Pubali Bank অ্যাসিসট্যান্ট অফিসার টেলার ২০১৭ : গণিত

14 Apr 2021

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