? ৮১,২৭........৩,১- ৯।

Agrani Bank Senior Officer: Qusetion and Solution

Mathematics:

A and B together have Tk. 1210. If 4/15 of A’s amount is equal to 2/5 of B’s amount. What is amount B has?

484

5^-3 + 5^-3 + 5^-3 + 5^-3 + 5^-3 = ?

5^-2

If two angles are said to be complementary angles and one angle is of 52 degree then the other angle is of:

38

 

How many degrees are between the hands of a clock at 3:30?

75 degree

An angle which is less than 360 degree and larger than 180 is classified as:

Reflex angle

 

In a class 75% passed in English, 60% in Mathematics and 25% failed in both the subjects. What is the percentage who passed in both subjects?

60%

A person makes a profit of 10% on 25% of the quantity and a loss of 20% on the rest of the quantity. What is the gain or loss in percentage on the whole?

12.5%

Increasing the original price of an item by 10%, then decreasing by 20% and then again increasing the price by 10% is equivalent to:

3.2% decrease

In a row of trees, a tree is 7^th from the left and 14^th from the right end. How many trees are there in the row?

20

The average age of 12 children is 15 years. If another child comes the average age comes to 13. What is the age of the new child?

A train 150 meter long and running at a speed of 60 km per hour takes 30 seconds to cross a bridge. What is a length of the bridge?

350 meter

A dishonest shopkeeper professes to sell ghee at his cost price. But he uses a false weight of 950 g for a kilogram. His gain percentage is:

5.26

A sum of money at simple interest amounts to Tk. 2800 in 2 years and to Tk. 3250 in 5 years at a rate of:

6%

A dog takes 4 leaps for every 5 leaps of a hare but 3 leaps of the dog is equal to 4 leaps of the hare. Compare their speeds:

16:15

If x is 90% of y then what percent of x is y?

111.1

A room of size 5mx3m and height 3m requires walls and ceiling painting. What is the area to be painted?

63 sq.m

The length and breadth of a square are increased by 40% and 30% respectively. The area of the resulting rectangle exceeds the area of the square by:

82%

A husband and wife have six married sons. Each of them has four children. The total number in the family is:

38

A father is 61 and his son is 16. In how many years will the father be twice as old as his son?

 

What is 200% of 0.0010?

0.002

If 2x+y=7 and x-y=2, then x+y=?

 

For what value of x is 8^2x-4=16^x

6

On selling 17 balls at Tk. 720, there is a loss equal to the cost price of 5 balls. The cost price of a ball is:

Two fifth of one fourth of three seventh of a number is 15. What is the half of the number?

175

A gas tank is 1/5^th full and requires 32 gallons more to make it 3/7 full. What is the capacity of the tank?

140 gallons

A and B can do a piece of work in 9 days, B and C in 12 days, A and C in 18 days. If all of them work together, then how much time will they take to finish the same work?

A family had provision of food for 15 days. After 5 days 8 guests came and the provision lasted 6 days. How many are the members of the family?

Pubali Bank অ্যাসিসট্যান্ট অফিসার টেলার ২০১৭

26. (8÷88) × 8888088=?
Solution:
8/88×8888088
=8×101001
=808008

27. A and B started a business jointly. A’s investment was thrice the investment of B and the period of his investment was two times the period of investment of B. If B received Tk. 4000 as profit, then their total profit is:
Solution:
Here, A=3b
Also A’s period two times of B means A=3b×2=6b
So B’s profit= 4000
Therefore A’s profit 6b=4000*6=24000
Total 24000+4000=28000

28. 0.002×0.5=?
Solution: 0.001

29. If x/5=y/8, then (x+5): (y+8) is equal to:
Solution:
Here x/5=y/8 means: x:y = 5:8
So x+5=5+5=10
y+8=8+8=16
Now 10:16=5:8 (ans)

30. Rahim is 40 years old and Karim is 60 years old. How many years ago was the ratio of their ages 3:5?
Solution:
Let, x years ago
ATQ,
40-x/60-x=3:5 or 3/5
Or, 200-5x = 180x-3x
Or, 2x=20
x=10

