3016 . The average of 7 consecutive numbers is 20. The largest of these number is ---

A. 23
B. 22
C. 20
D. 24

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Answer: Option A

Explanation:

ধরি, সংখ্যাগুলো, x - 3, x - 2, x - 1, x + 1, x + 2, x + 3

x - 3 + x - 2 + x - 1 + x + x + 1 + x + 2 + x + 3/7 = 20

7x/7 = 20

x = 20

বৃহত্তম সংখ্যাটি = x + 3 = 20 + 3 = 23

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3017 . The average of 7 numbers is 12. After discarding one number, the average becomes 11. What is the discarded number?

A. 7
B. 10
C. 18
D. 12
E. 15

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Answer: Option C

Explanation:

The average of 7 numbers is 12.

total of 7 numbers is = (7x12) = 84

After discarding one number, the average of 6 numbers becomes 11

so, total of 6 numbers = (6x11) = 66

∴ the discarded number is = 84 - 66 = 18

ans: 18

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

A. 6.1
B. 30.1
C. 30.3
D. 34.3

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Answer: Option D

Explanation:

The average of 7 numbers of 40. If 3 more numbers, with an average of 21, are added to these numbers, what will be the average of the combined 10 number?

Total of 7 numbers = 7 x 40 = 280

Total of 3 numbers = 3 x 21 = 63

Total of (7 + 3 = 10) numbers = 280 + 63 = 343

So, average = 343 / 10 = 34.3

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3019 . The average of a and b is 40 and the sum of b and c is 70. what is the value of a -c?

A. 5
B. 10
C. 15
D. 20
E. None of them

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Answer: Option B

Explanation:

a+b = 40*2 = 80

b+c = 70

(doing subtraction), a-c = 10 (Ans

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3020 . The average of a non-zero number and its square is 5times the number. The number is-

A. 9
B. 17
C. 29
D. 295

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Answer: Option A

Explanation:

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পল্লী কর্ম সহায়ক ফাউন্ডেশনের অ্যাসিসট্যান্ট ম্যানেজার-০৭.০৩.২০১৪

A. 12.25
B. 21.25
C. 25.5
D. 25

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Answer: Option C

Explanation:

Total = n(n+1)/2 =( 50×51)/2 = 1275

So, average = 1275/50=25.5

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3022 . The average of five consecutive integers is X. If the next two numbers are added, how shall the average vary?

A. It shall increase by 1
B. It shall increase by 1.4
C. It shall increase by 2
D. It shall remain the same

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Answer: Option A

Explanation:

Given -

The average of five consecutive number is x

Formula Used -

Average = (sum of all observation)/(number of observation)

Concept Used -

If odd number of terms given then average is the middle number.

Solution -

Let the five consecutive number be a,(a+1),(a+2),(a+3),(a+4)

= Average = (5a+10)/5 = (a+2)

x = (a+2)

= If next two number (a+5) and (a+6) is added,

= Average = (7a+21)/7 = (a+3)

= If next two numbers be added then average increased by 1

∴ The average is increased by 1 if next two number is included.

Short - trick -

Let the number 1,2,3,4,5

= Average = 3

= If next two number be taken,

= Average increased by 1.

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সমন্বিত ৭ ব্যাংক || অফিসার (ক্যাশ) (24-05-2024)

A. an odd number
B. divisible by 4
C. an even number
D. both (B) and (C)
E. None of them

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Answer: Option C

Explanation:

1 + 3 + 5 + 7 = 16

average = 16/4 = 4

even number

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3024 . The average of four consecutive odd positive integers is always--

A. an even number
B. an odd number
C. divisible by 4
D. Both a and c

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Answer: Option A

Explanation:

1 + 3 + 5 + 7 = 16

average = 16/4 = 4

even number

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3025 . The average of nine numbers is 50. The average of the first five numbers is 54 and that of the last three numbers is 52. Then the sixth number is:

A. 30
B. 34
C. 44
D. 24

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Answer: Option D

Explanation:

