Hanhpt23/IQBench huggingface dataset:
Topic: Inductive Verbal Reasoning Test
Question: Answer the multiple-choice question in the image with reasoning, and give only the letter of the correct option as the final answer.
Answer: D
Explanation: The statement says that human body can produce Vitamin D on its own with the help of sun exposure. Therefore, it can be safely assumed that human body does not have to depend on food for its required intake of Vitamin D. Thus, assumption I is implicit. However, the statement does not discuss the deficiency of Vitamin D of anyone. Therefore, assumption II is not implicit. Hence, only assumption I is implicit.
Topic: Inductive Verbal Reasoning Test
Question: Answer the multiple-choice question in the image with reasoning, and give only the letter of the correct option as the final answer.
Answer: B
Explanation: Concept: We have to examine the given statement and then analyse the conclusions to judge if the given conclusions are following the statements or not. Statement: For admission to MA (Social Work) course, the condition of prior experience in social work may be relaxed by the Admission Committee to the best candidates. Explanation: The statement says that if the candidate is best then required or prior experience can be reduced for his admission in MA(social Work). Conclusion: I. Some students of MA (Social Work) will have prior experience of social work. Those students who are not best will have to take prior experience. So, Conclusion I is follows. II. Some MA (Social Work) students will not have prior experience in social work. The top students will not be having prior experience. So, Conclusion I is follows. As it can be seen both statements are true. Therefore, the correct answer should be "Conclusion I and Conclusion II both follow."
Topic: Inductive Verbal Reasoning Test
Question: Answer the multiple-choice question in the image with reasoning, and give only the letter of the correct option as the final answer.
Answer: C
Explanation: Here, the objective is to make homes energy efficient for sustainable development. Replacing incandescent light bulbs with energy-efficient compact fluorescent lamps (CFLs) is suggested considering the statement says that making homes energy-efficient is important for sustainable development. Therefore, assumption I is implicit in the statement. One cannot relate the auspiciousness of good landscaping around one's house on the west side with efficient energy consumption at home using the information from the statement. Therefore, assumption II is not implicit Hence, only assumption I is implicit.
Topic: Inductive Verbal Reasoning Test
Question: Answer the multiple-choice question in the image with reasoning, and give only the letter of the correct option as the final answer.
Answer: C
Explanation: In this case, Assumption I is not implicit in the statement, as there is no direct connection made between the physical state of the building and the quality of education provided within it. Assumption II refers to an office building rather than a school building. Therefore, it cannot be inferred that the statement is implicitly making assumptions about an office building. Therefore, neither assumption I nor II is implicit in the given statement. Hence, the correct answer is option C.
Topic: Inductive Verbal Reasoning Test
Question: Answer the multiple-choice question in the image with reasoning, and give only the letter of the correct option as the final answer.
Answer: E
Explanation: The performance of the individual has to be tested over a span of time as the statement mentions. So, I is implicit. The statement mentions that the individual's worth shall be reviewed (during probation period) before confirmation. So, II is also implicit.
Topic: Inductive Verbal Reasoning Test
Question: Answer the multiple-choice question in the image with reasoning, and give only the letter of the correct option as the final answer.
Answer: A
Explanation: Since the statement talks of putting the child in school at the age of 5, it means that the child is mentally prepared for the same at this age. So, I is implicit. But nothing about admission after 6 years of age is mentioned in the statement. So, II is not implicit.
Topic: Inductive Verbal Reasoning Test
Question: Answer the multiple-choice question in the image with reasoning, and give only the letter of the correct option as the final answer.
Answer: B
Explanation: Assumption I goes against the statement. So, it is not implicit. The allowance will serve as a reward to the employees and shall provoke them to come on time. So, II is implicit.
Topic: Inductive Verbal Reasoning Test
