271 . 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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272 . 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:

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273 . 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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274 . 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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275 . 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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276 . 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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277 . 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।

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278 . 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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Bangladesh Bank - Assistant Director - 2013 ||

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

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Answer: Option D

Explanation:

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280 . 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. 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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282 . $i f \frac{1}{x} > 1,$ 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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Uttara Bank PLC || Probationary Officer (09-11-2024) || 2024

283 . $i f {(2 x - 1)}^{2}$ = 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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সমন্বিত ব্যাংক অফিসার (ক্যাশ) || (02-06-2023)

284 . $i f (89^{2})$ 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

Explanation:

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Basic bank recruitment 2018; auditor 26.01.2018 || Image 2018

285 . $i f a^{x} = b a n d b^{y} = a$ then find the value of xy.

A. 1
C. a
D. y

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Answer: Option A

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বাংলাদেশ ব্যাংক || অফিসার (ক্যাশ) (21-07-2023) || 2023

271 . 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?

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

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

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

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

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

277 . 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

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

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

280 . 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?

281 . 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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