316 . If the sum of 5, 8, 12 and 15 is equal to the sum of 3, 4, x and x+3, what is the value of x?

A. 14
B. 15
C. 16
D. 17

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Answer: Option B

Explanation:

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

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Answer: Option A

Explanation:

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A. 5785
B. 6272
C. 7190
D. 8225

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Answer: Option B

Explanation:

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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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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.

321 . 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

Explanation:

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

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

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Answer: Option C

Explanation:

323 . 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

Explanation:

324 . 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).

325 . 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

সঠিক উত্তর অপশনে নাই

326 . 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

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।

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

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Answer: Option D

Explanation:

329 . 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

Explanation:

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

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

316 . If the sum of 5, 8, 12 and 15 is equal to the sum of 3, 4, x and x+3, what is the value of x?

317 . If three boys can paint a wall in 2 days , what part of the job can be completed by two boys in 1 day ?

318 . If Tk. 5,000 is invested at 12% annual rate of interest, how much will the investment be worth after 2 years?

319 . 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?

320 . 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?

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

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

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

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

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

326 . 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

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

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

329 . 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?

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

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