Question: Answer the multiple-choice question in the image with reasoning, and give only the letter of the correct option as the final answer.
Answer: A
Explanation: I directly follows from the statement and so is implicit. Also, the statement is a suggestion and does not tell about a government policy or its position of funds. So, II is not implicit.
Topic: Inductive Verbal Reasoning Test
Question: Answer the multiple-choice question in the image with reasoning, and give only the letter of the correct option as the final answer.
Answer: A
Explanation: The mother warns her child with the expectation that he would stop troubling her. So, I is implicit. The general nature of children cannot be derived from the statement. So, II is not implicit.
Topic: Inductive Verbal Reasoning Test
Question: Answer the multiple-choice question in the image with reasoning, and give only the letter of the correct option as the final answer.
Answer: A
Explanation: Such decisions as given in the statement are taken only after taking the existing vacancies into consideration. So, I implicit while II isn't.
Topic: Inductive Verbal Reasoning Test
Question: Answer the multiple-choice question in the image with reasoning, and give only the letter of the correct option as the final answer.
Answer: E
Explanation: Clearly, the penalty is imposed to prevent people from misusing the alarm chain. This means that some people misuse it. So, I is implicit. The alarm chain is provided to stop the running train in times of urgency. So, II is also implicit.
Topic: Inductive Verbal Reasoning Test
Question: Answer the multiple-choice question in the image with reasoning, and give only the letter of the correct option as the final answer.
Answer: B
Explanation: Clearly, nothing is mentioned about the professional nature of the job. So, I is not implicit. The statement hints that one rejects a thing that is easy to achieve. So, II is implicit.
Topic: Inductive Verbal Reasoning Test
Question: Answer the multiple-choice question in the image with reasoning, and give only the letter of the correct option as the final answer.
Answer: A
Explanation: The statement mentions that concessions should not be given to people who can afford to spend holidays in hill stations. This means they should be given only to needy persons. So, I is implicit. But, II does not follow from the statement and is not implicit.
Topic: Inductive Verbal Reasoning Test
Question: Answer the multiple-choice question in the image with reasoning, and give only the letter of the correct option as the final answer.
Answer: B
Explanation: Clearly, the statement expresses grave concern over a newly-built flyover not being utilized by public. This implies that such projects need to be taken up only after working out their utility and that the huge expenditure incurred on building such structures is worthwhile only if they prove useful for the public. Thus, only II is implicit.
Topic: Inductive Verbal Reasoning Test
Question: Answer the multiple-choice question in the image with reasoning, and give only the letter of the correct option as the final answer.
Answer: E
Explanation: Since a surcharge has been levied to fund drought relief programmes, it follows that the Government does not have sufficient money for the same. So, I is implicit. Besides, the percentage of surcharge must have been decided after studying the expected inflow in relation to amount of funds required. So, II is also implicit.
Topic: Inductive Verbal Reasoning Test
Question: Answer the multiple-choice question in the image with reasoning, and give only the letter of the correct option as the final answer.
Answer: B
Explanation: Nothing is mentioned about lather formation by the detergent. So, I is not implicit. Also, detergents should be used as they clean clothes better and more easily. So, II is implicit.
Topic: Numerical
Question: Find the missing number?
A. 4
B. 5
C. 6
D. 7
Answer: C
Explanation: Divide by 2 the sum of 2nd and 3rd number in every column of each row to get the number in the first row.
\( \frac{3 + 9}{2} = 6 \)
\( \frac{5 + 7}{2} = 6 \)
\( \frac{8 + 4}{2} = 6 \)
Topic: Numerical
Question: Find the missing number?
A. 10
B. 11
C. 12
D. 13
Answer: C
Explanation: Divide by 2 the sum of 2nd and 3rd number in every column of each row to get the number in the first row.
\( \frac{10 + 12}{2} = 11 \)
\( \frac{13 + 11}{2} = 12 \)
\( \frac{11 + 13}{2} = 12 \)
Topic: Numerical
Question: Find the missing number?
A. 6
B. 7
C. 8
D. 9
Answer: D
Explanation: Divide by 2 the sum of 2nd and 3rd number in every column of each row to get the number in the first row.

