Solution(Bank-Math)Q2

If 5^a = 3125, then the value of 5^{(a - 3)} is:

1 Mark(s)

625
125
25
1625

Janata, Sonali & Agrani Bank Recruitment 2008

If b+a=x and a-b=y, then a2-b2= ?

1 Mark(s)

xy
(x^2-y^2)/2
(x^2-y)/2
2xy
(xy)/2

Mutual Trust Bank, Probationary Officer 2012

If 1+1/x=2-2/x, then x=

1 Mark(s)

2
1/3
-1
None of these
2/3

Bangladesh Bank AD 2012, Probashi Kallyan Bank SO 2018, Combined 3 Bank Senior Officer

If for integer x, 5 < x < 10 and y = x + 5, what is the greatest possible value of x +y?

1 Mark(s)

24
22
None of them
23
32

Janata, Sonali & Agrani Bank Recruitment 2008

If 6-4x≤14 then

1 Mark(s)

x≤-2
x≥2
x>-2
x≤2
x≥-2

Pubali Bank Jr. Officer 2012

x=2y+3 and y=-2; Quantity A=x and Quantity B=-1

1 Mark(s)

Quantity B is greater
Quantity A is greter
None of these
The two quantities are equal
The relationship cannot be determined from the information given

Pubali Bank Sr. Officer 2013

If a + 2b = 6 and ab = 4, what is 2/a + 1/b?

1 Mark(s)

2
1
1/2
5/2
3/2

If m and n are whole numbers such that mⁿ = 121, the value of (m - 1)^{n + 1} is:

1 Mark(s)

1
121
10
1000

Standard Bank Ltd. Probationary Officer 2012

If (5x-9) = 51, then 7x + 2 = ?

1 Mark(s)

50
12
48
84
86

নিচের সমীকরনটিতে x এর মান কত? ৬৪-১২ * ২+৬/৩ = x

1 Mark(s)

42
44
37
১১০/৩

If X=12, which of the following has the maximum value?

1 Mark(s)

(x-5)(x-3)
(x-3)
(x-7)(x-9)
(x-8)(x-7)

If b<2 and 2x-3b=0, which of the following must be true?

1 Mark(s)

x=3
x<3
x<2
none of them
x>-3

Pubali Bank 2009 (Cash)

Which of the following equations is NOT equivalent to 25x²=y²-4?

1 Mark(s)

25x²=(y+2)(y-2)
75x²=3y²-12
5x=y-2
25x²+4=y²
None of these

National Bank Ltd. PO 2013

Morshed has d books, which is 3 times as many as Salain and 1/2 as many as Roni. How many books do the three of them have altogether, in terms of d?

1 Mark(s)

10d/3
None of these
5d/6
9d/2
7d/3

Bank asia Ltd. 2011 (MTO)

If xy=2 and xy² = 8, what is the value of x?

1 Mark(s)

16
1/2
4
8
2

Social Islami Bank Ltd. 2013 (MTO)

If A+B+C=10, A+B = 7 and A-B =5, What is the value of C?

1 Mark(s)

Cannot be determined
3
1
7
6

One Bank Ltd. 2012 (Officer)

Suppose x = (1/3)y, y = (2/3)r and r = (3/4)s, what would be the value of y as a fraction of s?

1 Mark(s)

1/4
3/4
1/2
1/3
2/3

Pubali Bank Jr. Officer 2013

The minimum value of 2X2 + 8x – 5 is

1 Mark(s)

13/2
none of them
-9
-13
13

If 50% of x equals the sum of y and 20, then what is the value of x-2y

1 Mark(s)

60
40
20
80

SBAC Bank Ltd MTO 2014

If (x+2y)=a and (x-2y)=b, which of the following expression is equal to xy?

1 Mark(s)

(a+b)/2
(a²-b²)/4
ab
(a²-b²)/8
None of these

What is the value of x if 4/x + 3/5 = 10/x, then x=?

1 Mark(s)

12
50
60
10
40

(0.04)^-1.5 = ?

1 Mark(s)

125
25
625
250

Jamuna Bank Ltd.(PO)-2014

If x=2y = 3z and xyz = 36, what is the value of z?

