২২৮২১
If 2x+7 =12, then what is 4x-7?
উত্তর
3
সমাধান
ATQ, 2x + 7 = 12 So, x = (12 - 7)/2 = 5/2. Now, 4x - 7 = (4×5)/2 - 7 = 3
২২৮২২
The sum of 6 consecutive odd integers exceeds twice the biggest integer integer by 38. Find sum of the six numbers?
উত্তর
72
সমাধান
let, 6 consecutive odd integer are: 2n - 5, 2n - 3, 2n - 1, 2n + 1, 2n + 3, 2n + 5.
so, (2n - 5) + (2n - 3) + (2n - 1) + (2n + 1) + (2n + 3) + (2n + 5) = 2.(2n + 5) + 38
বা, 12n = 4n + 10 + 38
বা, 8n = 48
so, n = 6
sum of six numbers = 12 * 6 = 72
২২৮২৩
If the total surface area of a cube is 24, what is the volume of the cube?
উত্তর
8
সমাধান
Let the side of the cube be a.
Then, surface area, 6a2 = 24
or, a2 = 24/6 = 4
or, a = √4 = 2
So, volume of the cube, a3 = 23 = 8
২২৮২৪
If the following series continues to follow the same pattern, what will be the next number: 2 ,6 , 3, 9,6.....?
উত্তর
18
সমাধান
2, 6, 3, 9, 6.............?
1st number = 2, 3rd number = 2 + 1 = 3, 5th number = 3 + 3 = 6
again, 2nd number = 6, 4th number = 6 + 3 = 9 and 6th number = 9 + 9 = 18
২২৮২৫
If x/y = 3/4, then what is the value of x+y/y?
উত্তর
7/4
সমাধান
প্রশ্নোক্ত Sentence টি Present Indefinite Tense এ থাকায় ‘always’ - ই সঠিক। কারণ ‘always’ Present Indefinite Tense - কে নির্দেশ করে। এছাড়া ‘every week’ উক্ত tense কে নির্দেশ করলেও তা বাক্যের অর্থের সাথে সামঞ্জস্যপূর্ণ নয়।
২২৮২৬
15 students took a test that was scored from 0 to 100. If exactly 10 students scored 75 of more on the test, find the lowest possible value for the average of the scores of all 15 students.
উত্তর
50
সমাধান
Total score of 10 students if scored exactly 75 each = 10×75 = 750
Total score of 5 student if scored minimum or 0 = 0
Total score of 10 + 5 = 15 students = 750 + 0 = 750
Average of the 15 students = 750 / 15 = 50
২২৮২৭
what percent of 25 is 0.2 0?
উত্তর
0.8
সমাধান
let x% of 25 is 0.2
so, x/100 * 25 = 0.2
so, x = 0.8
২২৮২৮
If the average of 9 consecutive integers is 0, what is the average of the last 4 of these integers?
উত্তর
2.5
সমাধান
রক্ত দানের পর শারীরিকভাবে দুর্বল অনুভূত হতে পারে। আর ক্লান্তি বা ঘুম ঘুম ভাব আসে সাধারণত পরিশ্রম করার পর। সুতরাং অর্থ অনুযায়ী (b) - ই সঠিক উত্তর।
২২৮২৯
If the radius of a circle is decreased by 30 percent, by what percent will the area of the circular region decrease?
উত্তর
51%
সমাধান
Initial radius = R
Initial area = π R2
New radius = R - 30% of R = R - 0.3R = 0.7R
New area = π (0.7R)2 = 0.49 π R2
Decrease in area = (πR2 - 0.49πR2) / (πR2) × 100% = 51%
২২৮৩০
In a library system with 6 branches, 60 workers are employed. If no library has fewer than 7 workers and no more than 11, what is the minimum number of workers in any 2 of the branches?
উত্তর
16
সমাধান
Maximum number of workers possible to remain in any 4 branches = 4×11 = 44
Workers remaining = 60 - 44 = 16 which can be divided between the two remaining branches in such a way that there is no fewer than 7 workers in any of the two branches.
So, minimum 16 workers can remain in any 2 branches.