The average of 10 numbers is ---10. If the sum of 6 of them is 100, then what is the average of the other 4 numbers?

১

A company makes a profit of 6% on its first Tk. 1,000 of sales each day and Tk. 55 per thousand on all sales in excess of Tk. 1,000 of that day. How much profit will the company make in a day when sales are Tk. 6,000?

250

300

335

320

উত্তর সিলেক্ট করলে সঠিক ও ভুল দেখাবে।

বিস্তারিত

উত্তর

335

সমাধান

Profit on first 1000 TK sale = 6% of 1000 = 60 TK. Profit on the rest (6000 - 1000 = 5000) TK sale = 55×5000/1000 = 275 TK. Total profit = 60 + 275 = 335 TK

২

Of the fruits that arrive at the cannery, 20 percent by weight is rejected before processing. Of the fruit that is processed, 15 percent by weight is rejected before canning. Of the fruit that arrives at the cannery. what percent by weight is canned?

32%

35%

65%

68%

উত্তর সিলেক্ট করলে সঠিক ও ভুল দেখাবে।

বিস্তারিত

উত্তর

68%

সমাধান

Let Fruits arrived at cannery = 100 Selected for processing = 100 20 = 80 Percentage of canned fruits = 80 (80 × 15/100) = 68% (ans)

৩

The angles of a triangle are in the ratio of 2: 3: 4. The largest angle in the triangle is:

40 degree

70 degree

75 degree

80 degree

উত্তর সিলেক্ট করলে সঠিক ও ভুল দেখাবে।

বিস্তারিত

উত্তর

80 degree

সমাধান

the sum of all angles of a triangle is 180 . 2x + 3x + 4x = 180 = > 9x = 180 = > x = 180/9 ∴ x = 20 the largest angle is 20×4 = 80 degree

৪

When tossed, a certain coin has equal probability of landing on either side. If the coin is tossed 3 times, what is the probability that it will land on the same side each time?

1/8

1/4

1/3

3/8

উত্তর সিলেক্ট করলে সঠিক ও ভুল দেখাবে।

বিস্তারিত

উত্তর

1/3

সমাধান

We need to determine the probability that a coin lands on the same side for all 3 tosses of the coin. This means that the 3 - toss outcome will be either H - H - H or T - T - T. P(T - T - T) = 1/2 x 1/2 x 1/2 = 1/8 P(H - H - H) = 1/2 x 1/2 x 1/2 = 1/8 Thus, the probability that the coin lands on the same side each time is 1/8 + 1/8 = 2/8 = 1/4. (ans)

৫

If it takes 50 workers 4 hours to dig a hole, how long should it take 30 workers to dig the same hole?

2 hrs, 24 mins

6 hrs, 12 mins

5 hrs, 12 mins

6 hrs, 40 mins

উত্তর সিলেক্ট করলে সঠিক ও ভুল দেখাবে।

বিস্তারিত

উত্তর

6 hrs, 40 mins

সমাধান

Here, 4 hours = 240 minutes Now, 50 workers can dig the hole in 240 minutes So, 30 workers can dig the hole in 240×50/30 = 400 minutes = 6 hours 40 minutes

৬

There are 8 books on a shelf, of which 2 are paperbacks and 6 are hardbacks. how many possible selections of 4 books form this shelf include at least 1 paperback book?

উত্তর সিলেক্ট করলে সঠিক ও ভুল দেখাবে।

বিস্তারিত

উত্তর

সমাধান

Selections of 4 books out of 8: 8C4 = 70; Selections of 4 hardback books out of 6 (so none paperback): 6C4 = 15; At least One paperback = {total} - {none} = 70 - 15 = 55. (ans)

৭

(-5)(4)(2) (-1/2) (3/4) =?

-20

-40

উত্তর সিলেক্ট করলে সঠিক ও ভুল দেখাবে।

বিস্তারিত

উত্তর

সমাধান

( - 5)(4)(2)( - 1/2) (3/4) = (−5) ×4 ×2 ×(−1) ×3 / (2 ×4) = 15 (ans)

৮

How many of the integers between 150 and 160 are prime numbers?