1 Mark(s)

3
√3
2
none of these
√2

(17)^3.5 x (17)^? = 17⁸

1 Mark(s)

4.25
2.29
2.75
4.5

{1 /(1 + x^{(b - a)} + x^{(c - a)} )}+{ 1 /(1 + x^{(a - b)} + x^{(c - b)})} + {1/(1 + x^{(b - c)} + x^{(a - c)})}= ?

1 Mark(s)

1
None of these
0
x^{a - b – c}

Bangladesh Bank 2009 (AD)

If x = -1, Then –(x⁴+x³+x²+x) =

1 Mark(s)

0
-4
-10
4
10

If x = -1, then -(x⁴ + x³ + x² + x) = ?

1 Mark(s)

5
4
none of them
0
10

Premier Bank Ltd. (Trainee Junior Officer) 2013

If a²+b²=45 and ab=18, find 1/a+1/b

1 Mark(s)

1/2
2/3
1/3
Cannot be determined

Dhaka Bank Ltd. 2011 (MTO)

If (x² – y²) = 48 and (x – y) = 4, what is the average of x and y?

1 Mark(s)

12
8
6
10
None of these

If x = 5y = 16 and x = -3 then the value of y is -

1 Mark(s)

-8
-2
-24
8
2

If x=1+√2 and y=1-√2, find the value of (x²+y²)

1 Mark(s)

10
6
12
8

Agrani Bank Officer (Cash) 2012

If x + y = 9, y + z=7 and z + x = 9.What is the average of x, y and z?

1 Mark(s)

22/3
37/2
11/3
25/6
11

Janata Bank Officer 2012

If x = y + 4 and x = 20-y, then x²-y²=

1 Mark(s)

144
16
80
256

The value of -3 -(-10) is greater than the value of -10-(-3) by

1 Mark(s)

6
none of them
0
14
7

If (x-1)²=400, which of the following could be the value of x-5?

1 Mark(s)

-25
15
None of them
-24
14

Pubali Bank Jr. Officer 2012

If (x -1)² = 400, which of the following could b the value of x-5 ?

1 Mark(s)

-24
none of these
-25
14
15

Agrani Bank Officer (Cash) 2012

If 5x-3 = 2x + 9, the value of x is

1 Mark(s)

2.5
6
4
12.5
11

Islami Bank Bangladesh Ltd. (AO)-2013

If a +b = 10 and a-b = 20, then what will be the value of a/b?

1 Mark(s)

1/3
-1/3
-3
10/20

EXIM Bank Ltd. Officer (Cash) 2011

If a, b and c are three different positive integers less than 10 and greater than zero. What is the greatest possible value of the expression (a+b)/c?

1 Mark(s)

16
18
None of these
17
15

The cost of picture frame M is tk 10 less than 3 times the cost of picture frame N. If the cost of frame M is tk 50. What is the cost of frame N?

1 Mark(s)

tk.20
tk.26.66
tk.13.33
none of them
tk.16.66

Mercantile Bank Ltd. MTO 2013

If (a+a+a)=(b+b+b+b) and (a+b)=7, then what is the value of (a2-b2)?

1 Mark(s)

0
none of these
3
7
4

Dutch Bangla Bank Ltd, MTO 2012

If r = 3z and 9z = 6y,then r =?

1 Mark(s)

10y
None of these
y
2y
5y

Pubali Bank Sr. Officer 2012

If x + y = 6, y + z = 4 and z + x = 2, then 2y - z - x = ?

1 Mark(s)

8
2
0
None of them
6

Janata Bank (Sr. Officer 2012)

(1/10) 18- (1/10) 20 = ?

1 Mark(s)

none of them
99/10
0.9
10
99/1020

If 3^{(x - y)} = 27 and 3^{(x + y)} = 243, then x is equal to:

1 Mark(s)

4
6
0
2

Given that 10^0.48 = x, 10^0.70 = y and x^z = y², then the value of z is close to:

1 Mark(s)

2.9
3.7
1.45
1.88

Islami Bank Bangladesh Ltd. (AO)-2013

x + 5y = 16, x= -3y হলে y=?

1 Mark(s)

8
-24
2
-2

Bangladesh Bank 2009 (AD)

2/(a-b) – 5/(b-a)=

1 Mark(s)

-7/(b-a)
-10/(2ab-a^2-b^2)
-7/(a-b)
-3/(a-5)
-3/(b-a)

Janata Bank Officer 2012

If x is 11 percent greater than 80, then x = ?

