Explanation

Letters:

B, D, F, H ...  

B + 2 = D  

D + 2 = F  

F + 2 = H  

H + 2 = J

Numbers:

2, 4, 8, 16 ...  

Each number is multiplied by 2  

2 x 2 = 4  

4 x 2 = 8  

8 x 2 = 16  

16 x 2 = 32

So the next term = J32

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Explanation

Check the pattern:

121 = 11 x 11

144 = 12 x 12

169 = 13 x 13

196 = 14 x 14

So each number is a square of consecutive numbers: 11, 12, 13, 14

Next number will be square of 15

15 x 15 = 225

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Explanation

Check the letters:

AB -> skip C -> DE  

DE -> skip F -> GH  

GH -> skip I -> JK  

So each pair goes forward 2 letters, and we skip 1 letter between pairs.

After JK:  

Skip L  

Next pair = MN

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Explanation

Total number of balls = Red balls + Blue balls  

Total = 5 + 3 = 8  

Number of red balls = 5  

Probability of picking one red ball = Number of red balls / Total number of balls  

Probability = 5 / 8  

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Explanation

Total work = Number of labourers x Total days  

Total work = 20 x 8 = 160 units  

Work done in first 4 days = 20 labourers x 4 days  

Work done = 80 units  

Fraction of work completed = Work done / Total work  

= 80 / 160  

= 1 / 2  

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Explanation

Given ratio = Nitrogen : Sulphur : Phosphorus = 5 : 3 : 2  

Total parts = 5 + 3 + 2 = 10  

Total weight = 200 kg  

Value of 1 part = Total weight / Total parts  

= 200 / 10 = 20 kg  

Initial weight of Nitrogen = 5 x 20 = 100 kg  

Initial weight of Sulphur = 3 x 20 = 60 kg  

Initial weight of Phosphorus = 2 x 20 = 40 kg  

100 kg of Nitrogen is added.  

New weight of Nitrogen = 100 + 100 = 200 kg  

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Explanation

Total number of balls = Blue + Yellow + Red  

Total = 9 + 7 + 4 = 20  

Number of red balls = 4  

Probability of picking a red ball = Number of red balls / Total number of balls  

= 4 / 20  

= 1 / 5  

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Explanation

• (x + y) = 5 + 3 is not a valid assignment in Python.
• The program raises a SyntaxError before execution.

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Explanation

The pattern of the sequence appears to be formed by adding consecutive increments:

1 + 4 = 5

5 + 9 = 14

14 + 16 = 30

30 + 25 = 55

55 + 36 = 91

The next term in the sequence would be 91.

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Explanation

• Since the experiment was conducted on only one soil type, the results cannot be generalized to all soils.
• The study shows phosphorus fertilizer was beneficial under the tested conditions.
• Different soil types may respond differently to the same fertilizer.
• A scientific conclusion should be limited to the evidence collected.
• More experiments on different soil types are needed before making a universal claim.

Last verified on 01-08-2026