31. A man buys an article for 10% less than its value and sells it for 10% more than its value. His gain or loss percent is:
Solution:
Let, book value = 100
Buying price at 10% less= 90
Selling price at 10% more= 110
Different = 20
When cost is 90 then profit is 20
When cost is 1 then profit is 20/90
When cost is 100 then profit is (20*100)/90
= 22%+ Ans: More than 20%

32. The difference between the place value and the face value of 6 in the number 856973 is
Solution:
Face value= 6
Place value=6000
Difference: 6000-6=5994

33. Which one of the following numbers is exactly divisible by 11?
Solution:
415624 = 4+1+5+6+2+4 = 22
Now 22/11 = 2

34. The mean of 50 observations was 36. It was found later that and observation 48 was wrongly taken as 23. The corrected new mean is:
Solution:
Total of 50 observations = 50*36=1800
1800-23=1777
1777+48=1825
Now mean = 1825/50=36.5

35. The simple interest on a certain sum of money at the rate of 5% p.a for 8 years is Tk. 840. At what rate of interest the same amount of interest can be received on the same after 5 years?
Solution:
Interest in per year= 840/8=105
Principle= 105/5*100=2100
Now new interest rate= (840*100)/(2100*5)=8%

 

36. The sum of three consecutive multiples of 3 is 72. What is the largest?
Solution:
Here n+n+3+n+6=72
n=21
Largest n+6=27

37. A car moves at the speed of 80 km/hr. what is the speed of the car in meters per second?
Solution:
80*5/18=22(2/9) m/sec

38. Find the greatest number that will divide 43,91, and 183 so as to leave the same reminder in each case.
Solution:
43/4=10 Reminder 3
91/4=22 Reminder 3
183/4=45 Reminder 3
Ans: 4

39. A shopkeeper purchased 70kg of potatoes for 420 and sold the whole lot at the rate of Tk 6.50 per kg. What will be his gain percent?
Solution:
Cost price per kg= 420/70= Tk. 6
Prifit= 6.50-6= 0.50
When cost is 6 then profit is 0.50
When cost is 100 then profit is 0.50*100/6
= 8(1/3)%

40. A man has some hens and cows. If the number of heads be 48 and the number of feet equals 140, then the number of hens will be:
Solution:
Let, hens number = x
ATQ,
x*2+(48-x)*4=140
2x+192-4x=140
2x=52
x=26

41. A and B can do a piece of work in 5 days; B and C can do in 7 days; A and C can do it in 4 days. Who among these will take the least time if put to do it alone?
Solution:
(A+B)s 1 days work = 1/4
and (A+C)’s 1 day’s work = 1/4
2(A+B+C)s 1 days work = (1/5 + 1/7 + 1/4) = 83/140
(A+B+C)s 1 days work = 83/280
Cs 1 days work = (83/280 - 1/5) = 27/280
As 1 days work = (83/280 - 1/7) = 43/280
Bs 1 days work = (83/280 - 1/4) = 13/280
Thus time taken by A, B, C is 280/43 days, 280/13 days, 280/27 days respectively.
Clearly, the time taken by A is least.

42. 49×49×49×49=7^?
Solution:
7^2×7^2×7^2×7^2
=7^2+2+2+2
=7^8? 
Ans: 8

43. After deducting a commission of 5%, a T.V set costs Tk. 9595. Its market price is:
Solution:
9595*100/95=10100

44. A merchant has 1000kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quantity sold at 18% profit is:
Solution:
Let, the quantity sold at 18% profit is = x
ATQ,
.18x + (1000-x).08= 1000*.14
.18x + 80 - .08x = 140
.10x=60
x=600

45. √.0025 * √2.25 * √.0001 = ?
Solution:
.05 * 1.5 * .01
= 0.00075

46. If doubling a number and adding 20 to the result gives the same answer as multiplying the number by 8 and taking away 4 from the product, the number is
Solution:
Let,
Number=x
According to the question,
2x+20=8x-4
6x=24
X=4