\( \frac{6 + 10}{2} = 8 \)

\( \frac{9 + 7}{2} = 8 \)

\( \frac{8 + 10}{2} = 9 \)
Topic: Numerical
Question: Find the missing number?
A. 6
B. 7
C. 8
D. 9
Answer: B
Explanation: Divide by 2 the sum of 2nd and 3rd number in every column of each row to get the number in the first row.

\( \frac{6 + 10}{2} = 8 \)

\( \frac{8 + 10}{2} = 9 \)

\( \frac{8 + 6}{2} = 7 \)
Topic: Numerical
Question: Find the missing number?
A. 9
B. 10
C. 11
D. 12
Answer: C
Explanation: Divide by 2 the sum of 1st and 3rd number in every column of each row to get the number in the middle row.

\( (1 + 9)/2 = 5 \)
\((2 + 10)/2 = 6 \)
\((3 + ?)/2 = 7 \)
\(\Rightarrow ? = 11\)
Topic: Numerical
Question: Find the missing number?
A. 4
B. 5
C. 6
D. 7
Answer: A
Explanation: The sum of 1st and 3rd number in every column of  each row to get the number middle row.

\( (1 + 8) = 9 \)
\( (2 + 6) = 8 \)
\( (3 + ?) = 7 \)
\( \Rightarrow ? = 4 \)
Topic: Numerical
Question: Find the missing number?
A. 10
B. 11
C. 12
D. 13
Answer: D
Explanation: Divide by 2 the sum of 1st and 3rd number in every column of each row to get the number in the middle row.

(8 + 10)/2 = 9

(10 + 6)/2 = 8

(1 + ?)/2 = 7

$\implies$ ? = 13
Topic: Numerical
Question: Find the missing number?
A. 3
B. 6
C. 8
D. 9
Answer: A
Explanation: Divide by 2 the sum of 1st and 3rd number in every column of each row to get the number in the middle row.

(11 + 5)/2 = 8

(7 + 3)/2 = 5

(1 + ?)/2 = 2

$\implies$ ? = 3
Topic: Numerical
Question: Find the missing number?
A. 3
B. 4
C. 5
D. 6
Answer: C
Explanation: Divide by 2 the sum of 1st and 2nd number in every column of each row to get the number in the third row.

(6 + 8)/2 = 7

(7 + 5)/2 = 6

(1 + ?)/2 = 3

$\implies$ ? = 5
Topic: Numerical
Question: Find the missing number?
A. 6
B. 7
C. 8
D. 9
Answer: B
Explanation: Divide by 2 the sum of 1st and 3rd number in every column of each row to get the number in the middle row.

(1 + 3) / 2 = 4 / 2 = 2
(4 + 6) / 2 = 10 / 2 = 5
(9 + ?) / 2 = 8
$\implies$ ? = 7
Topic: Numerical
Question: Find the missing number? 
A. 2
B. 3
C. 5
D. 9
Answer: B
Explanation: Divide by 2 the sum of 1st and 3rd number in every column of each row to get the number in the middle row.

\( (7 + 9)/2 = 16/2 = 8 \)
\((4 + 6)/2 = 10/2 = 5 \)
\((1 + ?)/2 = 2 \)
\( \Rightarrow (1 + ?) = 4 \)
\( \Rightarrow ? = 4 - 1 \)
\( \Rightarrow ? = 3 \)

Therefore option (B) is correct option
Topic: Numerical
Question: Find the missing number?
A. 7
B. 8
C. 9
D. 6
Answer: A
Explanation: Here every figure consist of three numbers in 1st line and one number in 2nd line. And 2nd number written in every figure is the (HCF) highest common factor of all the three numbers in the 1st line . 
H C F ( Highest Common Factor ) of 4 ,8 , 12 = 4 (1st figure )
H C F ( Highest Common Factor ) of 12 ,24 , 30 = 6 ( 2nd figure )
H C F ( Highest Common Factor ) of 21 ,14 , 42 = 7 (3rd figure )
Therefore option (A) is correct option
Topic: Numerical
Question: Find the missing number?
A. 15
B. 18
C. 16
D. 17
Answer: B
Explanation: One tenth of sum of all the numbers except middle number in each box is equal to middle number in that box. 
(3 * 4 * 2 * 5 )/10 = 120 / 10 = 12 ( Middle number in 1st box ) 
(6 * 2 * 3 * 5 )/10 = 180 / 10 = 18 ( Middle number in 2nd box ) 
(2 * 2 * 9 * 5 )/10 = 180 / 10 = 18 ( Middle number in 3rd box ) 
Therefore option (B) is correct option.
Topic: Numerical
Question: Find the missing number?
A. 1
B. 4
C. 2
D. 3
Answer: C
Explanation: Sum of the product of both the numbers in 1st and 2nd line is equal to middle numbers in each figure.

\( (5 \times 4) + (3 \times 1) = 20 + 3 = 23 \) (Middle number in 1st figure)

\( (7 \times 6) + (3 \times 4) = 42 + 12 = 54 \) (Middle number in 2nd figure)

\( (11 \times 2) + (? \times 9) = 22 + 9? = 40 \)

\( \Rightarrow 9? = 40 - 22 \)

\( \Rightarrow 9? = 18 \)

\( \Rightarrow ? = 2 \) (Middle number in 3rd figure)

Therefore option (C) is correct option
Topic: Numerical
Question: Find the missing number?
A. 2
B. 7
C. 14
D. 17
Answer: A
Explanation: This problem has three figures and every figure consists of one number in the middle of the figure and four numbers around it. The product of the middle number's digits is equal to the sum of the remaining numbers/digits around the figure.

