A tank is 30% full with water. If 18 liters of water is added, the tank becomes 3/4 full. What is the capacity of the tank?

১

If x>w, y>q, s>w, and w>y, which of the following must be true? 1. x>s 2. s>q 3. x>y

1 only

2 only

3 only

2 and 3

উত্তর সিলেক্ট করলে সঠিক ও ভুল দেখাবে।

বিস্তারিত

উত্তর

2 and 3

সমাধান

We can make the following deductions from the given information:Since x > w and w > y, we can conclude that x > y.Since y > q, we can conclude that s > q.Since s > w and w > y, we can conclude that s > y.Therefore, the statements that must be true are:x > s or s > x (We cannot determine the relationship between x and s based on the given information. Therefore, this statement is not necessarily true.)s > q (This statement is true based on the given information.)x > y (This statement is always true based on the given information.So, the correct answer is options 2 and 3.

২

'C' is the midpoint of the line segment AE. Points B and D are on the line segment AE so that AB=BC and CD=DE, what percentage of AC is AD?

150

133

উত্তর সিলেক্ট করলে সঠিক ও ভুল দেখাবে।

বিস্তারিত

উত্তর

150

সমাধান

Here, B is the midpoint of AC and D is the midpoint of CD. So, AB = BC = CD = DE Now, AC = AB + BC = 2AB And, AD = AB + BC + CD = 3AB = 3/2 x 2AB = 3/2 AC So, AD = 3/2 x 100% of AC = 150% of AC.

৩

some zings are zangs. Some zangs are zongs. Which of the following can we conclude for sure?

Some zings are zongs

No zongs are zings

Some zangs are zings

All zings are zongs

উত্তর সিলেক্ট করলে সঠিক ও ভুল দেখাবে।

বিস্তারিত

উত্তর

Some zangs are zings

সমাধান

Here, Zing=zang zang=zongso zang cant be zing

৪

If x-3y=3 and 2x+9y=11, then what are the values of x and y?

2, 3

1/4, 1/3

4, 1/3

1/3, 3

উত্তর সিলেক্ট করলে সঠিক ও ভুল দেখাবে।

বিস্তারিত

উত্তর

4, 1/3

সমাধান

x - 3y = 3 or, x = 3y + 3 - - - - - - - (i) 2x + 9y = 11 or, 2(3y + 3) + 9y = 11 or, 6y + 6 + 9y = 11 or, 15y = 11 - 6 or, y = 5/15 = 1/3 Now, x = 3y + 3 = 3 x 1/3 + 3 = 4 So, (x, y) = (4, 1/3).

৫

If the individual marks of all the students are arranged in increasing order, which of the following is a possible mark for the 36th position in the list?

উত্তর সিলেক্ট করলে সঠিক ও ভুল দেখাবে।

বিস্তারিত

উত্তর

৬

If a mark of 76 or higher represents an A grade, then to the nearest percent, what percent of students received an A?

20%

30%

29%

33%

উত্তর সিলেক্ট করলে সঠিক ও ভুল দেখাবে।

বিস্তারিত

উত্তর

20%

৭

If 10 students scored 61, how many students scored 62 or more marks?

উত্তর সিলেক্ট করলে সঠিক ও ভুল দেখাবে।

বিস্তারিত

উত্তর

সমাধান

There is given a table of Mark distribution 35-48, 49-60, 61-75, 76-88, 89-100No. Of students: 11, 25, 21, 9, 5Solution : Given that 10 students score 61, then rest (21-10)=11 students scores range 62 to 75.Though 76 to 100 are more than 62, so we took the number of rest students. So, total number of students who score 62 or more is (11+9+5)=25.Our answer is 25.

৮

How much salt must we add to 10 grams of a 20% salt solution to strengthen it into a 50% solution?

5 gm

3 gm

6 gm

4 gm

উত্তর সিলেক্ট করলে সঠিক ও ভুল দেখাবে।

বিস্তারিত

উত্তর

6 gm

সমাধান

Let the amount need to be added be x grams. So, x + 20% of 10 = 50% of (10 + x) or, x + 2 = 5 + 0.5x or, x - 0.5x = 5 - 2 or, 0.5x = 3 So, x = 6 grams

৯

If n is an even integer which of the following must be an odd integer?

3(n+1)

n-2

3n+5

উত্তর সিলেক্ট করলে সঠিক ও ভুল দেখাবে।

বিস্তারিত

উত্তর

3(n+1)

সমাধান

If n is an even integer then n + 1 must be an odd integer. Product of two odd integers is always an odd number. So, 3(n + 1) must be an odd number.

১০

A certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office. In how many ways can the company assign 3 employees to 2 different offices?

উত্তর সিলেক্ট করলে সঠিক ও ভুল দেখাবে।

বিস্তারিত

উত্তর

সমাধান

Two offices can be filled in two ways, when all the three employee will be in same room or when two employee in one room and one in other room. when all the three employee will be in same = 3C3 * 2! = 2 (2!, because any of the room can be taken) when two employee in one room and one in other room. = 3C2 * 1C1 * 2! = 6 Hence total ways = 6 + 2 Answer is 8.

অনুসন্ধান করুন

বিস্তারিত সমাধান

A tank is 30% full with water. If 18 liters of water is added, the tank becomes 3/4 full. What is the capacity of the tank?

If x>w, y>q, s>w, and w>y, which of the following must be true? 1. x>s 2. s>q 3. x>y

'C' is the midpoint of the line segment AE. Points B and D are on the line segment AE so that AB=BC and CD=DE, what percentage of AC is AD?

some zings are zangs. Some zangs are zongs. Which of the following can we conclude for sure?

If x-3y=3 and 2x+9y=11, then what are the values of x and y?

If the individual marks of all the students are arranged in increasing order, which of the following is a possible mark for the 36th position in the list?

If a mark of 76 or higher represents an A grade, then to the nearest percent, what percent of students received an A?

If 10 students scored 61, how many students scored 62 or more marks?

How much salt must we add to 10 grams of a 20% salt solution to strengthen it into a 50% solution?

If n is an even integer which of the following must be an odd integer?

A certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office. In how many ways can the company assign 3 employees to 2 different offices?

কোর্স

অনুসন্ধান করুন

বিস্তারিত সমাধান

A tank is 30% full with water. If 18 liters of water is added, the tank becomes 3/4 full. What is the capacity of the tank?

সম্পর্কিত বিষয় সমূহ

সম্পর্কিত অন্যান্য প্রশ্ন

If x>w, y>q, s>w, and w>y, which of the following must be true? 1. x>s 2. s>q 3. x>y

'C' is the midpoint of the line segment AE. Points B and D are on the line segment AE so that AB=BC and CD=DE, what percentage of AC is AD?

some zings are zangs. Some zangs are zongs. Which of the following can we conclude for sure?

If x-3y=3 and 2x+9y=11, then what are the values of x and y?

If the individual marks of all the students are arranged in increasing order, which of the following is a possible mark for the 36th position in the list?

If a mark of 76 or higher represents an A grade, then to the nearest percent, what percent of students received an A?

If 10 students scored 61, how many students scored 62 or more marks?

How much salt must we add to 10 grams of a 20% salt solution to strengthen it into a 50% solution?

If n is an even integer which of the following must be an odd integer?

A certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office. In how many ways can the company assign 3 employees to 2 different offices?