৯টি সংখ্যার সমষ্টি= ৯×৫০=৪৫০

প্রথম ৫টি সংখ্যার সমষ্টি=৫×৫৪=২৭০

শেষের ৩টি সংখ্যার সমষ্টি=৩×৫২=১৫৬

অতএব, প্রথম ৫টি ও শেষের ৩টি সংখ্যার সমষ্টি= ২৭০+১৫৬=৪২৬

অতএব, ষষ্ঠ সংখ্যাটি =৪৫০-৪২৬=২৪

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3026 . The average of runs of a cricket player of 10 innings was 32. How many runs must he make in his next inning so as to increase his average of runs by 4?

A. 2
B. 4
C. 70
D. 76

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Answer: Option D

Explanation:

Average= Total runs/ No. of innings =32
So,
Total runs
=32×10
=320
Now increase in average is 4 runs
so,
New average =32+4=36 runs
Total runs =36×11=396
Runs made in the 11th inning =396−320=76

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

A. 72
B. 90
C. 93
D. 98

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Answer: Option C

Explanation:

Hints:average mark = মোট 7 টি subject এর mark /7

science এর মার্ক = ( 7 × 75 - 6 × 72) = 93

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3028 . The average of six numbers is 14. The average of four of these numbers is 15. The average of the remaining two number is -

A. 4
B. 8
C. 12
D. 16

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Answer: Option C

Explanation:

T h e s u m o f s i x n u m b e r s = (14 \times 6) = 84 The sum of 4 numbers = (15 \times 4) = 60 ∴ Average remaining two numbers = \frac{84 - 60}{2} = \frac{24}{2} = 12

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অফিসার (সাধারণ) ২৭.১২. ২০১৯

A. 4.5
B. 4.6
C. 4.7
D. 4.8

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Answer: Option B

Explanation:

Sum of the reaming two numbers are

= ( 3.95 ×6) - [ (3.4×2) + ( 3.85×2) ]

= 23.70 - ( 6.8 + 7.7)

= 23.70 - 14.5

= 9.20

Average = 9.20/2 = 4.6

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3030 . The average of six numbers is x and the average of three is y. If the average of the remaining three is z, then :

A. x=y+z
B. x=2y+2z
C. 2x=y+z
D. none of these

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Answer: Option C

Explanation:

Hints: Average of 6 numbers = x

sum of 6 numbers = 6x

Average of the 3 numbers = y

sum of the 3 numbers = 3y

Average of the remaining 3 numbers = z

sum of the remaining 3 numbers = 3z

Now, we know that 6x = 3y + 3z

2x = y + z

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3016 . The average of 7 consecutive numbers is 20. The largest of these number is ---

3017 . The average of 7 numbers is 12. After discarding one number, the average becomes 11. What is the discarded number?

3018 . The average of 7 numbers of 40. If 3 more numbers with an average of 21 are added to these numbers,what will be the average of the combined 10 numbers?

3019 . The average of a and b is 40 and the sum of b and c is 70. what is the value of a -c?

3020 . The average of a non-zero number and its square is 5times the number. The number is-

3021 . The average of first 50 natural numbers is :

3022 . The average of five consecutive integers is X. If the next two numbers are added, how shall the average vary?

3023 . The average of four consecutive odd positive integers is always.

3024 . The average of four consecutive odd positive integers is always--

3025 . The average of nine numbers is 50. The average of the first five numbers is 54 and that of the last three numbers is 52. Then the sixth number is:

3026 . The average of runs of a cricket player of 10 innings was 32. How many runs must he make in his next inning so as to increase his average of runs by 4?

3027 . The average of Selim’s marks in 7 subjects is 75. His average in six subjects excluding Science is 72. How many marks did he get in Science?

3028 . The average of six numbers is 14. The average of four of these numbers is 15. The average of the remaining two number is -

3029 . The average of six numbers is 3.95. The average of two of them is 3.4, while average of the other two is 3.85. What is the average of the remaining two numbers?

3030 . The average of six numbers is x and the average of three is y. If the average of the remaining three is z, then :

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