Equation and Inequality
if y/x = 1/3 and x + 2y = 10, then x is--/যদি y/x = 1/3 এবং x + 2y = 10 হয় তাহলে x = ?
- ক. 2
- খ. 3
- গ. 4
- ঘ. 6
উত্তরঃ 6
If two non-zero positive integers p and q are such that p = 4q and p < 8, then q =?
- ক. 1
- খ. 2
- গ. 3
- ঘ. 4
উত্তরঃ 1
Which of the following describes all values of x for which 1 - x2 ≥ 0?
- ক. x ≥ 1
- খ. x ≤ - 1
- গ. 0 ≤ x ≤ 1
- ঘ. x ≤ - 1 or x ≥ 1
উত্তরঃ 0 ≤ x ≤ 1
- ক. 5 meters
- খ. 6 meters
- গ. 7 meters
- ঘ. 11 meters
উত্তরঃ 11 meters
If x ≥ 10 and y ≤ 7, which of the following must be true?
- ক. x + y ≥ 3
- খ. x + y ≤ 7
- গ. x - y ≤ 3
- ঘ. x - y ≤ 10
উত্তরঃ x - y ≤ 3
If b < 2 and 2x - 3b = 0, which of the following must be true?
- ক. x > -3
- খ. x < 2
- গ. x = 3
- ঘ. x < 3
উত্তরঃ x < 3
If y = (3x - 6)/x, then for what values of x, y will be positive?
- ক. x > 2 or x < 0
- খ. x > 0
- গ. x < 0
- ঘ. -2 < x < 2
উত্তরঃ x > 2 or x < 0
If C/5 = R/4 = (F - 32)/9, then what will be the value of C and R if F = 140?
- ক. C = 0, R = 0
- খ. C = 60, R = 48
- গ. C = 80, R = 100
- ঘ. C = 140, R = 140
উত্তরঃ C = 60, R = 48
- ক. 13
- খ. 16
- গ. 19
- ঘ. 25
উত্তরঃ 19
- ক. Tk.(5.00x + 12x + 12.00y)
- খ. Tk.(5x - 12.00y)
- গ. Tk.5.00(x - y)
- ঘ. Tk.7.00(x - y)
উত্তরঃ Tk.(5x - 12.00y)
f(x) = -1 for all x > 0. If f(a) = -1 and f(ab) = -1 then b =?
- ক. 1
- খ. 3
- গ. -1
- ঘ. -3
সঠিক উত্তরের জয় বিস্তারিত দেখুন
If p = 3/5, q = 7/9 and r = 5/7, then
- ক. p < q < r
- খ. q < r < p
- গ. p < r < q
- ঘ. None of these
উত্তরঃ p < r < q
Which of the following inequalities is true?
- ক. 0 < 1/10 < 0.01
- খ. 0.12 < 1/8 < 0.13
- গ. 0.30 < 1/4 < 0.50
- ঘ. 0.30 < 1/3 < 0.33
উত্তরঃ 0.12 < 1/8 < 0.13
- ক. 2uv
- খ. (u2 + v2)2
- গ. u2 + v2
- ঘ. (2uv)2 + (u2 + v2)2
উত্তরঃ (u2 + v2)2
If x = 5y = 16 and x = -3, then the value of y is--
- ক. -24
- খ. -8
- গ. -2
- ঘ. 2
সঠিক উত্তরের জয় বিস্তারিত দেখুন
- ক. 12
- খ. 15
- গ. 6
- ঘ. 8
উত্তরঃ 8
If x + y > 5 and x _ y > 3, then which of the following gives all & only possible values of x?
- ক. x > 4
- খ. x < 5
- গ. x > 5
- ঘ. x < 3
উত্তরঃ x > 4
If 0.04 ×0.4 × a = 0.4 × 0.04 ×b, then the value of a/b is:
- ক. 0.016
- খ. 1.60
- গ. 0.16
- ঘ. None of these
উত্তরঃ 0.016
If 2n = 128 and y = 5, then 2n - 1 × 5n - 2y - 1 =?