47. 4500 * ? = 3375
Solution:
3375/4500
3/4 (ans)

48. ½ is what percent of 1/3?
Solution:
(1/2)/(1/3)*100
=150%

49. In a dairy farm, 40 cows eat 40 bags of husk in 40 days. In how many days one cow will eat one bag of husk?
Solution:
40 cows eat 40 bags of husk in 40 days
1 cows eat 40 bags of husk in 40*40 days
1 cows eat 1 bags of husk in 40*40/40 days
Ans: 40

50. Solution: C

পূবালী ব্যাংক: সিনিয়র অফিসার, অফিসার ২০১৭ (গণিত)

1.Two trains of equal length are running on parallel lines in the same direction at 46  kilometre/hour and 36 kilometre/hour. The faster train pass to the slowest train in 36 seconds. The length of each train is-

Ans:50 m

 Let ,

the length of each train is x meter

Distance will be x+x = 2x

 

Relative Speed = 46-36 = 10 km/hr

= 10*(5/18) = 25/9 m/sec

 Distance = Speed*Time

Here,

2x = (25/9) X 36

or,x= 50 (Ans)

2.A man buys tk 20 shares paying 9% dividend.  The man wants to have an interest of 12% on his money. The market value of each share is-

 Ans: 15

 It is known that the formula is:

 (Dividend / market value) * face value = interest.

 or,Dividend / market value = interest / face value.

or,Face value * dividend = market value * interest.

 We put it up to this equation, become:

 20 * 9% = x * 12%.

1.8 = x * 12%.

1.8/12% = x.

15 = x.

3. By selling an article for  TK 100  a man gains tk 15 . then his gain percentage is -

 Here,

 Selling Price = tk 100,

Gain=Tk 15,

So , Buying or cost price =tk(100-15)

      =Tk 85,

therefore Gain % = `((15)/85x100)`%=`17(11)/17` %

 4.The age of a man is 3 times the sum of the age of his  two sons. 5 years hence, his age will be double of the sum of the ages of his sons the father's present age is-

 Ans:45

 Let ,

the sum of present ages of the two sons be x yeaTaka

Then,

Father’s present age = 3x yeaTaka

Here,

(3x + 5) = 2 (x + 10)

=>3x + 5 = 2x + 20

=>x = 15.

Hence, Father’s present age = 45 yeaTaka

 5. If   tk 64 amount to 83.20 in 2 years what will tk 86 amount  to in  4 years in the same rate percent per annum?

 P=Taka 64,  S.I. = Taka (83.20 - 64) = Taka 19.20, T = 2 years

So, rate = ( 100 x 19.20 )/ (64 x 2) % = 15%

Now, P = Taka 86, R= 15%, T = 4 years

S.I. =  Taka ( 86 x 15 x 14 )/100= Taka 51.60

6. A train travels at an average 50 miles per hour for 2.5 hours and then Travels at a speed of 70 miles per hour for 1.5 hours How far did the train travel in the entire 4 hours ?

7.0.04 X ? = 0.000016

Ans:0.0004

8. How many times in a day are the hands of a clock in straight line but opposite in direction?

Ans:22

The hands of a clock point in opposite directions (in the same straight line) 11 times in every 12 hours. (Because between 5 and 7 they point in opposite directions at 6 o'clcok only). So, in a day, the hands point in the opposite directions 22 times.

9. The sum of a number and its reciprocal is 1/8  of 34. what is the product of the number and its square root?

Ans:8

Explanation:

Let the number be x. Then,

x + 1/x = 34/8

8x2 - 34x + 8 = 0

4x2 - 17x + 4 = 0

(4x - 1)(x - 4) = 0

x = 4

required number = 4 * √4 = 4 * 2 = 8.