1 Mark(s)

71.2
70.9
88.0
88.8

Mercantile Bank Ltd. MTO 2013

If x=2y=3z and xyz=36, what is the value of z?

1 Mark(s)

3
none of these
√2
2
√3

City Bank Ltd. 2011 (PO)

If r = 5z and 15z = 3y, then r=?

1 Mark(s)

2y
y
5y
10y
None of these

A rope of 40 feet long is cut into two pieces. If one piece is 18 feet longer than the other, what is the length, in feet, of the shorter piece?

1 Mark(s)

9
11
18
22
None of them

The value of [(10)¹⁵⁰ ÷ (10)¹⁴⁶]

1 Mark(s)

100000
10000
1000
10⁶

Janata Bank Officer 2012

If n is a number such that (-8)2n = 28+2n, then n=

1 Mark(s)

5
4
3/2
-2

Pubali Bank Jr. Officer 2012

A watch was sold at 15% loss. If the selling price was Tk. 8 more, then the seller could have made a profit of 10%. What was the purchese price of what watch?

1 Mark(s)

36
30
32
None of these
45

If (a/b)^{x - 1} = (b/a)^{x - 3}, then the value of x is:

1 Mark(s)

1/2
7/2
1
2

Janata Bank Officer 2012

If x is both the cube and the square of an integer and x is between 2 and 200, what is the value of x?

1 Mark(s)

16
8
64
125

United Commercial Bank Ltd. Trainee Officer 2014

Find the value of a if 27^a=15^b and 3^a=5^b

1 Mark(s)

1/2
0
1
2

Bangladesh Bank 2009 (AD)

If the operation ^ is defined by the equation x^y=2x+y, What is the value of a in 2^a=a^3?

1 Mark(s)

0
-1
None of these
4
1

Janata Bank (Sr. Officer 2012)

If x=y=2z and xyz = 256 then what is the value of x?

1 Mark(s)

none of them
16
8
12
6

Shajalal Islami Bank Ltd. 2013 (MTO)

If 4m=9n, what is the value of 7m, in terms of n?

1 Mark(s)

28n/9
9n/28
63n/4
7n/4
7n/9

Bangladesh Bank 2009 (AD)

Which of the following equations is not equivalent to 25x² = y²-4?

1 Mark(s)

None of these
5x= y-2
75x²=3y²-12
25x²=(y+2)(y-2)
25x²+4=y²

If 1/x+1/y=1/3, then xy/x+y=?

1 Mark(s)

1
3
1/3
1/5

AB Bank 2014 (Assistant Officer)

If x=2y=3z and xyz=36, what is the value of z?

1 Mark(s)

3
2
None of these
√3
√2

Janata Bank Officer 2012

If x²+y²= xy, then (x+y)⁴ = ?

1 Mark(s)

9 x ²y²
(x2 + y2)2
x2y2
xy

Pubali Bank Sr. Officer 2013

If xy = 2 and xy² = 8, what is the value of x?

1 Mark(s)

¹/₂
2
8
16
4

1 Mark(s)

1
2
3ⁿ
9

If x = 3 + 2√2, then the value of (√x - 1/√x) is:

1 Mark(s)

2
22
33
1

Pubali Bank Jr. Officer 2012

if a²+4a+13=1+a² , then find out the value of a²

1 Mark(s)

7
0
4
9

SBAC Bank Ltd MTO 2014

If 2x+3=32, what is the value of 3x+2?

1 Mark(s)

5
81
None
9
27

United Commercial Bank Ltd. Trainee Officer 2014

If a+b+c=0, find the value of a³+b³+c³/abc

1 Mark(s)

1
0
2
3

Pubali Bank Ltd. Senior Officer 2014

If x% of y is equal to z, what percent of z is x?

1 Mark(s)

100²/y
y/100²
100/y
y²/100

Agrani Bank Officer (Cash) 2012

If 2x = y and 3y = 2, the value of 9xy is-

1 Mark(s)

21
14
28
13.18
2

United Commercial Bank Ltd. Trainee Officer 2014

Find the factors of the expression x³-3x²-x+3

1 Mark(s)

(x-3)(x-1)²
(x-3)(x-1)(x+1)
(x+3)(x-1)(x+1)
(x³+3)(x+1)²

Pubali Bank Jr. Officer 2012

(1/2)×(3/4)×(8/4)×(8/2)×(1/2)=

1 Mark(s)

2/32
3/2
2/3
1
3/8

Bangladesh Bank 2009 (AD)

If 13= 13w/(1-w), the (2w)2=

1 Mark(s)

1/4
1
1/2
None of these
2

If ‘X’ men can do a work in 8 days and “X+4” men can do it in 6 days , what is the value of “X”?