উত্তর সিলেক্ট করলে সঠিক ও ভুল দেখাবে।

বিস্তারিত

উত্তর

সমাধান

between 150 and 160 there are 2 prime numbers. 151 and 157

৯

If the side of a square decreases by 30%, then the area of the square decreases by:

14%

21%

49%

51%

উত্তর সিলেক্ট করলে সঠিক ও ভুল দেখাবে।

বিস্তারিত

উত্তর

51%

সমাধান

Suppose the of the square = a The area of the square = a2 Now the sides are reduced by 30% . So its new side = 7a/10 New area = 49a2/100 So by reducing the diagonals of the square by 30%, the area becomes (a2 49a2/100)*100/a2 = 51% of the original. (ans)

১০

A man invests Tk. 9,00,000 in a share earning Tk. 9 as dividend per share, when a share of face value of Tk.100 is selling for Tk. 150. What is his annual income?

Tk. 54,000

Tk. 81,000

Tk. 15,000

Tk. 58,000

উত্তর সিলেক্ট করলে সঠিক ও ভুল দেখাবে।

বিস্তারিত

উত্তর

Tk. 81,000

অনুসন্ধান করুন

বিস্তারিত সমাধান

The average of 10 numbers is ---10. If the sum of 6 of them is 100, then what is the average of the other 4 numbers?

A company makes a profit of 6% on its first Tk. 1,000 of sales each day and Tk. 55 per thousand on all sales in excess of Tk. 1,000 of that day. How much profit will the company make in a day when sales are Tk. 6,000?

Of the fruits that arrive at the cannery, 20 percent by weight is rejected before processing. Of the fruit that is processed, 15 percent by weight is rejected before canning. Of the fruit that arrives at the cannery. what percent by weight is canned?

The angles of a triangle are in the ratio of 2: 3: 4. The largest angle in the triangle is:

When tossed, a certain coin has equal probability of landing on either side. If the coin is tossed 3 times, what is the probability that it will land on the same side each time?

If it takes 50 workers 4 hours to dig a hole, how long should it take 30 workers to dig the same hole?

There are 8 books on a shelf, of which 2 are paperbacks and 6 are hardbacks. how many possible selections of 4 books form this shelf include at least 1 paperback book?

(-5)(4)(2) (-1/2) (3/4) =?

How many of the integers between 150 and 160 are prime numbers?

If the side of a square decreases by 30%, then the area of the square decreases by:

A man invests Tk. 9,00,000 in a share earning Tk. 9 as dividend per share, when a share of face value of Tk.100 is selling for Tk. 150. What is his annual income?

কোর্স

অনুসন্ধান করুন

বিস্তারিত সমাধান

The average of 10 numbers is ---10. If the sum of 6 of them is 100, then what is the average of the other 4 numbers?

সম্পর্কিত বিষয় সমূহ

সম্পর্কিত অন্যান্য প্রশ্ন

A company makes a profit of 6% on its first Tk. 1,000 of sales each day and Tk. 55 per thousand on all sales in excess of Tk. 1,000 of that day. How much profit will the company make in a day when sales are Tk. 6,000?

Of the fruits that arrive at the cannery, 20 percent by weight is rejected before processing. Of the fruit that is processed, 15 percent by weight is rejected before canning. Of the fruit that arrives at the cannery. what percent by weight is canned?

The angles of a triangle are in the ratio of 2: 3: 4. The largest angle in the triangle is:

When tossed, a certain coin has equal probability of landing on either side. If the coin is tossed 3 times, what is the probability that it will land on the same side each time?

If it takes 50 workers 4 hours to dig a hole, how long should it take 30 workers to dig the same hole?

There are 8 books on a shelf, of which 2 are paperbacks and 6 are hardbacks. how many possible selections of 4 books form this shelf include at least 1 paperback book?

(-5)(4)(2) (-1/2) (3/4) =?

How many of the integers between 150 and 160 are prime numbers?

If the side of a square decreases by 30%, then the area of the square decreases by:

A man invests Tk. 9,00,000 in a share earning Tk. 9 as dividend per share, when a share of face value of Tk.100 is selling for Tk. 150. What is his annual income?