1771 . If (X + Y) = 9 and X/Y = 2, then X is equal to:

A. 3
B. 4
C. 5
D. 6

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Answer: Option D

Explanation:

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1772 . If (x-1)^2 =400, which of the following could be the value of x-5?

A. 15
B. 14
C. -24
D. -25
E. none of them

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Answer: Option C

Explanation:

Here, (x - 1)² = 400

or, x - 1 = ±√400 = ±20

or, x = 1 ± 20

Then, x - 5 = 1 ± 20 - 5 = - 24, 16

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1773 . If * is defined for all positive real numbers a and b by ab=ab/(a+b), then 102=?

A. 5/3
B. 5/2
C. 5
D. 20/3

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Answer: Option A

Explanation:

According to the question,

a = 10

b = 2

Then, a*b = ab/(a + b)

or, 10*2 = 10×2/(10 + 2)

or,10*2 = 20/12

or,10*2 = 5/3

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Bangladesh bank - officer ( general) - 27.04.2018

A. 0 only
B. 1 only
C. 0 and 1
D. one value more than 1

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Answer: Option C

Explanation:

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1775 . If $- 1 \leq 3 - 2 x \leq 3,$ then---

A. $0 \leq x \leq 2$
B. $- 2 \leq x 0$
C. $x \leq 2$
D. $x \geq 0$

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Answer: Option A

Explanation:

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অফিসার (জেনারেল) - 12.11.2021

A. t > 7/2
B. t < 7/2
C. t > 1
D. t > -7/2

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Answer: Option B

Explanation:

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1777 . If -8 ≤ x ≤ 8 and ≤ y ≤ 14, what is the greatest possible value of (y-x)?

A. 22
B. 8
C. 6
D. -8
E. None of these

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Answer: Option A

Explanation:

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1778 . If 0.04 × 0.4 × a = 0.4 × 0.04 × b, then the value of ab is:

A. 0.016
B. 1.60
C. 016
D. None of these

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Answer: Option A

Explanation:

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1779 . If 0 < a2 < b, which of the following statements is/are always true? i. a < b/a ii. a4 < a2b iii. a2/b < 1

A. i only
B. i and ii
C. ii and iii
D. i and iii

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Answer: Option C

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1780 . If 0 ≤ x ≤ 4 and y > 12 which of the following cannot be the value of xy?

A. 48
B. 24
C. -2
D. 6

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Answer: Option A

Explanation:

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SBAC Bank PLC || Trainee Junior Officer (28-09-2024) || 2024

A. 3:4
B. 3:20
C. 20:3
D. 2:3

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Answer: Option B

Explanation:

.04 of x = . 06 of y

x/y = . 06/.4

x/y = 3/20

x : y = 3 : 20

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Bangladesh Bank - Officer(Cash) - 2016

1782 . If $0 < x \leq 1$ , then which one of the following is the maximum value of ${(x - 1)}^{2} + x = ?$

A. 1
B. 2
D. -1

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Answer: Option A

Explanation:

Given that 0 < x ≤ 1

Placing value of x = 1 in the above equation:

(1−1)^2+1=1(1-1)^2+1 = 1

Answer = 1

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সমন্বিত ১০ ব্যাংক ও আর্থিক প্রতিষ্ঠান || সিনিয়র অফিসার (10-11-2023)

A. 1
C. 1/2
D. 3/2

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Answer: Option A

Explanation:

o find the maximum value of cos(x/3) when 0 ≤ x ≤ π/2, we can analyze the properties of the cosine function.

The cosine function reaches its maximum value of 1 when the argument (angle) is 0. In this case, the argument is x/3.

Since 0 ≤ x ≤ π/2, we have 0 ≤ x/3 ≤ π/6 (because π/6 is one-sixth of π/2). In this range, cos(x/3) will be maximized when x/3 = 0, which means x = 0.

So, the maximum value of cos(x/3) is cos(0) = 1.

Therefore, the maximum value of cos(x/3) when 0 ≤ x ≤ π/2 is 1.

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1784 . If 0≤x≤4 and y<12 , which of the following cannot be the value of xy?

A. 48
B. 24
C. -2
D. 6

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Answer: Option A

Explanation:

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Standard Bank Plc || Trainee Assistant Officer (15-03-2025) || 2025

1785 . If $0 \leq x \leq π / 2,$ What is the maximum value of $\cos (x / 3) ?$

A. $1$
B. $0$
C. $1 / 2$
D. $3 / 2$

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Answer: Option A

Explanation:

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সমন্বিত ৭ ব্যাংক || সিনিয়র অফিসার-05-11-2021 ||

1771 . If (X + Y) = 9 and X/Y = 2, then X is equal to:

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1772 . If (x-1)^2 =400, which of the following could be the value of x-5?

1773 . If * is defined for all positive real numbers a and b by ab=ab/(a+b), then 102=?

1774 . If -1 < x ≤ 1 and x is an integer, then value of x is--

1776 . If -3t + 8 > t - 6, then--

1777 . If -8 ≤ x ≤ 8 and ≤ y ≤ 14, what is the greatest possible value of (y-x)?

1778 . If 0.04 × 0.4 × a = 0.4 × 0.04 × b, then the value of ab is:

1779 . If 0 < a2 < b, which of the following statements is/are always true? i. a < b/a ii. a4 < a2b iii. a2/b < 1

1780 . If 0 ≤ x ≤ 4 and y > 12 which of the following cannot be the value of xy?

1781 . If 0.4 of a number is equal to 0.06 of another number, the ratio of the numbers is :

1783 . If 0≤x≤ π/2, What is the maximum value of cos (x/3)?

1784 . If 0≤x≤4 and y<12 , which of the following cannot be the value of xy?

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1771 . If (X + Y) = 9 and X/Y = 2, then X is equal to:

BdMerit-এর ১ বছরের প্রিমিয়াম প্যাকেজ কিনে ১০ মাস নিয়মিত প্রস্তুতি নিন—

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1772 . If (x-1)^2 =400, which of the following could be the value of x-5?

1773 . If * is defined for all positive real numbers a and b by a*b=ab/(a+b), then 10*2=?

1774 . If -1 < x ≤ 1 and x is an integer, then value of x is--

1776 . If -3t + 8 > t - 6, then--

1777 . If -8 ≤ x ≤ 8 and ≤ y ≤ 14, what is the greatest possible value of (y-x)?

1778 . If 0.04 × 0.4 × a = 0.4 × 0.04 × b, then the value of ab is:

1779 . If 0 < a2 < b, which of the following statements is/are always true? i. a < b/a ii. a4 < a2b iii. a2/b < 1

1780 . If 0 ≤ x ≤ 4 and y > 12 which of the following cannot be the value of xy?

1781 . If 0.4 of a number is equal to 0.06 of another number, the ratio of the numbers is :

1783 . If 0≤x≤ π/2, What is the maximum value of cos (x/3)?

1784 . If 0≤x≤4 and y<12 , which of the following cannot be the value of xy?

1773 . If * is defined for all positive real numbers a and b by ab=ab/(a+b), then 102=?