10. A sum of money invested at compound interest amounts to Taka 4624 in 2 years and 4913 in 3 years .The sum of money is

A sum of money invested at compound interest amounts to Rs 4624 in 2 yrs and Rs 4913 in 3 yrs. The sum of money is

Ans:4096 Taka

Explanation:

4913 = P [1 + r/100]³

4624 = P [1 + r/100]²

Divide both equations, find r

Put value of r in one of the equations to find P

11.if 75% of a number is added to 75. then the result is the number itself .  The some of the number is

Ans: 300

Here,

75% of x plus 75 = x

0.75x + 75 = x

Bring the variable terms to the left side of the equation by subtracting x from both sides.

-0.25x + 75 = 0

Bring the constant terms to the right side by subtracting 75 from both sides.

-0.25x = -75

Divide both sides by -0.25

x = 300

12. A rectangular field :be fenced on three sides leaving a side of 20 feet uncovered.if the area of the field is 680 square feet .how many feet of fencing will be required?

Ans:88 feet

We are given with length and area, so we can find the breadth.

as Length * Breadth = Area

=> 20 * Breadth = 680

=> Breadth = 34 feet

Area to be fenced = 2B + L = 2*34 + 20

= 88 feet

13.  Two pipes A and B can fill a cistern in 12 minutes and 15 minutes respectively while a third pipe C can empty the full tank in 6 minutes .A and B are kept open for 5 minutes in the beginning and then C  is also open. In what time is the cistern emptied -

Ans:45 minute

Part filled in 5 min = 5 * (1/12 + 1/15) = 5 * 9/60 = 3/4

Part emptied in 1 min when all the pipes are opened = 1/6 - (1/12 + 1/15) = 1/60

Now, 1/60 part is emptied in 1min

∴ 3/4 part will be emptied in 60 * 3/4 = 45 min

14.  The least number which is a perfect square and is divisible by each of the number is 16,20 and 24 is-

he least number which is divisible by 16,2016,20 and 2424 would be the LCM of three number .

 Ans:Here,

LCM (16,20,24)

=>4×2×2×5×3=>4×2×2×5×3

=> 4×4×5×3=240

Hence to make 240 a perfect square we need to multiply by 5×3 as they are not in pair.

=>240×5×3=>240×5×3

=>3600

15.  Gold is 19 times as heavy as water and copper is 9 times as heavy as water in what ratio should this be mixed to get an alloy r 15 times as heavy as water :

Ans:3:2

Let,

 the mass of 1 volume unit of water be 1. Then 1 volume unit of gold has mass 19, and 1 volume unit of copper has mass 9. 

Now let g be the volume of gold used, and let c be the volume of copper. The total mass divided by the total volume is the density. 

(19g + 9c)/(g + c) = 15 

19g + 9c = 15g + 15c 

4g = 6c 

2g = 3c 

g/c = 3/2 

The volume ratio is 3:2. 

16. the smallest prime number is-

Ans:2

17.  X can do a piece of work in 40 days he works at it for 8 days and then why finished it in 16 days. How long will they take  together take to complete the work

Ans:13 (⅓) days

Here,

X can the work in 40 days. He works at it for 8 days and that means he's finished a fifth of the work (1/5).

Now Y took 16 days to finish the rest of the work, which means he finished 4/5 th of the work in 16 days and will take 16 * 5/4 = 20 days to finish the work on a whole.

X  finishes 1/40 th of the work in one day. Y  finishs 1/20 th of the work in one day.

Since they work together their speeds add up and the time take t to complete the entire work W will be:

t = W / (Speed of X + Speed of Y) = W / (W/40 + W/20) = 1/ (1/40 + 1/20)

  = (40 * 20) / (40 + 20) = 800/60 = 40 / 3

 18.  In a 300 m race A beats B by 22.5 metre or 6 seconds. B's time over the course is -

Ans: 80

 B runs 22.5 m in 6 seconds

 => B runs 300 m in (6×300)/22.5 = 80 seconds

 B's time over the course = 80 seconds

 19.if the mean of 5 observations X, X + 2 ,X + 4, x + 6 and X + 8 is 11 then the mean of the last 3 observations is-

 First, you need to solve for x:

 (x + x + 2 + x + 4 + x + 6 + x + 8) / 5 = 11

x + x + 2 + x + 4 + x + 6 + x + 8 = 55

5x + 20 = 55

5x = 35

x = 7

Now, substitute for x in each of the last three terms:

 x + 4 + x + 6 + x + 8 = (7 + 4) + (7 + 6) + (7 + 8) = (11) + (13) + (15) = 39 / 3 = 13

The mean is 13.

