Bangladesh Krishi Bank 2017 (Sr. Officer)

৬৮ টি প্রশ্ন

টপিক তালিকা

একই বিষয়ের সব টপিক

3^x + 3^x + 3^x = ?

ক) 9x খ) 27x2 গ) 3x+1 ঘ) 3x2

ব্যাখ্যা (Explanation)

3x + 3x + 3x = 3. 3x =3x+1

If a and b are positive real numbers, then (a⁰ - 3b⁰)⁵ = ?

ক) 0 খ) 1 গ) -32 ঘ) -1

ব্যাখ্যা (Explanation)

(a0 - 3b0)5 = (1-3)5 { যেকোন বাস্তব সংখ্যার পাওয়ার 0 হলে এর মান 1 হয়}

=(-2)5 =-32

=(-2)5

If 3√x = 2√3, What is the value of x?

ক) 3 খ) 1.33 গ) 2 ঘ) 3√2

ব্যাখ্যা (Explanation)

here,

3√x = 2√3

or,√x = 2/√3

or,x=4/3

or,x = 1.33

If (0015*10^m)/(03*10^k) = 5*10⁷ then m-k = ?

ক) 9 খ) 8 গ) 7 ঘ) 6

If x percent of 40 is y, then 10x equals?

ক) 4y খ) 10y গ) 25y ঘ) 100y

ব্যাখ্যা (Explanation)

x % of 40 = y

40x/100 = y

x = 100y/40

x = 5y/2

10x = 25y

If a two digit positive integer has its digits reversed the resulting integer differs from the original by By how much does the two digits differ?

ক) 3 খ) 4 গ) 5 ঘ) 6

ব্যাখ্যা (Explanation)

If we say that A = the tens digit {দশক স্থানীয় অঙ্ক } B = the units digit. {একক স্থানীয় অঙ্ক} then, original integer = 10A + B and original integer with digits reversed = 10B + A Now, we can use the fact that the difference between these two two-digit numbers is 27 to write the following equation: 10A + B - (10B + A) = 27 We have one equation and two variables. However, this is enough to answer the question, which asks for the difference between the two variables, A - B! 10A + B - (10B + A) = 27 10A + B - 10B - A = 27 9A - 9B = 27 9(A - B) = 27 A - B = 3

What is the difference between sixth and fifth terms of the sequence 2,4,7, ___ whose n^th term is n + 2^n-1

ক) 3 খ) 6 গ) 16 ঘ) 17

ব্যাখ্যা (Explanation)

here,

an=n+2n−1

so, sixth term, a6=6+26−1=38

fifth terms of the sequence,a5=5+25−1=21;

The difference is 38-21=17.

Of the 30 applicants for a job, 14 had at least 4 years experience, 18 had degrees and 3 had less than 4 years experience and did not have a degree. How many of the applicants had at least 4 years experience and a degree?

ক) 5 খ) 7 গ) 9 ঘ) 13

ব্যাখ্যা (Explanation)

set A : people with more than 4 years exp set B : people with degree

AUB = total - (less than 4 exp and no degree) AUB = 30-3=27

AUB = A + B - A ∩ B A ∩ B = 18+14-27 =5

During a certain season, a team won 80% of its first 100 games and 50% of its remaining games. If the team won 70% of its games for the entire season, What was the total number of games the team played?

ক) 180 খ) 170 গ) 156 ঘ) 150

ব্যাখ্যা (Explanation)

Total number of games = x of games won in first 100 = .8 * 100 number of games won in remaining games = .5 * (x-100) number of games won in entire season = .7x

Now, .7x = .8 * 100 + .5 * (x-100) Or, .7x - .5x = 80 - 50 Or, .2x = 30 Or, x = 300/20 = 150