৪৫তম বিসিএস, প্রাইমারি শিক্ষক নিয়োগ, সরকারি চাকরি, ব্যাংক প্রস্তুতি

Fraction (88 টি প্রশ্ন )

ক) -1/2

খ) 1/2

গ) 2

ঘ) 3

log_x(1/4) = -2
⇒ x^-2 = 1/4
⇒ 1/x² = 1/4
⇒ x² = 4
⇒ x = ±2

Q2. On Monday, a person mailed 8 packages weighing an average (arithmetic mean) of 99/8 pounds and on Tuesday, 4 packages weighing an average of 61/4 pounds. What was the average weight, in pounds, of all the package the person mailed on both days?

ক) 40/3

খ) 60/3

গ) 31/2

ঘ) 75/4

৮ টি প্যাকেজের গড় ৯৯/৮ পাউন্ড
∴ মোট= ৯৯*৮/৮ পাউন্ড = ৯৯ পাইন্ড
৪ টি প্যাকেজের গড় ৬১/৪ পাউন্ড
∴ মোট = ৬১*৪/৪ পাউন্ড= ৬১ পাউন্ড
গড়= (৯৯+৬১)/১২= ১৬০/১= ৪০/৩

Q3. What fractional part of a week is 98 hours?

ক) 7/24

খ) 24/98

গ) 1/2

ঘ) 7/12

1 week = 7 days
1 day = 24 hours
∴7 days = (7*24) hours= 168 hours;
তাহলে 98 ঘন্টা হয়= 98/168=49/84=7/12

Q4. A fraction becomes 4 when 1 is added to both the numerator and denominator and it becomes 7 when 1 is subtracted from both the numerator and the denominator. The numerator of the fraction is------

ক) 2

খ) 3

গ) 7

ঘ) 9

suppose the fraction is x/y

if, x+1/y+1 = 4 or,y=(x-3)/4 again, x-1/y-1=7 or, y=(x+6)/7 or, (x-3)/4=(x+6)/7 or, x=15

Q5. If the value of a certain fraction is equal to 4 and the denominator of the fraction is 15, then the numerator of the fractions is:

ক) 16

খ) 12

গ) 9

ঘ) 6

suppose nominator of the fraction is x here, x/15 =.4 or, x= 8

Q6. Twenty percent of the computer technicians have passed the certification test conducted by Bangladesh Computer Somity (BCS). Among the technicians who have not passed the test, 21 have taken a preparatory course and 15 have not taken the course. How many computer technicians are there?

ক) 9

খ) 20

গ) 36

ঘ) 45

30% have passed so failed =(100-30 )%=70% total failed= 21+15=36 here, 70% =36 100%=36 x 100/70 =45

Q7. In a Cox’s Bazaar hotel, the daily rate for an economy room, which can accommodate a maximum of three persons is Taka 800 for one person and Taka Y for each additional person. If 3 friends take the room for one day and each pays Taka 450 for the room, what is Taka Y?

ক) 200

খ) 275

গ) 350

ঘ) 425

as first person have to pay 800 tk and each of others have to pay y tk if , each of three person pays 450 tk each so, total cost = (450 x 3)= 1350 taka here, 800+2y=1350 or, 2y=550 or, y =275

Q8. One-tenth is what part of three-fourths?

ক) 40/3

খ) 15/2

গ) 2/15

ঘ) 3/40

1/10/3/4= 1/10 X4/3=4/30 =2/15

Q9. A person has first spent 3/7 of his savings and then 5/12 of the remaining amount. He found that he had still a sum of Tk. 1000 unspent. What was his total savings in Taka?

ক) 2800

খ) 2500

গ) 2000

ঘ) 3000

ফ্রিতে ২ লাখ প্রশ্নের টপিক, সাব-টপিক ভিত্তিক ও ১০০০+ জব শুলুশন্স বিস্তারিতে ব্যাখ্যাসহ পড়তে ও আপনার পড়ার ট্র্যাকিং রাখতে সাইটে লগইন করুন।

লগইন করুন

Q10. If the value of X and Y in XZ/Y are both tripled, how does the value of XZ/Y change?

ক) Increases by half

খ) decreases by half

গ) triples

ঘ) remains the same

Value of X and Y are both tripled

XZ/Y = (3X)Z/3Y =XZ/Y

Q11. Saleha wants to make 5/6th of a recipe that calls for 3/20 kg of sugar. What is the proportion sugar in the recipe?

ক) 1/8

খ) 1/7

গ) 4/13

ঘ) 1/4

Q12. Which one of the following is the largest?

ক) 1/2

খ) 7/15

গ) 7/25

ঘ) 126/250

Q13. A box contains only marbles. If 1/4 of the marbles were removed, the box would be filled to 1/2 of its capacity. If instead 100 marbles were added, the box would be full. How many marbles are in the box?

ক) 100

খ) 200

গ) 250

ঘ) 300

A.T.Q,

x-1/4x = 1/2

x = 2/3

Remaining = (1-2/3) = 1/3

Again,

1/3 part =100

1 part =300

2/3 part = 200

Q14. If the value of X and Y in the fraction XZ/Y are both tripled, how does the value of the fraction change?