20. A,B,C started business with their investment in the ratio 1 :3 :5 .After 4 month A invested the same amount as before  and B as well as C withdrew half  of their investment .The ratio of their profit at the end of the year is-

Ans: 5:6:10

Let their initial investments be x, 3x and 5x respectively.

 

 Then X : Y : Z = (x * 4 + 2x * 8) : (3x * 4 + 3x/2 * 8 ): (5x * 4 + 5x/2 * 8 )

                          = 20x : 24x : 40x

                          = 5 : 6 : 10

 21. √(√176 + √2401)  is equal to-

Ans:15

 22..  49 pumps can empty a reservoir n 6.5 days, working 8 hours a day . If 196 pumps are used for 5 hours each day ,then the same work will be completed in-

Ans: 2(⅗) day

 Let,

 the required number of days be x.

 Then,

More pumps, Less days (Indirect Proportion)

Less working hrs / day, More days (Indirect Proportion)

 Pumps =196 : 49

Working Hrs / Day =5 : 8 :: 13/2 : x 96 x 5 x x = 49 x 8 x 13/2 x = 49 x 8 x 13/2 x 1 / (196 x 5) x = 13/5

 সহকারী প্রোগ্রামার (নন-ক্যাডার) পদে (একাধিক পদে) নিয়োগ পরীক্ষার প্রশ্ন ও উত্তর - ২০১৭

৭৩। ১-১০০ পর্যন্ত মৌলিক সংখ্যা কতটি?

উ. ২৫

৭৪। তিনটি ক্রমিক সংখ্যার যোগফল ১৪৩। ক্ষুদ্রতম সংখ্যা দুটির গুণফল কত?

উ. উত্তর নেই / প্রশ্নে ভুল

৭৫। নিচের কোনটি মৌলিক সংখ্যা?

উ. ৫৯

জনতা ব্যাংক এক্সিকিউটিভ অফিসার ২০১৭ গণিত অংশের ব্যাখ্যাসহ সমাধান (বিকাল)

# The sum of two numbers is equal to thrice their difference. If the smaller of the number is 10.find the other number [Janata Bank (EO)-2017 (afternoon)]

a.15 
 b.20 
c.40 
d.None of these

Ans: (b)

Let the larger number is x 
ATQ, x+10 = 3(x-10) or, x+10 = 3x-30 or, -2x=-40 so, x = 20 Ans:

#  The average age of 8 men is increased by 2 years when one of them whose age is 24 years is replaced by a woman. What is the age of the woman [Janata Bank (EO)-2017 (afternoon)]

a.35years 
 b.28years 
c.32 years 
 d.40years

Ans: (d)
৮ জনের বয়স ২ বছর করে বাড়লে মোটে বাড়বে ৮*২ = ১৬ বছর। অর্থাৎ নতুন আসা মহিলাটি চলে যাওয়া ২৪ বছর বয়সী লোকের চেয়ে ১৬ বছর বড়। সুতরাং মহিলার বয়স = ২৪+১৬ = ৪০ বছর।

# 50% of a% of b is 75% of b% of C. Which of the following is C ? [Janata Bank (EO)-2017 (afternoon)]

a.1.5a 
b.0.667a 
c.0.5a 
d.1.25a

Ans: (b)

50% of a% of b = b*50/100*a/100 = ab/200
Again 75% of b% of C = C*75/100*b/100 = 3bC/400
Now, ab/200=3bC/400 or, a =3C/2 or 3C = 2a or C =2a/3 So, 
C = 0.667a

#  A makes an article for TK.120 and sells it to B at a profit of 25% . B sells it to C who sells it for TK.195 making a profit of 10%. What profit percent did B make ? [Janata Bank (EO)-2017 (afternoon)]

a.25% 
b.20% 
c.16.66% 
d.15%

Ans: (b)

