২২৪৪১
An ice cream parlour makes an ice cream using one of six different flavors of ice cream, one of three different flavor of syrup, and one of four different toppings. what is the total number of different ice creams that this ice cream paolour can make?
উত্তর
72
সমাধান
Making ice cream parlour depends on chosing flavors of ice cream, syrup and toppings.
Now, ways of coosing ice cream flavor = 6C1
Ways of coosing ice cream flavor = 3C1
Ways of coosing ice cream flavor = 4C1
So, total number of ice cream = 6C1 x 3C1 x 4C1 = 6 x 3 x 4 = 72
২২৪৪২
Of two groups of tourists, each has 60 people. If three fourth (i.e. 75%) of the first group and two-third of the second group board buses to travel to a museum, how many more people of the first group board buses than of the second group?
উত্তর
5
সমাধান
3/4 th of 60 = 45
2/3 rd of 60 = 40
Difference = 45 - 5 = 5
২২৪৪৩
If an integer y is subtracted from an integer x, and the result is greater than x, then y must be ---
উত্তর
Less than 0
সমাধান
x - y > x
x = 1 এবং y = - 1 হলে, x - y = 1 - ( - 1) = 2>1
x = 1 এবং y = - 2 হলে, x - y = 1 + 2 = 3 >1
y <0 হলে x - y > x শর্তটি সিদ্ধ হয়।
২২৪৪৪
At a book fair, Danesh buys three pencils that cost Tk. 3.25 each, and a color pen that costs Tk. 5. Which expression represents the amount of change , he should get when paying with a twenty taka note?
উত্তর
20- 3(3.25) -5
সমাধান
He has 20 tkHe buys three pencils that cost tk. 3.25 each so the cost of 3 pencils = 3(3.25)And also a color pen that costs tk. 5 .So, he should get = 20-3(3.25)-5
২২৪৪৫
There are 92 girls in the anthropology class. This is 40% of all the students. What is the total number of students?
উত্তর
230
সমাধান
40% of the students = 92
So, all or 100% of the students = 92 x 100 / 40 = 230
২২৪৪৬
A two-digit number has 3 in its unit digit. The sum of its digits is one-seventh of the number itself. What is the number?
উত্তর
63
সমাধান
Let the decimal placed digit be X.
Then the number is (10X + 3).
Again, X + 3 = (10X + 3) / 7
or, 7X + 21 = 10X + 3
or, 10X - 7X = 21 - 3
or, 3X = 18
or, X = 6
So, the number is 63.
২২৪৪৭
Amer is working in an insurance company as traveling salesman. He drove 373.5 miles on Monday, 481.6 miles on Tuesday, 392.8 miles on Wednesday, 502 miles on Thursday and 53.7 miles on Friday. What is his average traveling?
উত্তর
360.72 miles
সমাধান
Total days = 5
Total driving = 373.5 + 481.6 + 392.8 + 502 + 53.7 = 1803.6 miles
Average travelling = 1803.6 / 5 = 360.72 miles
২২৪৪৮
zinat's father contributes to his daughter's savings by giving her 10% of her total saving. If Zinat saves Tk. 100 in June , Tk. 250 in July and Tk. 130 in August, how much will she have in savings at the end of that time?
উত্তর
Tk. 528
সমাধান
At the end of that time she will have = (100 + 10% of 100) + (250 + 10% of 250) + (130 + 10% of 130)
= 100 + 10 + 250 + 25 + 130 + 13 = 528 TK
২২৪৪৯
If there are 300 calories in 100 grams of a food, how many calories are there in a 30-gram portion of that food?
উত্তর
90
সমাধান
Calories remained in the 30gram portion = 30 / 100 x 300 = 90 calories
২২৪৫০
At 5: 15 p.m. waht angle do the hands of a clock form?
উত্তর
67.5 degree
সমাধান
Clock angle = । (60H - 11M)/2 । = । (60 x 5 - 11 x 15)/2 । = । (300 - 165)/2 । = 135/2 = 67.5°
[If the clock angle is greater than 180°, its subtraction from 360° will be the actual angle.]