Power & Logarithm(Bank-Math)Q1

Bangladesh Bank 2015 Officer (General Side), Bangladesh Bank AD 2018

If x=y^a, y=z^b and z=x^c, then the value of abc is-

1 Mark(s)

1
3
4
2

Rupali Bank Officer Cash2018

If logx(1/4) =-2, then x =?

1 Mark(s)

-1/2
1/2
3
2

√150+√150=?

1 Mark(s)

20
45
25
600

Which of the following statements is not correct?

1 Mark(s)

log₁₀10 = 1
log (1 + 2 + 3) = log 1 + log 2 + log 3
log (2 + 3) = log (2 x 3)
log₁₀1 = 0

Bangladesh Bank 2010 (AD)

(√25+√25)²=?

1 Mark(s)

130
20
125
100
50

If log₁₀ 2 = 0.3010, then log₂ 10 is equal to:

1 Mark(s)

1000/301
0.6990
0.3010
699/301

, Probashi Kallyan Bank SO 2018

If a^x=b, b^y=c and C^z=a, then the value of xyz is:

1 Mark(s)

1/abc
1
abc
0

Pubali Bank Sr. Officer 2012

Find 8.23 x 10⁹

1 Mark(s)

none of them
8230000000
0.000000823
8.23
0.00000000823

Pubali Bank Trinee Assistant Teller 2017

. 49x49x49x49 = 7^?

1 Mark(s)

4
7
8
16

Janata, Sonali & Agrani Bank Recruitment 2008

(-1)²-(-1)³=

1 Mark(s)

0
2
-1
1
-2

Sonali Bank Officer 2014

5¹²+5¹³ = ?

1 Mark(s)

5²⁵
6(5¹²)
5¹²+5
10²⁵

Trust Bank Ltd. 2010 (AEO)

When 1234 is multiplied by 10^-7, the product will be—

1 Mark(s)

0.01234
None of these
0.00001234
0.0001234
1234000

Sonali Bank Officer 2014

a^m÷ aⁿ = কত?

1 Mark(s)

a^m+n
a^n/m
a^m-n
a^m/n

A group of students decided to collect as many paise from each member of group as is the number of membe Tk. If the total collection amounts to Tk. 59.29, the number of the member is the group is:

1 Mark(s)

77
67
57
87

If a = 0.1039, then the value of √(4a² - 4a + 1) + 3a is:

1 Mark(s)

0.1039
1.1039
2.1039
0.2078

Sonali Bank Officer 2014

X এর মান কত হলে 2^4x-12= 16 হবে?

1 Mark(s)

4
6
8
2

Exim Bank Trainee Officer 2015

If 33² – 17² = 25k, what is the value of k?

1 Mark(s)

32
None of these
20
16²/25
14²/25

Exim Bank Trainee Officer 2015

If x = 4 then -2²^√x +2=?

1 Mark(s)

-2
None of these
-8
0
-14

Bangladesh Bank 2010 (AD)

If A³ is odd, which of the following is true?

1 Mark(s)

Both A and B are true
A is odd only
A² is even
A² is odd only

Bangladesh Krishi Bank 2017 (Sr. Officer)

If (0.0015*10^m)/(0.03*10^k) = 5*10⁷ then m-k = ?

1 Mark(s)

7
8
6
9

The value of (1/ log₃ 60 + 1/ log₄ 60 + 1/ log₅ 60) is:

1 Mark(s)

5
60
1
0

Sonali Bank Ltd, Sr Officer 2010, Sonali Bank Ltd Sr Officer 2014

4ⁿ = 64 হলে n এর মান নিচের কোনটি হবে?

1 Mark(s)

1
4
3
0

If x=5, what the value of (x⁷/x⁵ X X²)?

1 Mark(s)

125
5
625
25

Bangladesh Krishi Bank 2017 (Sr. Officer)

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

1 Mark(s)

9x
27x²
3^x+1
3x²

Prime Bank Ltd. MTO 2013

(0.3)⁵/(0.3)³=?