A's sp= 125% of 120=150 B's sp is not given
but C sell it 198 tk which make 10% profit
so, C's cost= 110% = 198, 1% = =180
finally B purchased it for 150 and sell it to C 180tk So, B’s profit percent =

 

 # A sum of TK.600 amounts to TK.720 in 4 years at simple interest. What will it amount to if the rate of interest is increased by 2% ? [Janata Bank (EO)-2017 (afternoon)]

a.TK.648 
b.TK.768 
c.TK.726 
d.TK.792

 

Ans: (b)

# The sum of first five prime number is : [Janata Bank (EO)-2017 (afternoon)]

a.11 
b.18 
c.26 
d.28

Ans: (d)

প্রথম ৫টি মৌলিক সংখ্যা হলো, ২, ৩, ৫, ৭এবং ১১ সুতরাং এদের যোগফল = ২+৩+৫+৭+১১ = ২৮

#  What is the following is equal to 3.14× 10^6? [Janata Bank (EO)-2017 (afternoon)]

a.314 
b.3140 
c.3140000 
 d.None of these

Ans: (c)

3.14*10^6 
 = ( 314/100)*10000 =3140000(Ans)

# If x=1 - q and y = 2q+1 , then for what value of q. x is equal to y ? [Janata Bank (EO)-2017 (afternoon)]

a.-1 
b.0 
c.0.5 
d.2

#  If y =5 , then what is thr value of 10y*root y^3-y^2 ? [Janata Bank (EO)-2017 (afternoon)]

a.50 
 b.100 
c.200 
 d.500

Ans: (d)

# 3 years ago , the average age of a family of 5 members was 17 years . A baby having been born , the average age of the family is the same today. The present age of the baby is : [Janata Bank (EO)-2017 (afternoon)]

a.1year 
b.1year 6months 
c.2years 
d.3years

Ans: (c)

# There are two numbers such that the sum of twice the first and thrice the second is 39, while the sum of thrice the first and twice the second is 36. The largest of the two is : [Janata Bank (EO)-2017 (afternoon)]

a.6 
b.8 
c.9 
d.12

# Ans: (c)

Let, the first number is x and second number is y 
For first condition, 2x+3y = 39 and for 2nd condition 3x+2y = 36
By solving the equation we get x = 6 and y = 9, So, largest number is 9

# A person was asked to state his age in years .His reply was , “take my age three years hence , multiple is by 3 and then subtract three times my age three years ago and you will know how old I am ” What was the age of person ? [Janata Bank (EO)-2017 (afternoon)]

a.18years 
b.20years 
c.24years 
d.32years

Ans: (a)

#  If root 2^n = 64 , then the value of n is : [Janata Bank (EO)-2017 (afternoon)]

a.2 
 b.4 
c.6 
d.12

Ans: (d)
root 2^n = 64 or, root 2^n= 2^6 or, 2n = 2^12 So, n=12

#Q  In an election, 30% of the voters voted for candidate A whereas 60% of the remaining voted for candidate B . The remaining voters did not vote. If the difference between those who voted for candidate A and those who did not vote was 1200, how many individuals were eligible for casting vote in the election ? [Janata Bank (EO)-2017 (afternoon)]

a.10,000 
b.45,000 
c.60,000 
d.72,000

Ans : (c)

Candidate A got = 30% So, Remaining = 100-30 =70% 
Candidate B got = 60% of 70 = 42% SO, voters did not vote = 70-42 = 28%
Difference of A and did not vote is 30-28 = 2%
Now 2% = 1200 then 1% = 600 SO, 100% = 60,000

#  A shopkeeper expects a gain of 22.5% on his cost price . If in a week his sale was of TK.392 , what was his profit ? [Janata Bank (EO)-2017 (afternoon)]

a.TK.18.20 
b.TK.70 
c.TK.72 
d.TK.88.25

Ans: (c)

