২২৫০১
If the product of 4 consecutive integers is equal to one of them , then what is the largest possible value of one of the integers?
উত্তর
24
সমাধান
let,4 consecutive numbers are 0,1,2,3
Now lets take the product of them:
0 * 1 * 2 * 3 = 0
As we can see, it's equal to one of the integers which is 0
So that meets the requirement.
From those set of numbers, 3 is the largest. (ans)
২২৫০২
In an examination of four subjects, a student got 70,80, 90 and x marks and his average was 75. What was the value of x?
উত্তর
60
সমাধান
Here, 70 + 80 + 90 + x = 4 x 75
or, x = 300 - 240
So, x = 60
২২৫০৩
If p number of pencils cost c paisa, how many pencils can be bought for taka?
উত্তর
100 pd/c
২২৫০৪
A retailer buys a Panjabi and a Fatua jointly at Tk. 500. If he sells the Fatua at 10% profit and the panjabi at 5% loss , then he gets, Tk. 520 as total sales price. What is the cost price of the Fatua?
উত্তর
Tk. 300
সমাধান
Let the cost price of the Fatua and the Panjabi be F and (500 - F) respectively.
Now, total sales price, F + 10% of F + (500 - F) - 5% of (500 - F) = 520
or, F + 10/100 F + 500 - F - 5/100 of 500 + 5/100 of F = 520
or, F/10 + F/20 = 520 + 25 - 500
or, 3F/20 = 45
or, F = 45 x 20 / 3 = 300 TK
২২৫০৫
Mr. Jamal employed 50 workers to finish a work within 30 days. After 20 days he found out that only 50% work had been completed. How many additional workers did Mr. Jamal need to finish the work in time?
উত্তর
50
সমাধান
Remaining days = 30 - 20 = 10 days
Remaining work = 100% - 50% = 50%
Now, 50% work can be completed in 20 days by 50 workers
So, 50% work can be completed in 10 days by 50 x 20 / 10 = 100 workers
Therefore, additional workers needed = 100 - 50 = 50
২২৫০৬
If r=18 and r/s = 6/y, then y/s is ----
উত্তর
1/3
সমাধান
Here, r/s = 6/y
or, y/s = 6/r
So, y/s = 6/18 = 1/3 [r = 18]
২২৫০৭
A container full of water weighs 18.5 kg. If one -fourth of the container is full of water , it weighs 6.5 kg. What is the weight of the empty container?
উত্তর
2.5 kg
সমাধান
Weight of container + weight of totally filled water = 18.5 kg
Weight of container + weight of 1/4 th filled water = 6.5 kg
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[Subtraction] Weight of the 3/4th [1 - 1/4 = 3/4] filled water = 18.5 - 6.5 = 12 kg
So, weight of fully filled water = 12 x 4 / 3 = 16 kg
Therefore, weight of the container = 18.5 - 16 = 2.5 kg
২২৫০৮
If 10% of r is 20% of s. is 20% of s is 30% of t and 100% of r is x% of t, then x is ----
উত্তর
300
সমাধান
Here 0.1 × r = 0.2 × s = 0.3 × t r = 0.01 × x × t3 × t =0.01 × x × tSo, x = 300 (ans.)
২২৫০৯
50% of the people in an area read Ittefaq and 60% of the people in that area read Prothom Alo. 20% people read both the newspapers. What percent of people do not read any of the newspapers?
উত্তর
10
সমাধান
Total = Ittefaq + Prothom Alo - Both + None
= > 100% = 50% + 60% - 20% + None.
So, None = 10%
২২৫১০
If 6 workers can complete 1 identical job in 3 days, how long (in days) will it take 4 workers to complete 10 such jobs?
উত্তর
5
সমাধান
this question should be -
If 6 workers can complete 9 identical jobs in 3 days, how long (in days) will it take 4 workers to complete 10 such jobs?
Solution:
6 workers can complete 9 identical jobs in 3 days.
∴1 worker can complete 1 identical jobs in = (6 x 3)/9 days
∴4 workers can complete 10 identical jobs in = (6 x 3 x 10) /(9 x4) days = 5days
4 workers can complete 10 jobs in 5 days. (ans)