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.

প্রিমিয়াম প্ল্যান: ১ মাস

99 ৳

৩০ দিনের জন্য সকল লাইভ এবং আর্কাইভ মডেল টেস্ট, প্রশ্ন ব্যাংক ও লেকচার শিট সহ অ্যাপ এর প্রিমিয়াম সব এক্সেস পাবেন।

সাবস্ক্রিপশন লিংক

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:

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

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

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Answer: Option C

Explanation:

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

View Answer	Favorite Question

Answer: Option E

Explanation:

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

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

View Answer	Favorite Question

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).

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

View Answer	Favorite Question

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

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

View Answer	Favorite Question

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।

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

View Answer	Favorite Question

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

View Answer	Favorite Question

Answer: Option D

Explanation:

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

View Answer	Favorite Question

Answer: Option B

Explanation:

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 = ?

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

View Answer	Favorite Question

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

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. $\frac{1}{x^{2}} < 1$

View Answer	Favorite Question

Answer: Option D

Explanation:

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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

View Answer	Favorite Question

Answer: Option C

Explanation:

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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

View Answer	Favorite Question

Answer: Option C

Explanation:

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

A. 1
C. a
D. y

View Answer	Favorite Question

Answer: Option A

Explanation:

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?

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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