CP = 100% and gain = 22.5% 
So, 122.5% = 392 so, 1% = , Then, profit 22.5% =

#  The least whole number which when subtracted from both the terms of the ratio 6:7 gives a ratio less then 16:21 is : [Janata Bank (EO)-2017 (afternoon)]

a.2 
b.3 
c.4 
d.6

Ans: (b)

Option test or,6-x:7-x = 16:21 দিয়ে x= 14/5 আসে অর্থাৎ x =3 বসালে এবং বিয়োগ করলে প্রাপ্ত নতুন অনুপাতটি 16:21 এর থেকে ছোট হবে।

# 10 men working 6 hours a day can complete a week in 18 days .how many hours a day must 15 men work to complete the same work in 12 days ? [Janata Bank (EO)-2017 (afternoon)]
a.6 
b.10 
c.12 
d.15

Ans: (a)

# Two taps A and B can fill a tank in 5 hours and 20 hours respectively . If both the taps are open then due to leakage , it took 30 minutes more to fill the tank . If the tank is full , how long will it take for the leakage alone to empty the tank ? [Janata Bank (EO)-2017 (afternoon)]

a.4.5hrs 
b.7hrs 
c.18hrs 
d.36hrs

Ans: (d)

A+B = 1/5+1/20 = 1/4 or 4 hours. 
Due to leakage time taken 4+30min or 4.5 hours
So, Power of the leakage is = (4*4.5)/ 4.5-4 = 18/.5 = 36hrs

#  A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75kms away from A at the same time . On the way , however , the train lost about 12.5 minutes while stopping at the station . The speed of the car is : [Janata Bank (EO)-2017 (afternoon)]

a.100Kmph 
b.110Kmph 
c.120Kmph 
d.130Kmph

Ans: (c)

Speed ratio of Train and Car = 3:2
So, Time ratio of train and car = 2:3

their time difference is 3-2 = 1 part = 12.5 min so Car taken 3*12.5 = 37.5min
So, Speed of the car in 1 min is 75/37.5 = 2km and in 60min or 1 hour is 2*/60 = 120km

 

#  A towel , when balanced was found to have lost 20% of its length and 10% of its breadth . The percentage of decrease in area is : [Janata Bank (EO)-2017 (afternoon)]

a.10% 
b.10.08% 
c.20% 
d.28%

Ans: (d)

 

 

 

 

NSI ফিল্ডি অফিসার ২০১৭

# কোন পরীক্ষায় পরীক্ষার্থী ৮০% গণিত এবং ৭০% বাংলায় পাশ করলো। উভয় বিষয়ে পাশ করলো ৬০%, উভয় বিষয়ে শতকরা কত জন ফেল করলো।

উ: ১০%

# ৭০ থেকে ৮০ এর মধ্যে মৌলিক সংখ্যা কয়টি?

উ: ০৩টি

# ০.২ এর ২০% কত?

উ: ০.০৪

# কোন ভগ্নাংশটি ২/৩ থেকে বড়?

উ: ৮/১১

# 4x^2+7x^2+3x^2=?

উ: 14x^2

# এক নটিক্যাল মাইল সমান কত মিটার?

উ: ১৮৫৩.১৮ মিটার

# সমকোণী ত্রিভুজের সমকোণের বিপরীত একটি কোণ ৫০ ডিগ্রি হলে অপরটি কত?

উ: ৪০ ডিগ্রি

# দুটি সংখ্যার গ.সা.গু এবং ল.সা.গু যথাক্রমে ২ এবং ৩৬০। একটি সংখ্যা ১০ হলে অপর সংখ্যা কত?

উ: ৭২

# চালের দাম ২৫ ভাগ বেড়ে যাওয়ায় এক ব্যক্তি চালের ব্যবহার এমনভাবে কমালো যেন তার সাংসারিক ব্যয় অপরিবর্তিত থাকে। তিনি চালের ব্যবহার শতকরা কত কমালেন?

