Inductive Reasoning
Trending Questions
Q. Find the nth term of the sequence 2, 10, 30, 68, 130 ...
- 5n + 20
- 3n2 + 1
- n3 + n
- n4+1
Q. Find the nth term of the sequence 2, 6, 12, 20 ...
- n2 - n
- n×(n+1)
- (n+1)×(n-1)
- n×(n-2)
Q. Hypotheses cannot be ‘proven’ to be true because the next study might produce different results that disprove the hypothesis. This is known as…
- The problem of proof
- The problem of induction
- The problem of replication
- The problem of deduction
Q. Find the nth term of sequence 3, 8, 15, ...
- n2 - 1
- n2 + 2
- n2 + 2n
- n2 - 2n
Q. Sum of interior angles of triangle is 180o, and that for a quadrilateral is 360o, then sum of interior angles of a polygon having n sides is
- 180o×(n - 2 )
- 180o×(n +1 )
- 180o×(n - 1 )
- 180o×n
Q. Find the 7th term of pascals triangle
- 1610201061
- 1615101561
- 1615201561
- 1655205561
Q. Find the nth term of sequence -3, 0, 5, ...
- 1 - 4n
- n - 2
- n2 - 4
- n2 + 1
Q. According to the inductive reasoning for the statement - Every house that burned down on the block was caused by faulty wiring. Your conclusion is that all homes on the block have faulty wiring.
Is your conclusion logically correct?
Is your conclusion logically correct?
- Correct
- Incorrect
- Can't be said
- None of these
Q. Find the nth term of sequence 2, 5, 10, 17, ...
- 2n2 - 4
- 2n - 1
- n2 + 1
- 4n-2
Q. What is quandam theory
Q.
What is the difference between a hypothesis and a theory?
Q. Find the nth term of sequence 1, 16, 81, ...
- n3 + 2n - 2
- n3
- 4n2 - 1
- n4
Q. Find the nth term of sequence 0, 3, 8, ...
- n2 - 1
- n3 - 1
- 2n2 - 2
- 2n-1
Q. With the help of inductive reasoning, the next term of the series 1, 4, 9, 16 will be .
- 25
- 32
- 64
Q. 1+3 = 4
1+3+5 = 9
then find sum 1+3+5+.... (upto 8 terms )
1+3+5 = 9
then find sum 1+3+5+.... (upto 8 terms )
- 36
- 61
- 49
- 64
Q.
In a regular hexagon each internal angle measures 108∘. (True or False)
True
False
Q. Next term of the sequence will be 99, 63, 48, 35, ?
- 24
- 14
- 16
- 26
Q. Hypotheses cannot be ‘proven’ to be true because the next study might produce different results that disprove the hypothesis. This is known as [1 mark]
Q. Closely analysing the story, 'One Thousand Dollars', show how O. Henry glorifies selfless and unconditional love.
Q. Find the 6th term of pascals triangle.
- 15101051
- 141041
- 161051
- 1509051
Q. Why induced fit hypothesis are more n less accepted ?
Q. A hypothesis would have to be refined or rejected, if even a single contradictory observation occurs.
- False
- True
Q. According to the inductive reasoning for the statement - Every house that burned down on the block was caused by faulty wiring. Your conclusion is that all homes on the block have faulty wiring.
Is your conclusion logically correct?
Is your conclusion logically correct?
- Correct
- Can't be said
- Incorrect
- None of these
Q. A hypothesis is a statement or idea which gives an explanation to a series of observations.
- False
- True
Q. What is a possible explanation for a set of observations?
Q.
\begin{tabular}{|l|c|c|c|c|} \hline Figure & 3 & 4 & 3 \\ \hline Side & \( 180^{\circ} \) & \( 2 \times 180^{\circ} \) \( =(4-2) \times 180^{\circ} \) & \( 3 \times 180^{\circ} \) \( =(5-2) \times 180^{\circ} \) & \( 4 \times 180^{\circ} \) \( =(6-2) \times 180^{\circ} \) \\ \hline Angle Sum & & \end{tabular}
Examine the table. (Each figure is divided into triangles and the sum of the angles deduced from that.) What can you say about the angle sum of a convex polygon with number of sides $ 7 , 8 , 10 and n$?
\begin{tabular}{|l|c|c|c|c|} \hline Figure & 3 & 4 & 3 \\ \hline Side & \( 180^{\circ} \) & \( 2 \times 180^{\circ} \) \( =(4-2) \times 180^{\circ} \) & \( 3 \times 180^{\circ} \) \( =(5-2) \times 180^{\circ} \) & \( 4 \times 180^{\circ} \) \( =(6-2) \times 180^{\circ} \) \\ \hline Angle Sum & & \end{tabular}
Q. Identify the next term in the given sequence 2, 12, 36, 80, 150, ?
- 252
- 194
- 258
- 210