3826 . $i f (89^{2})$ is added to the square of a number, the answer so obtained is 16292. what is the $\frac{1}{26}$ of that number

A. 5.65
B. 2.70
C. 3.50
D. 6.66

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Answer: Option C

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3827 . $i f {(2 x - 1)}^{2}$ = 100 then which one of the following could equal x?

A. -11/2
B. -9/2
C. 11/2
D. 13/2

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Answer: Option C

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3828 . $i f \frac{1}{x} > 1,$ which of the following must be true?

A. $1 < x^{2}$
B. $\frac{1}{x^{2}} > 2$
C. $x^{2} > 1$
D. $\frac{1}{x^{2}} < 1$

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Answer: Option D

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A. 2
B. 3
C. 4
D. 6

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Answer: Option D

Explanation:

Y/X = 1/3

বা, x = 3

এখন, x + 2y = 10

3y + 2y = 10

5y = 10

y = 10/8 = 2

x = 3 × 2 = 6

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3830 . If x is the average (arithmetic mean) of m and 9, y is the average of 2m and 15, and z is the average of 3m and 18, What is the average of x, y and z in terms of m?

A. m+6
B. m+7
C. 2m+14
D. 2m+14

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Answer: Option B

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প্রবেশনারি অফিসার | 02-04-2022

A. x - 1
B. x + 1
C. x + 2
D. 2x + 2

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Answer: Option D

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3832 . If x and y are consecutive positive integers, which of the following must be an even integer ?

A. x
B. y
C. xy/2
D. x/y
E. xy

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Answer: Option E

Explanation:

As x and y are consecutive positive integers. Let , x = 1 and y = 2,

As we know that, odd × even = even

so, xy = 1×2 = 2

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

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Answer: Option E

Explanation:

x odd হলেই x + 11 even হবে। তাই 2 দিয়ে ভাগ যাবে।

Similarly, x + 9, 2 দ্বারা বিভাজ্য।

but x, 9 এর. multiple হতে পারে but must নয়।

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3834 . If x = 5y = 16 and x = -3, then the value of y is--

A. -24
B. -8
C. -2
D. 2
E. -0.6

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Answer: Option E

Explanation:

x = 5y = 16

5y = 16

y = 16/5 = 3.2

Again, 5y = x = - 3

y = - 3/5 = - 0.6

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3835 . If x = -1, which of the following has the largest value?

A. 2x
B. 4x
C. 8x
D. x/2
E. x/4

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Answer: Option E

Explanation:

1. 2×(-1)=-2

2. 4×(-1)=-4

3. 8×(-1)=-8

4. -½=-0.5

5. -¼=-0.25 (largest value).

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3836 . If x = -1, then x6 - x5 + x3 + x2 - x1 - x =?

A. -3/2
B. -1/2
C. 1
D. 2
E. None of these

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Answer: Option E

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3837 . If x = -1, then - (x4 + x3 + x2 + x) =

A. - 10
B. - 4
D. 4
E. 10

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Answer: Option C

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3838 . If x + 2y = 4, and x/y = 2 then determine the value of x and y.

A. 1, 2
B. 2, 4
C. 2, 1
D. 3, 4

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Answer: Option C

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3839 . If two planes leave the same airport at 1:00 pm, how many miles apart will they be at 3:00 pm if one travels directly north at 150 mph and the other travels directly west at 200 mph?

A. 50 miles
B. 100 miles
C. 500 miles
D. 700 miles
E. None of these

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Answer: Option C

Explanation:

The initial position of the plane along with their final positions will make a right - angled triangle and the hypotenuse of that triangle will be the direct distance between them at 3 pm. Now, travel time from 1 pm to 3 pm is 2 hours.

So, distance covered towards North = 150 x 2 = 300 miles and towards west = 200 x 2 = 400 miles.

Therefore, their direct distance = (3002 + 4002)1/2 = (90000 + 160000)1/2 = 2500001/2 = 500 miles.

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3840 . If Tk.1000 is invested in a account paying 10% compounded monthly, how much would be the nearest ending balanced at end of 10 years?

A. Tk.1104
B. Tk.2594
C. Tk.2840
D. Tk.2208
E. Tk.2708

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Answer: Option E

Explanation:

To find the nearest ending balance, we can use the formula for compound interest:

A = P * (1 + r/n)(n×t)

where: P = Tk. 1,000 (the initial investment) r = 10% (the annual interest rate) n = 12 (compounded monthly) t = 10 years

Plugging in the values, we get:

A = 1000 × (1 + 0.1/12)(12×10) ≈ Tk. 2,594.49

Therefore, the nearest ending balance at the end of 10 years is approximately Tk. 2,594.49.

So, answer is None.

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3829 . if y/x = 1/3 and x + 2y = 10, then x is--/যদি y/x = 1/3 এবং x + 2y = 10 হয় তাহলে x = ?

3830 . If x is the average (arithmetic mean) of m and 9, y is the average of 2m and 15, and z is the average of 3m and 18, What is the average of x, y and z in terms of m?

3831 . If x is an integer, then which of the following is always an even integer?

3832 . If x and y are consecutive positive integers, which of the following must be an even integer ?

3833 . If x and (x + 11)/2 are integers, which of the following must be true? i. x is odd ii. x is a multiple of 9 iii. (x + 9)/2 is an integer

3834 . If x = 5y = 16 and x = -3, then the value of y is--

3835 . If x = -1, which of the following has the largest value?

3836 . If x = -1, then x6 - x5 + x3 + x2 - x1 - x =?

3837 . If x = -1, then - (x4 + x3 + x2 + x) =

3838 . If x + 2y = 4, and x/y = 2 then determine the value of x and y.

3839 . If two planes leave the same airport at 1:00 pm, how many miles apart will they be at 3:00 pm if one travels directly north at 150 mph and the other travels directly west at 200 mph?

3840 . If Tk.1000 is invested in a account paying 10% compounded monthly, how much would be the nearest ending balanced at end of 10 years?

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