- ক. 100000
- খ. 1000000
- গ. 10000000
- ঘ. None of these
উত্তরঃ 100000
What is the value of t2 + 2t + 1t + 1 × n2 + nn3 + 2n2 + n =?
- ক. t/n
- খ. (t + 1)/(n + 1)
- গ. t2/n
- ঘ. (t + 1)/(n - 1)
উত্তরঃ (t + 1)/(n + 1)
The solution set of the inequality (2x + 1) < 9(4 - x) is--
- ক. -5 < x < 7/4
- খ. x ≤ -5 and x ≥ 7/4
- গ. -7/4 < x < 5
- ঘ. x > 5 and x < -7/4
সঠিক উত্তরের জয় বিস্তারিত দেখুন
If x = -1, which of the following has the largest value?
- ক. 2x
- খ. 4x
- গ. 8x
- ঘ. x/2
সঠিক উত্তরের জয় বিস্তারিত দেখুন
- ক. Tk.150 or 8500
- খ. Tk.175 or 11700
- গ. Tk.180 or 10800
- ঘ. Tk.195 or 9000
সঠিক উত্তরের জয় বিস্তারিত দেখুন
If 1/x > 1/y, then which of the following must be true?
- ক. y > x
- খ. x > y
- গ. x < 0
- ঘ. y < 0
উত্তরঃ y > x
If 6x - 14 < 8x + 2 which of the following must be true?
- ক. x < 2
- খ. x > 8
- গ. x < 8
- ঘ. x > -8
উত্তরঃ x > -8
- ক. x/2 - 500
- খ. (x + 1000)/2
- গ. (2x - 500)/2
- ঘ. 2x - 1000
উত্তরঃ x/2 - 500
By how much is the value of {-10 - (-7)} greater than the value of {-10 + (-7)}?
- ক. -20
- খ. 20
- গ. 0
- ঘ. 14
উত্তরঃ 14
- ক. 3 ≤ x ≤ 12
- খ. 3 ≤ x ≤ 17
- গ. 3 ≤ x ≤ 10
- ঘ. 3 ≤ x ≤ 14
উত্তরঃ 3 ≤ x ≤ 17
The reciprocal of p/n is n/p and vice versa. Which of the following is the reciprocal of 3/√12?
- ক. √2/3
- খ. 2/√3
- গ. 4√3/3
- ঘ. 12/9
উত্তরঃ 2/√3
- ক. (X + Y)/(N + 1)
- খ. (NX + Y)/(N + 1)
- গ. {N(X + Y)}/(N + 1)
- ঘ. {N(X + Y) - 1}/N
উত্তরঃ (NX + Y)/(N + 1)
If (x2 - 4x + 9) = 6, which of the following must be false?
- ক. x = 1
- খ. x = 3
- গ. x > 3
- ঘ. x > 0
উত্তরঃ x > 3
If (x2 - 8x + 22) = 6, which of the following must be false?
- ক. x = 4
- খ. x = -4
- গ. x > 0
- ঘ. x > 3
উত্তরঃ x > 0
If point P is on line AB, which of the following is always true?
- ক. AP = PB
- খ. AP > PB
- গ. PB > AP
- ঘ. AB > AP
উত্তরঃ AB > AP
If x + y > 4 and x > 3, then y > 1 is true.
- ক. always
- খ. only if x < 0
- গ. only if x > 0
- ঘ. only if x = 0
উত্তরঃ always
If -1 < x ≤ 1 and x is an integer, then value of x is--
- ক. 0 only
- খ. 1 only
- গ. 0 and 1
- ঘ. one value more than 1
উত্তরঃ 0 and 1
If a = 2/7, b = 1/3, x = 1/8, the value of y = a - 3b + 16x is--
- ক. 16/7
- খ. 9/7
- গ. 7/16
- ঘ. 1
উত্তরঃ 9/7
If 3 subtracted from a number, the result is 6 more than twice the number. The number is--
- ক. -3
- খ. -9
- গ. 3
- ঘ. 9/7
উত্তরঃ -9
(2x + 2y + x2 - y2)/(x + y) =?
