2131 . If the average of 5 consecutive integers is 15 then what is the difference between the least and the greatest of the 5 ingers?

A. 4
B. 5
C. 8
D. 10
E. None of these

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Answer: Option A

Explanation:

Let's denote the five consecutive integers as x, x + 1, x + 2, x + 3, and x + 4, where x is the smallest integer among them.

According to the given information, the average of these integers is 15. So, we can write the equation:

(x + x + 1 + x + 2 + x + 3 + x + 4) / 5 = 15

Now, let's simplify this equation:

(5x + 10) / 5 = 15

Now, multiply both sides of the equation by 5 to isolate 5x:

5x + 10 = 15 * 5

5x + 10 = 75

Subtract 10 from both sides:

5x = 75 - 10

5x = 65

Now, divide by 5:

x = 65 / 5

x = 13

So, the smallest integer is 13, and the greatest integer is x + 4 = 13 + 4 = 17.

The difference between the greatest and the least of the 5 integers is:

17 - 13 = 4

Therefore, the difference is 4.

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2132 . If the average of five consecutive even numbers is 8, which of the following is the smallest of the five numbers?

A. 4
B. 5
C. 6
D. 8

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Answer: Option A

Explanation:

If average is 8 then numbers are 4,6,8,10,12.

So, 4 is the smallest here.

(ans)

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2133 . If the average of four numbers k, 2K+3, 3K-5 and 5K+1 is 63. What is the value of K?

A. 11
B. 15.75
C. 22
D. 23
E. 25

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Answer: Option D

Explanation:

[(k) + (2k + 3) + (3k - 5) + (5k + 1)]/4 = 63

= > 11k - 1 = 252
= > k = 253/11 = 23

ans: 23

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Sonali- Janata &amp- Agrani Bank Offier (Cash Recruitment) 22.02.2008

A. 11
B. 23
C. 22
D. 32
E. 25

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Answer: Option B

Explanation:

(M + 2M + 3 + 3M - 5 + 5M + 1) / 4 = 63

or, (11M - 1) = 63 * 4

or, 11M = 252 + 1

or, 11M = 253

or, M = 253 / 11

or, M = 23

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Sonali-Janata-Agrani &amp-Rupali Bank Ltd. &amp-RAKUB Officer Recruitment 28.03.2008

A. M-L
B. L-M
C. 2M-L
D. L-2M

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Answer: Option C

Explanation:

The total of the two numbers = 2 x M

Therefore, the smaller number = 2M - L

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2136 . If the average of two numbers is M, and the larger number is L, what is the other number ?

A. M-L
B. L-M
C. 2M-L
D. L-2M
E. None of these

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Answer: Option C

Explanation:

average of two numbers is M

one number is L

let second number be X

average = L + X/2

= > M = L + X/2

= > 2M = L + X

= > 2M - L = X

therefore,second number is 2M - L

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2137 . If the average of two numbers is M and the larger number is L, what is the other number?

A. M - L
B. L - M
C. 2M - L
D. L - 2M

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Answer: Option C

Explanation:

average of two numbers is M

one number is L

let second number be X

average = L + X/2

= > M = L + X/2

= > 2M = L + X

= > 2M - L = X

therefore,second number is 2M - L

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2138 . If the average of z and x is 35, and the average of x and y is 25, then z-y=?

A. 5
B. 10
C. 20
D. 30
E. 30

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Answer: Option C

Explanation:

Hints: শর্তমতে,

(z + x)/2 = 35

z + x = 70

(x + y)/2 = 25

x + y = 50

z + x - x - y = 70 - 50

z - y = 20

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2139 . If the circumference of a circle is increased by 50%, its area will be increased by:

A. 50%
B. 100%
C. 125%
D. 225%

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Answer: Option C

Explanation:

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2140 . If the co-operative (from the previous question) has the greatest number of members possible (with a minimum of Tk.240 contribution per member) and all members except one paid exactly Tk.240, then how much did the member who paid higher then the rest pay?

A. Tk.200
B. Tk.680
C. Tk.440
D. Tk.280

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Answer: Option D

Explanation:

Greatest number of members possible = 5000 / 240 ≈ 20.

Let the payment made by the single member be X. The rest 19 members paid TK. 240 each.

So, 240×19 + X = 5000

or, X = 5000 - 4560 = 440 TK

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2131 . If the average of 5 consecutive integers is 15 then what is the difference between the least and the greatest of the 5 ingers?

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2132 . If the average of five consecutive even numbers is 8, which of the following is the smallest of the five numbers?

2133 . If the average of four numbers k, 2K+3, 3K-5 and 5K+1 is 63. What is the value of K?

2134 . If the average of the four numbers M, 2M+3, 3m-5 and 5M+1 is 63 what is the value of the m?

2135 . If the average of two numbers is M, and the larger is L, the other number is ---

2136 . If the average of two numbers is M, and the larger number is L, what is the other number ?

2137 . If the average of two numbers is M and the larger number is L, what is the other number?

2138 . If the average of z and x is 35, and the average of x and y is 25, then z-y=?

2139 . If the circumference of a circle is increased by 50%, its area will be increased by:

2140 . If the co-operative (from the previous question) has the greatest number of members possible (with a minimum of Tk.240 contribution per member) and all members except one paid exactly Tk.240, then how much did the member who paid higher then the rest pay?

2141 . If the compound interest on a sum for 2 years at 12.5% per annum is TK. 510 the simple interest on the same at the same rate for the same period of time is :

2142 . If the coordinates of A and B are (4, 1) and (-2, 7) respectively, then the coordinates of the midpoint of AB are--

2143 . If the coordinates of A and B are (4, 1) and (-2, 7) respectively, then the coordinates of the midpoint of AB are :

2144 . If the day before yesterday is two days after Monday then what day is it today?

2145 . If the following number pattern continues, what numbers will come next? 50, 30, 40, 20, 30 -----

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