ক) Increases by half

খ) decreases by half

গ) triples

ঘ) doubles

Q15. If the values of both x and y are tripled xz/y, how does the value of the fraction change?

ক) Increase by half

খ) decrease by half

গ) triples

ঘ) remains the same

Q16. The sum of 7/8 and 1/9 is between

ক) 1/2 and 3/4

খ) 3/4 and 5/4

গ) 5/4 and 3/2

ঘ) 3/2 and 2

Q17. The numerator of a fraction is decreased by 20% and the denominator of the fraction is increased by 180%. The resultant fraction is 10/ What was the original fraction

ক) 2/5

খ) 7/9

গ) 3/5

ঘ) 5/6

Q18. Which of the following is greater than-?

ক) 33/50

খ) 8/11

গ) 3/5

ঘ) 13/27

Q19. Three small pumps and a large pump are filling a tank. Each small pump works at 2/3^rd the rate of large pump. If all our work at the same time, they should fill the tank in what fractions of the time it would have taken the large pump alone?

ক) 4/7

খ) 1/3

গ) 2/3

ঘ) 3/4

ফ্রিতে ২ লাখ প্রশ্নের টপিক, সাব-টপিক ভিত্তিক ও ১০০০+ জব শুলুশন্স বিস্তারিতে ব্যাখ্যাসহ পড়তে ও আপনার পড়ার ট্র্যাকিং রাখতে সাইটে লগইন করুন।

লগইন করুন

Q20. Mizan used 1/6^th of his monthly salary for a car payment and 1/4^th more than the car payment for house rent. What fraction of his monthly salary did Mizan use for both car payment and rent?

ক) 5/24

খ) 3/8

গ) 5/12

ঘ) 7/12

Q21. If the value of certain fraction is 4 and the numerator of the fraction is 15, then the denominator of the fraction is-

ক) 6

খ) 9

গ) 12

ঘ) 37.5

Q22. In a certain apartment building exactly 1/3^rd of the apartments have two bedrooms and exactly 1/7^th of the two bedroom apartments are front apartments. Which of the following could be the total number of apartments in the building?

ক) 42

খ) 51

গ) 57

ঘ) 56

Q23. In a club, 70% of the members are women of the members of the club, 60% are married. If 2/3 of the men are unmarried, what fraction of the women is married?

ক) 5/7

খ) 7/10

গ) 1/3

ঘ) 7/30

Q24. What fraction of an hour clapeses between 11:40 p.m. and 20 a.m.?

ক) 2/3

খ) 1/2

গ) 4/5

ঘ) 1/6

12.20-11.40=40

40/60=2/3

Q25. When the numerator of a fraction increases by 4, the fraction increases by 2/ The denominator of the fraction is:

ক) 2

খ) 3

গ) 4

ঘ) 6

(x+4)/y = x/y+2/3

Or, x/y + 4/y = x/y + 2/3

Thus,

4/y = 2/3

Or, 2y = 12

Or, y = 12/2 = 6

Q26. একটি বাশের এক পঞ্চমাংশ সাদা, এক তৃতীয়াংশ কালো, এক দশমাংশ লাল ও বাকি অংশ সবুজ । সবচেয়ে বেশি কোন অংশ?

ক) সাদা

খ) কালো

গ) লাল

ঘ) সবুজ

সাদা= ১/৫

কালো = ১/৩

লাল = ১/১০

সুতরাং, সবুজ = ১ - ( ১/৫ + ১/৩ + ১/১০)

= ১ - [(৬+১০+৩) /৩০]

= ১ - (১৯/৩০)

= (৩০-১৯)/৩০

= ১১/৩০

এখন, তিরিশ ভাগ হিসেবে,

সাদা = ১*৬/৫*৬ = ৬/৩০

কালো= ১*১০/৩*১০ = ১০/৩০

লাল= ১*৩/১০*৩ = ৩/৩০

আর, সবুজ= ১১/৩০

দেখা যাচ্ছে যে, সবুজের অংশ সবচেয়ে বেশি।

Q27. Find the value of (1×01 ×001) – (2×02 × 002)

ক) 14

খ) 18

গ) 21

ঘ) 28

Q28. The value of 1X 1 is:

ক) 0.1

খ) 1

গ) 0.01

ঘ) 0.001

The simplest rule of multiplication with decimal point:

1. Multiply the numbers without minding the decimal points.

2. After deriving the value,find out how many digits are there at the right side after the decimal points for every number you multiplied.

3. Place decimal point onto your derived value, equal to the sum of number of digits found in every number multiplied, counting from from left to right.

Q29. A person walking 5/6 of his usual rate is 40 minutes late. What is his usual time?

ক) 2 hours 20 minutes

খ) 3 hours 20 minutes

গ) 2 hours

ঘ) 4 hours 10 minutes

ফ্রিতে ২ লাখ প্রশ্নের টপিক, সাব-টপিক ভিত্তিক ও ১০০০+ জব শুলুশন্স বিস্তারিতে ব্যাখ্যাসহ পড়তে ও আপনার পড়ার ট্র্যাকিং রাখতে সাইটে লগইন করুন।

লগইন করুন

Q30. Which fraction is the largest?

ক) 9/16

খ) 7/10

গ) 4/5

ঘ) 5/8

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Fraction (88 টি প্রশ্ন )