1 Mark(s)

1.0
0.09
0.9
0.001
0.01

√27 + √75 =?

1 Mark(s)

8√3
16√3
16
8

If x = (√3 + 1)/ (√3-1) and y = (√3 – 1)/(√3+1), then the value of (x² + y²) is:

1 Mark(s)

10
13
15
14

Janata Bank 2015 AEO(Teller)

(1000)⁷ / 10¹⁸ =?

1 Mark(s)

1000
100
10000
10

Probashi Kallyan Bank SO 2018

For what value of x is 8^(2x-4) = 16^x ?

1 Mark(s)

6
4
3
2

log √8 / log 8 is equal to:

1 Mark(s)

1/√8
1/8
1/2
1/4

What is the square root of 0.00000081?

1 Mark(s)

0.0027
0.0009
0.009
0.09
0.00003

(√625/11) x (14/√25) x (11/√196) is equal to:

1 Mark(s)

11
5
6
8

If logx (9/16) = - 1/2, then x is equal to:

1 Mark(s)

256/81
-3/4
81/256
3/4

The value of log₂ 16 is:

1 Mark(s)

1/8
8
16
4

The cube root of .000216 is:

1 Mark(s)

.06
.6
77
87

What is the value of (m+n)²- (m-n)²?

1 Mark(s)

m²-n²
n²
M²
2mn
4mn

If √5 = 2.236, then the value of √5/2 – 10/√5 + √125 is equal to:

1 Mark(s)

5.59
10.062
7.826
8.944

What should come in place of both x in the equation x/√128 = √162/x.

1 Mark(s)

196
144
14
12

If log 2 = 0.30103, the number of digits in 2⁶⁴ is:

1 Mark(s)

21
20
18
19

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

1 Mark(s)

9^x//27^x3
3^x+1
3^x3

If log a/b + log b/a = log (a + b), then:

1 Mark(s)

a + b = 1
a² - b² = 1
a = b
a - b = 1

Janata Bank Assistant Executive Officer(AEO) 2015

If x = y^a, y = z^b ,z = x^cthen find the value of abc.

1 Mark(s)

3
2
None of these
1

Rajshahi Krishi Unnyan Bank SO 2014

√(x√(y√z)) = ?

1 Mark(s)

x^1/2y^1/4z^1/8
X²y⁴z⁸
x^1/2y^1/2z^1/2
√x√y√z

Bangladesh Bank Officer 2018

Log 36/log 6-

1 Mark(s)

8
2
3
5

Bangladesh Bank 2010 (AD)

If x> 0 and x=√(y/x), then what is the value of y in terms of x?

1 Mark(s)

√x
1/x
x³
x√x
x²√x

If log₁₀ 7 = a, then log₁₀ (1/70) is equal to:

1 Mark(s)

-(1 + a)
1/10a
a/10
(1 + a)^-1

Bangladesh Bank 2010 (AD)

If x³<x²<x then the value of x could be

1 Mark(s)

square root of 3
0
1
1/3

Rajshahi Krishi Unnyan Bank SO 2014

If (16)^2x+3 = (4)^3x+6 then x = ?

1 Mark(s)

-3
-1
0
1

If log₁₀ 2 = 0.3010, the value of log₁₀ 80 is:

1 Mark(s)

3.9030
1.9030
None of these
1.6020

(√3 – 1/√3)² simplifies to:

1 Mark(s)

3/4
None of these
4/3
4/√3

√1.5625 = ?

1 Mark(s)

1.25
1.55
1.45
1.05

NCC Bank Ltd. 2011 (MTO)

(4^√p × 16^pq × 2^-2^√p)/ (8^√q × 4^pq × 2^-3^√q) × 4^-pq

1 Mark(s)

5
1
8pq
3
2

If log_x y = 100 and log₂ x = 10, then the value of y is:

1 Mark(s)

2¹⁰⁰
2¹⁰
2¹⁰⁰⁰⁰
2¹⁰⁰⁰

Bangladesh Bank 2010 (AD)

(10^-15+10^-4)=?