7 + 4 + 7 + 12 = 30 = 5 \* 6 = Product of middle number 56 in 1st figure.

15 + 7 + 12 + 8 = 42 = 6 \* 7 = Product of middle number 67 in 2nd figure

11 + 18 + 5 + ? = 36 = 6 \* 6 = Product of middle number 66 in 3rd figure

$\implies$ 34 + ? = 36

$\implies$ ? = 36 - 34

$\implies$ ? = 2

Therefore option (A) is correct option
Topic: Numerical
Question: Find the missing number?
A. 20
B. 14
C. 13
D. 12
Answer: D
Explanation: This circle consists of four quadrants and every quadrant consists of three numbers. Every quadrant has two numbers in the outer part and one number in its inner part. To find the value of question mark "?", we shall use two numbers which are in the outer part of it to calculate the value of the number which is in the inner part of every quadrant.

4th Quadrant
($7 \times 4$)/4 = 28/4 = 7 (Middle number in inner part)

3rd Quadrant
($8 \times 5$)/4 = 40/4 = 10 (Middle number in inner part)

2nd Quadrant
($4 \times 20$)/4 = 80/4 = 20 (Middle number in inner part)

1st Quadrant
($6 \times 8$)/4 = 48/4 = 12 (Middle number in inner part)

Therefore option (D) is correct option
Topic: Numerical
Question: Find the missing number?
A. 12
B. 8
C. 9
D. 18
Answer: C
Explanation: This problem have three figures and every figure consist of three numbers in 1st line and one number in 2nd line. And 2nd number written in every figure is the (HCF) highest common factor of all the three numbers in the 1st line. 
H C F ( Highest Common Factor ) of 12 ,18 , 30 = 6 (1st figure ) 
H C F ( Highest Common Factor ) of 16 ,32 , 40 = 8 (2nd figure ) 
H C F ( Highest Common Factor ) of 36 ,18 , 27 = 9 ( 3rd figure ) 
Therefore option (C) is correct option.
Topic: Numerical
Question: Find the missing number?
A. 8
B. 21
C. 32
D. 64
Answer: A
Explanation: Starting from 2 and moving clockwise, multiplying two opposite numbers which will contribute 56 in each case.

2 \* 28 = 56

14 \* 4 = 56

Similarly the product of 7 and ? must be equal to 56.

7 \* ? = 56

$\implies$ ? = 56/7 = 8

Therefore option (A) is correct option.
Topic: Numerical
Question: Find the missing number?
A. 20
B. 75
C. 26
D. 25
Answer: C
Explanation: This problem consist of three figures and every figure have three numbers out of which two numbers are smallest than 3rd number. So starting from smallest number and proceeding anticlockwise likewise. 
Sq of 2 + Sq of 4 = 4 + 16 = 20 ( 1st figure) 
Sq of 3 + Sq of 9 = 9 + 81 = 90 (2nd figure) 
Sq of 1 + Sq of 5 = 1 + 25 = 26 (3rd figure) 
Therefore option (C) is correct option.
Topic: Numerical
Question: Find the missing number?
A. 30
B. 31
C. 45
D. 37
Answer: A
Explanation: This circle has the following numbers in it: 40, 45, 25, 40, 30, 35, 35, ?

Now, after carefully studying these numbers, we find that these numbers are written in two alternate series. So, starting from number 25 clockwise, pick alternate numbers.

Our first pattern from these numbers 40, 45, 25, 40, 30, 35, 35, ? will be 25, 30, 35, 40, and these numbers are written with an increment of 5. It means that the difference/increment between two consecutive numbers is the same.

25 + 5 = 30
30 + 5 = 35
35 + 5 = 40

After eliminating the above numbers, the remaining numbers are 45, 40, 35, ?.

Now, note the difference between every two consecutive numbers is 5.

45 - 40 = 5
40 - 35 = 5
So 35 - ? = 5
$\implies$ -? = 5 - 35
$\implies$ -? = -30
$\implies$ ? = 30

Therefore, option (A) is the correct option.
Topic: Numerical
Question: Find the missing number?
A. 13
B. 17
C. 30
D. 24
Answer: D
Explanation: Moving clock wise from top right number , Double the top right number to get bottom right number and add 2 to get bottom left number, now again double this number to get top left number in all the three figures . 
Hence in option (D) 24 is right answer
Topic: Numerical
Question: Find the missing number?
A. 16
B. 100
C. 160
D. 180
Answer: C
Explanation: Multiply all the numbers which are on the corners of the given triangles to get the number which is on the centre of particular triangle.

