1636 . How many positive integers less than 500 can we formed using the numbers 1,2,3 and 5 for the digit?

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.

1637 . 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:

1638 . 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.

1639 . How many prime numbers are there between 56 and 100?

A. 10
B. 11
C. 9
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 ।

1640 . How many rectanggular are there in the following figure:

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

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Answer: Option C

Explanation:

1641 . 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

1642 . 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]

1643 . 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.

Bangladesh Bank - Assistant Director - 2016

A. 12
B. 15
C. 22
D. 24

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Answer: Option D

Explanation:

All the spokes will form a total angle of 360°. Two consecutive spokes form an angle of 15° but every spoke takes part in forming two such angles. So, the number of spokes will be equal to the number of 15° angles formed.

So, the number of spokes will be = 360/15 = 24

1645 . How many square centimeters of construction paper Jesmin needs in order to exactly cover, with no overlap, 5 sides of a cube with edges that are 12 centimeters long?

A. 60
B. 144
C. 300
D. 720

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Answer: Option D

Explanation:

Length of side =a=12cm

Area of one face of cube =a²=122 =144cm²

⇒ Area of 5 faces of cube = 5a² = 5×144 = 720cm²

1646 . How many squares of 2 inch dimension will be required to cover a rectangle of 8 inch breadth and 6 inch length ?

A. 7
B. 24
C. 12
D. none of these

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Answer: Option C

Explanation:

Number of squares needed

=area of rectangle/area of square

=(8×6)/(2×2)

=48/4

=12

(ans)

1647 . How many students can sit in a room with n single chairs and b doubleseated benches?

A. nb
B. 2nd
C. 2(b+n)
D. 2b + n
E. None of these

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Answer: Option D

Explanation:

In 1 single chair seated 1 student

So, in n single chair seated = 1 × n= n students

Again,

In 1 bench, seated 2 students

So, in b bench seated = 2 × b = 2b students

So Total number of Student can be seated in this classroom is = 2b + n

Ans: 2b+n

1648 . How many terms are there in 20, 25, 30......140?

A. 22
B. 25
C. 23
D. 24

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Answer: Option B

Explanation:

To find the number of terms in the sequence 20, 25, 30, ..., 140, we can use the formula for the nth term of an arithmetic progression:

nth term (Tn) = a + (n - 1) * d

Where:

a is the first term of the sequence (a = 20 in this case).
d is the common difference between consecutive terms (d = 25 - 20 = 5 in this case).
n is the number of terms we want to find.
We need to find the value of n when Tn is equal to 140, as that's the last term in the sequence.

140 = 20 + (n - 1) * 5

Now, solve for n:

140 - 20 = (n - 1) * 5 120 = (n - 1) * 5

Divide both sides by 5:

120/5 = (n - 1) 24 = n - 1

Now, add 1 to both sides:

n = 24 + 1 n = 25

So, there are 25 terms in the sequence 20, 25, 30, ..., 140. The correct answer is 25.

সমন্বিত পাঁচ ব্যাংক || অফিসার ক্যাশ - 06.11.2021

A. 10
B. 15
C. 22
D. 27

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Answer: Option B

Explanation:

আমরা জানি, n তম পদের সমষ্টি Sn= n/2{2a+(n-1)d}

এখানে, a=21, d= 18-21= -3, Sn= 0, n=?

প্রশ্নমতে, 0= n/2{(2×21)+(n-1)-3}

বা, n/2(42-3n+3)=0

বা, 45-3n= 0×2/n

বা, 45-3n= 0

বা, 3n=45

বা, n=15

Sonali Bank Ltd. Senior Officer Recruitment 01.06.2018

A. 36
B. 37
C. 72
D. 74

View Answer	Favorite Question

Answer: Option C

Explanation:

We have to form a border around the room of 24 * 14.

Also, since room is 24 feet wide in length, we can place 24 tiles on both the sides.

that makes it 48.

we are left with width which is 14 feet.

But out of that we have already placed tiles in 2 feet on both the side while filling up the place for length.

So what we are left with is = 14 + 14 - 2 - 2 = 24

and 24 + 48 = 72

1636 . How many positive integers less than 500 can we formed using the numbers 1,2,3 and 5 for the digit?

1637 . How many positive integers less than ten thousand are multiples of both right and eighteen?

1638 . How many prime numbers are less than 50 ?

1639 . How many prime numbers are there between 56 and 100?

1640 . How many rectanggular are there in the following figure:

1641 . 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?

1642 . How many signals can be given by 5 flags of different colours using 3 flags at a time.

1643 . 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

1644 . How many spokes are there in a wheel of a car, if any two spokes from an angle of 15°?

1645 . How many square centimeters of construction paper Jesmin needs in order to exactly cover, with no overlap, 5 sides of a cube with edges that are 12 centimeters long?

1646 . How many squares of 2 inch dimension will be required to cover a rectangle of 8 inch breadth and 6 inch length ?

1647 . How many students can sit in a room with n single chairs and b doubleseated benches?

1648 . How many terms are there in 20, 25, 30......140?

1649 . how many terms of arithmetic progression (A.P) 21,18,15,12...must be taken to give the sum zero

1650 . How many tiles each 1 foot square are necessary to form a 1 foot border around the inside of a room 24 feet by 14 feet?

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