1 Mark(s)

10^-11
10¹⁹
10^-19
10¹¹
10⁶⁰

If log₁₀ 5 + log₁₀ (5x + 1) = log₁₀ (x + 5) + 1, then x is equal to:

1 Mark(s)

1
3
10
5

The least perfect square, which is divisible by each of 21, 36 and 66 is:

1 Mark(s)

214434
231444
214344
213444

Bangladesh Krishi Bank 2017 (Sr. Officer)

If n = 3⁸-2⁸, Which of the following is NOT a factor of n?

1 Mark(s)

97
35
13
65

Dhaka Bank Ltd. 2011 (MTO)

If x is negative all BUT which of the following must also be negative?

1 Mark(s)

1/x²
1/x³
1/x
X³
None of these

Janata, Sonali & Agrani Bank Recruitment 2008

(√7+√7)²=

1 Mark(s)

28
98
21
49
14

Al-Arafah Islami Bank Ltd. (MTO) 2011

If 2ⁿ = 128, then (2ⁿ^–1) (5^n-2) = ?

1 Mark(s)

2(10⁶)
2(10⁵)
5(10⁵)
2(5⁶)

The square root of 64009 is:

1 Mark(s)

363
347
253
803

Bangladesh Bank 2010 (AD)

Where does p lie if p²<p?

1 Mark(s)

Between -1 and 1
Between 0 and 1
Between -1 and 0
It is always greater than 1
It is always less than 0

Bangladesh Krishi Bank 2017 (Sr. Officer)

√((16)(20)+(8)(32)) = ?

1 Mark(s)

24
4√20
25
32

Rajshahi Krishi Unnyan Bank SO 2014

A Company employees 15 persons, each working 44 hours a week. If 4 persons are absent, how many hours a week would the rest of the persons have to work to make up the time lost?

1 Mark(s)

60
45
56
48

Prime Bank Ltd. MTO 2013

How many years does it take for interest on Tk. 1000 to become equal to the interest on Tk. 20 in 8 years?

1 Mark(s)

20
30
50
cannot be determined
40

Bangladesh Bank AD 2018

If 4^2x+1=32, then x = ?

1 Mark(s)

4/3
2
3
3/4

Bangladesh Krishi Bank 2017 (Sr. Officer)

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

1 Mark(s)

1
0
-32
-1

Pubali Bank Cash Officer 2019

9³ X(81)² / (27)³ = (3)^?

1 Mark(s)

4
6
5
3

If 3√5 + √125 = 17.88, then what will be the value of √80 + 6√5?

1 Mark(s)

20.46
21.66
22.35
13.41

If log 2 = 0.3010 and log 3 = 0.4771, the value of log₅ 512 is:

1 Mark(s)

3.912
2.870
2.967
3.876

√(0.0169 x ?) = 1.3

1 Mark(s)

100
1000
None of these
10

Exim Bank Trainee Officer 2016

(1000)⁷ ÷10¹⁸=?

1 Mark(s)

1000
10
100
10000

If a^x = b^y, then:

1 Mark(s)

log a / log b =y/x
log a/b = x/y
None of these
log a / log b = x/y

Sonali Bank Officer 2014

(√5+√3) (√5-√3) =

1 Mark(s)

3
3/5
2
5

Bangladesh Bank 2009 (AD)

Quantity A= (-6)⁴ and Quantity B = (6)⁵

1 Mark(s)

Quantity A is greater
The relationship indeterminate
Two quantities are equal
Quantity B is Greater
None of these

Bangladesh Bank AD (General Side) 2016

(2√27- √75+√12) is equal to:

1 Mark(s)

4√3
3√3
2√3
√3

If log 27 = 1.431, then the value of log 9 is:

1 Mark(s)

0.958
0.934
0.945
0.954

Power & Logarithm(Bank-Math)Q1 : Question 1 of 77

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