উ: ২০%

# X>Y এবং XY<0 হলের নিচের কোনটি ঋণাত্মক হবে?

উ: Y

# শতকরা বার্ষিক যে হারে কোন মূলধন ৬ বছরে সুদেমূলে দ্বিগুণ হয় সেই হারে কত টাকা ৪ বছরে সুদেমূলে ২০৫০ টাকা হবে?

উ: ১২৩০

# X+Y=6 এবং XY=6 হলে (X-Y)^2 এর মান কত?

উ: 12

# ০০.১*০.০১=?

উ: ০.০০০১

# মাতার ৩০ বছর বয়সে কন্যার জন্ম হয়। মাতার কত বছর বয়সে তার বয়স কন্যার দ্বিগুণ হবে?

উ: ৬০

# ১০০ গ্যালনে কত লিটার?

উ: ৪.৫৫ লিটার

# কোন বৃহত্তম সংখ্যা দ্বারা ২৭, ৪০ ও ৬৫ কে ভাগ করলে যথাক্রমে ৩, ৪ ও ৫ ভাগ শেষ হবে?

উ: ১২

# পরপর তিনটি সংখ্যার গুণফল ১২০ হলে তাদের যোগফল কত হবে?

উ: ১৫

# টাকায় ৩টি করে লেবু কিনে টাকায় ২টি করে বিক্রি করলে শতকরা কত লাভ হবে?

উ: ৫০%

# ত্রিভুজের ক্ষেত্রফল নির্ণয়ের সূত্র কোনটি?

উ: ১/২*ভূমি*উচ্চতা   

NSI AD ২০১৭

পিতার বয়স পুত্রের অপেক্ষা ২ বছর বেশি, পিতার বয়স ৬২ হলে পুত্রের কত?

উত্তরঃ

1. কোন বাহিনীতে যদি আরো ১১ জন সদস্য নিয়োগ করা যেত, তাহলে তাদের ২০, ২০, ৪০, ৫০ ও ৬০ সারিতে দাঁড় করানো যেত, ঐ বাহিনীতে সদস্য কত ছিল?

উত্তরঃ গ। ৫৮৯

1. দুইটি সংখ্যার গসাগু এবং লসাগু যথাক্রমে ২ এবং ৩৬০। একটি সংখ্যা ১০ হলে অপরটি কত?

উত্তরঃ ঘ। ৭২

1. চালের দাম ২৫ ভাগ বেড়ে যাওয়ায় একজন ব্যক্তি চালের ব্যাবহার এমনভাবে কমালো যেন খরচ অপরিবর্তিত থাকে। তিনি চালের ব্যাবহার শতকরা কত কমালেন?

উত্তরঃ

1. দুটি সংখ্যার অনুপাত ৫ঃ৮ , সংখ্যা দুইটির সাথে ২ যোগ করলে অনুপাত হয় ২ঃ৩। সংখ্যা দুইটি কি কি?

উত্তরঃ ঘ। ১০ এবং ১৬

1. x + 1/x = √3 হলে x³ + 1/ x³ এর মান কত?

উত্তরঃ গ। 0

1. X > Y এবং XY < 0 হলে নীচের কোনটি ঋনাত্মক হবে?

উত্তরঃ খ। Y

1. ১৩ সেমি ব্যাসার্ধের বৃত্তের কেন্দ্র হতে ৫ সেমি দূরে জ্যা এর দৈর্ঘ্য কত?

উত্তরঃ ক। ১২ সেমি

1. বৃত্তের পরিধি ও ব্যাসের অনুপাত কত?

উত্তরঃ খ। ২২/৭

1. √2 কোন ধরনের সংখ্যা?

উত্তরঃ খ। অমূলদ

1. শতকরা বার্ষিক যে হারে কোন মুলধন ৬ বছরে সুদে মূলে দিগুণ হয়, সেই হারে কত টাকা সুদেমূলে ৪ বছরে ২০৫০ টাকা হবে?

উত্তরঃ

1. একটি রম্বসের প্রতিটি বাহু ১৩ সেমি, একটী কর্ন ২৪ সেমি হলে, অপর কর্ণের দৈর্ঘ্য কত?

উত্তরঃ খ। ১০ সেমি

1. X⁴ - x² +1 = 0 হলে x² + 1/x² এর মান কত?

উত্তরঃ ক। ১