- ক. (x - y)/(x + y)
- খ. (x - y)2/(x + y)
- গ. x - y
- ঘ. 2(x - y)
সঠিক উত্তরের জয় বিস্তারিত দেখুন
If x + 2y = 4, and x/y = 2 then determine the value of x and y.
- ক. 1, 2
- খ. 2, 4
- গ. 2, 1
- ঘ. 3, 4
উত্তরঃ 2, 1
If x + 2y ≤ 3, x > 0 and y > 0, then one of the solutions is--
- ক. x = -1, y = 2
- খ. x = 2, y = 1
- গ. x = 1, y = 1
- ঘ. x = 0, y = 0
উত্তরঃ x = 1, y = 1
Which of the following inequalities is the solution to the inequality 7x - 5 < 2x + 18?
- ক. x < 13/5
- খ. x > 23/9
- গ. x < 23/9
- ঘ. x > 23/5
সঠিক উত্তরের জয় বিস্তারিত দেখুন
If 3x - 4y > 2x + 3y, then which of the following must be true?
- ক. x > y
- খ. y > x
- গ. x > 0
- ঘ. y > 0
উত্তরঃ x > y
If x + y = a and x - y = b, then 2xy =
- ক. (b2 - a2)/2
- খ. (a2 - b2)/2
- গ. (a - b)/2
- ঘ. ab/2
উত্তরঃ (a2 - b2)/2
If b + a = x and a - b = y, then a2 - b2 =
- ক. (x2 - y2)/2
- খ. (x2 - y)/2
- গ. 2xy
- ঘ. xy/2
সঠিক উত্তরের জয় বিস্তারিত দেখুন
If Tk./$ = 68 and Tk./£ = 102, then cross rate of £/$ is equal to:
- ক. 3/2
- খ. 2/3
- গ. 5/2
- ঘ. 5/3
উত্তরঃ 2/3
- ক. I only
- খ. II only
- গ. I and II only
- ঘ. I and III only
উত্তরঃ I only
- ক. i only
- খ. i and ii
- গ. ii and iii
- ঘ. i and iii
উত্তরঃ ii and iii
If u > t, r > q, s > t, t > r which of the followings must be true I. u > s II. s > q III. u > r
- ক. I only
- খ. II only
- গ. II and III only
- ঘ. III only
উত্তরঃ II and III only
- ক. 1044
- খ. 2088
- গ. 720
- ঘ. 324
উত্তরঃ 2088
- ক. -10/(2ab -a - b)
- খ. -3/(a - b)
- গ. -7/(a - b)
- ঘ. -7/(b - a)
উত্তরঃ -7/(b - a)
- ক. 0
- খ. 1
- গ. -1
- ঘ. 4
উত্তরঃ 1
If a and b are positive integers and (a - b)/3.5 = 4/7, then--
- ক. b < a
- খ. b > a
- গ. b = a
- ঘ. b ≥ a
উত্তরঃ b < a
What will be the result if (4x + 20)/4 is subtracted from (x + 10)?
- ক. 5
- খ. x
- গ. x/2
- ঘ. 2 - x
উত্তরঃ 5
If the average of two numbers is M and the larger number is L, what is the other number?
- ক. M - L
- খ. L - M
- গ. 2M - L
- ঘ. L - 2M
উত্তরঃ 2M - L
- ক. c = (5 + 2.25)r
- খ. c = 5r + 2.25
- গ. c = 5 + 2.25r
- ঘ. c = 5 + (5 - 2.25)r
উত্তরঃ c = 5 + 2.25r
If (x - 1)2 = 400, which of the following could be the value of x - 5?
- ক. 15
- খ. 14
- গ. -24
- ঘ. -25
উত্তরঃ -24
Which of the following equations is not equivalent to 25x2 = y2 - 4?
- ক. 25x2 + 4 = y2
- খ. 7x2 = 3y2 - 12
- গ. 25x2 = (y + 2)(y - 2)
- ঘ. 5x = y - 2
সঠিক উত্তরের জয় বিস্তারিত দেখুন