1696 . How many odd, positive divisors dose 540 have ?

A. 6
B. 8
C. 12
D. 15
E. 24

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Answer: Option B

Explanation:

1×540 = 540

2×270 = 540

3×180 = 540

4×135 = 540

5×108 = 540

6×90 = 540

9×60 = 540

10×54 = 540

12×45 = 540

15×36 = 540

18×30 = 540

20×27 = 540

So the odd divisors are 1, 3, 5, 9, 15, 27, 45, 135.

So the number of odd divisors is 8.

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Probationary Officer | 31.03.2017 ||

A. two
B. three
C. four
D. six

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Answer: Option D

Explanation:

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1698 . How many pieces of 85 cm length can be cut from a rod 42.5 meters long?

A. 30
B. 40
C. 60
D. None of these

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Answer: Option D

Explanation:

42.5 meters = 4250cm

টুকরার সংখ্যা = 4250/85 টি = 50 টি

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1699 . How many pieces of 85 cm length stick can be cut from a 42.5 meters long stick?

A. 30
B. 40
C. 50
D. 60

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Answer: Option C

Explanation:

Given:

Length of the rod = 42.5 metres = 4250 cm

Pieces to be cut = 85 cm

Calculation:

Number of rods = 4250/85 = 50.

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সমন্বিত ব্যাংক অফিসার (ক্যাশ) || (02-06-2023)

A. 6
B. 7
C. 5
D. 10

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Answer: Option B

Explanation:

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Probationary Officer | 31.03.2017 ||

A. 30
B. 31
C. 32
D. 33

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Answer: Option D

Explanation:

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প্রবাসী কল্যাণ ব্যাংক-সিনিয়র অফিসার-09-10-2021

A. 48
B. 56
C. 62
D. 68

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Answer: Option D

Explanation:

To find the number of positive integers less than 500 that can be formed using the digits 1, 2, 3, and 5, we can consider the following cases:

Case 1: 1-digit numbers (1, 2, 3, and 5) There are 4 one-digit numbers.

Case 2: 2-digit numbers We can form 2-digit numbers using the digits 1, 2, 3, and 5. These numbers can be any permutation of the digits.

Number of 2-digit numbers = 4 choices for the tens digit (1, 2, 3, or 5) × 4 choices for the units digit (excluding 0) = 4 × 4 = 16 numbers

Case 3: 3-digit numbers We can form 3-digit numbers using the digits 1, 2, 3, and 5. These numbers can be any permutation of the digits.

Number of 3-digit numbers = 4 choices for the hundreds digit (1, 2, 3, or 5) × 4 choices for the tens digit (1, 2, 3, or 5) × 3 choices for the units digit (excluding the tens digit) = 4 × 4 × 3 = 48 numbers

Now, let's sum up the numbers from all the cases:

Total number of positive integers less than 500 = Case 1 + Case 2 + Case 3 = 4 + 16 + 48 = 68

So, there are 68 positive integers less than 500 that can be formed using the digits 1, 2, 3, and 5.

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1703 . How many positive integers less than ten thousand are multiples of both right and eighteen?

A. 70
B. 72
C. 138
D. 139

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Answer: Option C

Explanation:

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1704 . How many prime numbers are less than 50 ?

A. 14
B. 15
C. 16
D. 18

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Answer: Option B

Explanation:

Hints : prime numbers less than 50:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47

so total count is 15.

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1705 . How many prime numbers are there between 50 and 60?

A. 10
B. 11
C. 2
D. 8

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Answer: Option C

Explanation:

56 থেকে 100 পর্যন্ত মৌলিক সংখ্যা 9 টি । সংখ্যাগুলো হলো : 59, 61, 67, 71, 73, 79, 83, 89, 97 ।

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সমন্বিত ৮টি ব্যাংক ও ১টি আর্থিক প্রতিষ্ঠান - সিনিয়র অফিসার (16-05-2025)

1706 . How many real roots does the polynomial $2 x^{3} + 8 x - 7$ have ?

A. None
B. One
C. Two
D. Three

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Answer: Option B

Explanation:

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অফিসার (জেনারেল) - 12.11.2021

A. 6
B. 8
C. 9
D. 10

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Answer: Option C

Explanation:

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1708 . How many seconds will a 500 metre long train take to cross a man walking with a speed of 3km/hr in the direction of the moving train if the speed of the train is 63km/hr?

A. 25
B. 30
C. 40
D. 45

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Answer: Option B

Explanation:

ব্যাখাঃ ট্রেনটি ১ ঘন্টায় অতিক্রম করে ( ৬৩ - ৩) কি.মি

= ৬০ কি.মি = ৬০×১০০০ মিটার

আবার, ১ ঘন্টা = ৩৬০০ সেকেন্ড

৬০×১০০০ মিটার অতিক্রম করে ৩৬০০ সেকেন্ড

৫০০ মিটার অতিক্রম করে ( ৩৬০০×৫০০)/ (৬০×১০০০) = ৩০ সেকেন্ড

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1709 . How many signals can be given by 5 flags of different colours using 3 flags at a time.

A. 5
B. 15
C. 60
D. 120

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Answer: Option C

Explanation:

Possible ways = 5P3 = 5 × 4 × 3 = 60 [Ways of choosing 3 flags from 5 flags is 5C3. But different signals can be given bay rearranging those 3 flags in 3! ways. So, total possible ways of giving signal = 5C3× 3! = 5P3]

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1710 . How many sons does X have ? I. Q and U are brothers of T. II. R is sister of P and U. III. Rand Tare daughters of X

A. Only I and II
B. Only II and III
C. All I , II and III
D. I, II and III together are not sufficient

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Answer: Option D

Explanation:

Here, Q, U are sons, T, R are daughters. But we can not determine P’s gender. So not sufficient formation.

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Bangladesh Bank - Assistant Director - 2016

1696 . How many odd, positive divisors dose 540 have ?

1697 . How many of the positive integers less than 25 are 2 less than an integer multiple of 4?

1698 . How many pieces of 85 cm length can be cut from a rod 42.5 meters long?

1699 . How many pieces of 85 cm length stick can be cut from a 42.5 meters long stick?

1700 . How many positive integer less than 100 have the reminder of 2 when divided by --

1701 . How many positive integers less than 100 are neithe multiples of 2 or 3.

1702 . How many positive integers less than 500 can we formed using the numbers 1,2,3 and 5 for the digit?

1703 . How many positive integers less than ten thousand are multiples of both right and eighteen?

1704 . How many prime numbers are less than 50 ?

1705 . How many prime numbers are there between 50 and 60?

1707 . How many rectanggular are there in the following figure:

1708 . How many seconds will a 500 metre long train take to cross a man walking with a speed of 3km/hr in the direction of the moving train if the speed of the train is 63km/hr?

1709 . How many signals can be given by 5 flags of different colours using 3 flags at a time.

1710 . How many sons does X have ? I. Q and U are brothers of T. II. R is sister of P and U. III. Rand Tare daughters of X

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