1 Mark(s)

6
8
16
4
12

1/(1 + a^{(n - m)}) +1/ (1 + a^{(m - n)}) = ?

1 Mark(s)

0
1
1/2
a^{m + n}

Pubali Bank Jr. Officer 2012

If b < 2 and 2x -3b = 0, which of the following must be ture?

1 Mark(s)

x < 2
x > -3
x < 3
x = 3
x > 2

Bangladesh Bank 2010 (AD)

If y(4x-2/4)= y and y ≠ 0, then x = ?

1 Mark(s)

4
2
1/8
2/3
4/3

Pubali Bank Jr. Officer 2013

If x2 + y2 = 4 and x2-p2 = – 4 then x4 + y4 is

1 Mark(s)

-16
8
none of them
16
0

BDBL, Officer 2014

x varies as inversely as square of y. Given that y=2 for x=1. The value of x for y=6 will be equal to :

1 Mark(s)

9
1/9
3
1/5

Bangladesh Bank 2009 (AD)

x= 2y+3 and y= -2; Quantity A = x and Quantity B = -1

1 Mark(s)

The relationship cannot be determined from the information given
None of these
Quantity A is greater
The two quantities are equal
Quantity B is greater

(256)^0.16 x (256)^0.09 = ?

1 Mark(s)

256.25
16
64
4

Janata Bank Officer 2012

Which one of the following is a solution to the equation x⁴– 2x² = -1?

1 Mark(s)

3
1
2
4

Shajalal Islami Bank Ltd. 2013 (MTO)

Which of the following cannot be a value of 1/(x-1)?

1 Mark(s)

2/3
0
-1
1
2

(x^b/x^c)^{(b + c - a)} . ( x^c/ x^a) ^{(c + a - b)}. (x^a / x^b)^{(a + b - c)}= ?

1 Mark(s)

x^{ab + bc + ca}
x^{a + b + c}
x^abc
1

Pubali Bank Jr. Officer 2012

If a and b are positive integers and (a-b) / 3.5 = 4/7, then

1 Mark(s)

b > = a
b > a
b < a
b = a
none of these

Which of the following equation is not equivalent to 25x²=y²-4

1 Mark(s)

25x²+4=y²
None of them
5x=y-2
25x²=(y+2)(y-2)
75x²=3y²-12

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

যদি x/y = y^-4 হয়, তবে x এর মান কোনটি হবে?

1 Mark(s)

y^-4
y^-2
y^-3
1/y

If x²-4x+3 equals 0, then what is the value of (x-2)²?

1 Mark(s)

3
1
2
0

Janata Bank (Sr. Officer 2012)

If 2x-y = 4 then 6x-3y =?

1 Mark(s)

12
10
18
15
none of them

Al-Arafah Islami Bank Ltd. (MTO) 2011

If n + n = K + K+ K and n + k = 5, then n =?

1 Mark(s)

2
3
6
5

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

⁴√x X x^1/4এর সঠিক মান কোনটি?

1 Mark(s)

1
x
x^1/4
√x

Pubali Bank Sr. Officer 2012

In a sugar water solution, the ratio of water to sugar is 8:3,if you add 2 kgs of sugar the ratio becomes 2:1,what was the amount of sugar in the original solution ?

1 Mark(s)

5
4.5
8
6
None of them

If n is an even positive integer and k+2 = 3n, which of the following could be a value of k?

1 Mark(s)

7
1
25
4
none of them

Janata Bank (Sr. Officer 2012)

If a-b=3 and a²+b²=29, find the value of ab.

1 Mark(s)

10
18
15
none of them
12

Janata Bank Officer 2012

If x + 5 > 2 and x – 3 < 7, the value of x must be between which of the following pairs of numbers?

1 Mark(s)

-3 and 4
2 and 7
-1 and 10
3 and 10

(25)^7.5 x (5)^2.5 ÷ (125)^1.5 = 5?

1 Mark(s)

8.5
13
17.5
None of these
16

Solution(Bank-Math)Q2 : Question 1 of 99

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