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31 . If $2^{n} = 32$ then what is $n^{2} = ?$ ..

A. 16
B. 25
C. 64
D. 56

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Answer: Option B

Explanation:

2ⁿ =32

=> 2ⁿ = 25

=> n = 5

=> n² =25

স্বাস্থ্য অধিদপ্তর ।। মেডিকেল টেকনোলজিস্ট (06-05-2023) ||

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

32 . If m and n are whole numbers such that $m^{n}$ =121, what is the value of ${(m - 1)}^{n - 1}$ ? ..

A. 1000
B. 676
C. 121
D. 10
E. none of these

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Answer: Option A

Explanation:

et's first find the values of m and n from the given information:

m^n = 121

121 is equal to 11^2, so we can rewrite it as:

m^n = 11^2

Now, since m and n are whole numbers, m should be 11, and n should be 2:

m = 11 n = 2

Now, we can calculate (m - n)^(n-1):

(m - n)^(n-1) = (11 - 2)^(2-1) = 9^1 = 9

So, the value of (m - n)^(n-1) is 9, not 1000. Therefore, the correct answer is not 1000; it's 9.

বাংলাদেশ গ্যাস ফিল্ড | সহকারী-ব্যবস্থাপক | 03-12-2021 || 2021

33 . The square root of $(272^{2} - 128^{2})$ is: ..

A. 144
B. 200
C. 240
D. 256

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Answer: Option C

Explanation:

পূবালী ব্যাংক লিমিটেড || জুনিয়র অফিসার (30-09-2023) || 2023

34 . ${(17)}^{3.5} \times {(17)}^{?} = 17^{8}$ ..

A. 2.29
B. 2.75
C. 4.25
D. 4.5

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Answer: Option D

Explanation:

পূবালী ব্যাংক লিমিটেড || জুনিয়র অফিসার (30-09-2023) || 2023

35 . If p + q = 7 and pq = 12 , then what is the value of $\frac{1}{p^{2}} + \frac{1}{q^{2}}$ =? ..

A. $\frac{1}{6}$
B. $\frac{25}{144}$
C. $\frac{49}{144}$
D. $\frac{7}{12}$

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Answer: Option B

Explanation:

Standard Bank Plc || Trainee Assistant Officer (15-03-2025) || 2025

36 . There are 4 cows and 4 goats are in a field. If two of the animals are selected at random, what is the probability that both will be cows? ..

A. $\frac{1}{2}$
B. $\frac{3}{7}$
C. $\frac{3}{4}$
D. $\frac{3}{14}$

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Answer: Option D

Explanation:

Standard Bank Plc || Trainee Assistant Officer (15-03-2025) || 2025

37 . $49 \times 49 \times 49 \times 49 = 7 ?$ ..

A. 4
B. 7
C. 8
D. 16

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Answer: Option C

Explanation:

পূবালী ব্যাংক লিমিটেড || সিনিয়র অফিসার (30-09-2023) || 2023

38 . If the length an edge in a cube is $3 \sqrt{3}$ , what is the length of the longest diagonal? ..

A. $3 \sqrt{6}$
B. $2 \sqrt{3}$
C. $2$
D. $9$

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Answer: Option D

Explanation:

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

39 . Which mathematical expression $\frac{\log \sqrt{27} + \log 8 - \log \sqrt{1000}}{\log 1.2}$ ..

A. $1$
B. $2$
C. $\frac{2}{3}$
D. $\frac{3}{2}$

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Answer: Option D

Explanation: