1891 . If 6x-14<8x+2, which of the following must be true ?

A. x<2
B. x>8
C. x<8
D. x>-8
E. None of these

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Answer: Option D

Explanation:

6x-14<8x+2

-14-2<8x-6x

-16<2x

-8

So, x>-8

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1892 . If 7 workers can assemble a car in 8 hours, how long it would take 12 workers to assemble the same car?

A. $3 h o u r s$
B. $3 \frac{1}{2} h o u r s$
C. $4 \frac{2}{3} h o u r s$
D. $5 h o u r s$

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Answer: Option A

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Uttara Bank PLC || Probationary Officer (09-11-2024) || 2024

A. 2
B. 7
C. 8
D. all of these

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Answer: Option A

Explanation:

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গ্যাস ট্রান্সমিশন কোম্পানি লিমিটেড | সহকারী ব্যবস্থাপক | ২০.০৪.২০১৮

1894 . If $(7^{a}) (7^{b}) = 7^{c} 7^{d},$ what is d in term of a b and c ?

A. $3 / a b$
B. $c - a - b$
C. $a + b - c$
D. $c - a b$

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Answer: Option D

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অফিসার (জেনারেল) - 12.11.2021

A. 33.33%
B. 20%
C. 4%
D. 25%

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Answer: Option A

Explanation:

Remaining men = 8 - 2 = 6

8 men can do the job in 12 days

So, 6 men can do te job in 12×8/6 = 16 days

Increase percentage in number of days = (16 - 12) / 12 × 100% = 33.33%

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1896 . If 8 men can reap 801 hectares in 24 days, then dhow many hectares can 36 men reap in 30 days?

A. 350
B. 400
C. 450
D. 425

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Answer: Option C

Explanation:

8 men in 24 days reap 80 hectares

∴1 men in 1 days reap 80/(8×24) hectares

∴36 men in 30 days reap (80×36×30)/(24×8) hectares

= 450 hectares

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1897 . If 8x+8y=64, what is the average of x and y?

A. 16
B. 64
C. 8
D. 4

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Answer: Option D

Explanation:

x এবং y এর গড় অর্থাৎ (x + y)/2 এর মান বের করতে হবে ।

এখন, 8x + 8y = 64

= > 8 (x + y) = 64

= > 8(x + y)/16 = 64/16 [ 16 দ্বারা উভয় পক্ষকে ভাগ করে ]

= > (x + y)/2 = 4

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1898 . If 8x + 8y = 64, what is the average of x and y?

A. 16
B. 4
D. 1

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Answer: Option B

Explanation:

x এবং y এর গড় অর্থাৎ (x + y)/2 এর মান বের করতে হবে ।

এখন, 8x + 8y = 64

= > 8 (x + y) = 64

= > 8(x + y)/16 = 64/16 [ 16 দ্বারা উভয় পক্ষকে ভাগ করে ]

= > (x + y)/2 = 4

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1899 . If 90% of A = 30% of B and B = x% of A, then the value of x is-

A. 600
B. 300
C. 900
D. 800

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Answer: Option B

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

A. 1/2
B. 3/2
C. 7/2
D. 5/2

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Answer: Option A

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1901 . If A's income is 25% more than B's income, then the percentage of B's income in terms of A's income is:

A. 80%
B. 70%
C. 60%
D. 40%

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Answer: Option A

Explanation:

Here, A : B = 5 : 4 = 100 : 80

So, B's income in terms of A's income=80% (Ans)

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One Bank Ltd || Special Cadre Officer (03-01-2025) || 2025

1902 . if $a + b + c = 0$ , the value of $\frac{a^{2}}{b c} + \frac{b^{2}}{c a} + \frac{c^{2}}{a b}$ is -

A. $3 a b c$
B. $\frac{1}{3}$
C. $1$
D. $3$

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Answer: Option D

Explanation:

we have (a^{3} + b^{3} + c^{3} - 3 abc) = (a + b + c) \times (a^{2} + b^{2} + c^{2} - ab - bc - ac) when a + b + c = 0 [given] then, a^{3} + b^{3} + c^{3} = 3 abc \Rightarrow \frac{a^{3}}{abc} + \frac{b^{3}}{abc} + \frac{c^{3}}{abc} = 3 \Rightarrow \frac{a^{2}}{bc} + \frac{b^{2}}{ac} + \frac{c^{2}}{ab} = 3

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

A. 1
B. -1
C. 3/23
D. 2

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Answer: Option B

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উত্তরা ব্যাংক | অ্যাসিস্ট্যান্ট অফিসার | 23-07-2022

1904 . If a+b =8 and ab =12 then find the value of a2-b2

A. 16
B. 32
C. 36
D. 49

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Answer: Option B

Explanation:

G i v e n, a + b = 8, a b = 12 ∴ a^{2} - b^{2} = (a + b) (a - b) = 8 \times 4 = 32 ∴ a^{2} - b^{2} = 32 B u t w e k n o w, (a - b) = \sqrt{{(a + b)}^{2} - 4 a b} = \sqrt{64 - 48} = \sqrt{16} = 4

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DESCO Recruitment Test 2022 | Sub Station Attendant | 17.09.2022

A. a + b < c
B. a - b < c
C. a + b = c
D. a+b≥c

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Answer: Option B

Explanation:

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সমন্বিত ৭ ব্যাংক || অফিসার (ক্যাশ) (24-05-2024)

1891 . If 6x-14<8x+2, which of the following must be true ?

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1893 . If 7> x > 2 and 3 < x < 8, which of the following best describes x?

1895 . If 8 men can do a job in 12 days, what is the percentage increase in the number of days required to do the job when 2 men are released?

1896 . If 8 men can reap 801 hectares in 24 days, then dhow many hectares can 36 men reap in 30 days?

1897 . If 8x+8y=64, what is the average of x and y?

1898 . If 8x + 8y = 64, what is the average of x and y?

1899 . If 90% of A = 30% of B and B = x% of A, then the value of x is-

1900 . If 92x + 1 = 81, then x =?

1901 . If A's income is 25% more than B's income, then the percentage of B's income in terms of A's income is:

1903 . If a+b+c=12, a+b=4, and a+c=7 what is the value of a?

1905 . If a, b, and c are the lengths of the three sides of a triangle, then which of the following is true?

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