In 1st triangle multiply all the numbers on the corner of triangle
1 \* 2 \* 3 = 6

Again In 2nd triangle multiply all the numbers on the corner of triangle
2 \* 5 \* 3 = 30

Similarly In 3rd triangle multiply all the numbers on the corner of triangle
4 \* 8 \* 5 = 160

Hence in option (C) 160 is right answer
Topic: Numerical
Question: Find the missing number?
A. 3
B. 4
C. 5
D. 6
Answer: B
Explanation: If we add the top and bottom numbers and the subtract from it the sum of left and right terms we shall get the middle number in all the figures. 
in 1st figure 
(3+7) - (2+5) = 10 - 7 = 3 ( Middle number in 1st figure) 
In 2nd figure 
(9+9) - (7+8) =18 -15 = 3( Middle number in 2nd figure) 
In 3rd figure 
(8+8) - (6+6) = 16 -12 = 4( Middle number in 3rd figure) 

Hence in option (B) 4 is right answer
Topic: Numerical
Question: Find the missing number?
A. 13
B. 15
C. 16
D. 36
Answer: B
Explanation: Multiply the top numbers and bottom numbers row-wise; then take their difference.

1st figure:
($5 \times 6$) - ($3 \times 8$) = 30 - 24 = 6  (Middle number in 1st figure)

2nd figure:
($10 \times 4$) - ($2 \times 7$) = 40 - 14 = 26 (Middle number in 2nd figure)

3rd figure:
($9 \times 7$) - ($6 \times 8$) = 63 - 48 = 15 (Middle number in 3rd figure)

Hence, in option (B), 15 is the right answer.
Topic: Numerical
Question: Find the missing number?
A. 19
B. 29
C. 78
D. 48
Answer: C
Explanation: In 1st figure
$12 \times 5 = 15 \times 4 = 60$ (Middle number in 1st figure)

In 2nd figure
$3 \times 14 = 6 \times 7 = 42$ (Middle number in 2nd figure)

In 3rd figure
$26 \times 3 = 13 \times 6 = 78$ (Middle number in 3rd figure)

Hence in option (c) 78 is the right answer
Topic: Numerical
Question: Find the missing number?
A. 2
B. 9
C. 17
D. 18
Answer: D
Explanation: Take cube roots of all the numbers which are on outer side 
all the ellipse ( given figure ) and then add these numbers to get middle number in the figure . 

In 1st figure cube roots of 1, 64, 27 and 8 are 1 , 4 , 3 and 2 respectively. 

Now add these numbers. i.e 1 + 4 + 3 +2 = 10 
In 2nd figure cube roots of 8, 125, 64 and 27 are 2 , 5 , 4 and 3 respectively. 

Now add these numbers. i.e 2 +5 + 4 +3 = 14 
Similarly In 3rd figure cube roots of 27 , 216 , 125 and 64 are 3 , 6 , 5 and 4 respectively. 
Now add these numbers. i.e 3 + 6 + 5 + 4 = 18 

Hence in option (d) 18 is right answer
Topic: Numerical
Question: Find the missing number?
A. 3
B. 4
C. 5
D. 6
Answer: C
Explanation: In all the figures, add the numbers in the 2nd and 3rd rows, then multiply this result by the number on the right side of the figure in the 1st row to get the number on the left side of the 1st row of the given figure.

In 1st figure: 1 + 2 $\implies$ 3 $\times$ 9 = 27
In 2nd figure: 2 + 3 $\implies$ 5 $\times$ 7 = 35
In 3rd figure: x + 4 $\implies$ (x+4) $\times$ 4 = 36
4x + 16 = 36
4x = 36 - 16 = 20
x = 5

Hence, in option (c), 5 is the right answer
Topic: Numerical
Question: Find the missing number?
A. 64
B. 31
C. 93
D. 27
Answer: C
Explanation: # 1st Figure

From the first figure, we can see that the lower number is thrice (three times) the sum of the two numbers in the upper portion of the figure i.e., 18 + 9 = 27.
Now multiply it with 3, we get 27 \times 3 = 81, which is the lower number in the 1st figure.

# 3rd Figure

And for the third figure, add both the numbers 24 and 7 and then multiply the sum with 3 like this: 24 + 7 = 31 and 31 \times 3 = 93

# 2nd Figure

Similarly, the ? in the 2nd figure can be found by adding 23 and 8 and then multiplying it with 3 as follows:

23 + 8 = 31 \times 3 = 93, Hence 93 is the required number.

Hence in option (C) 93 is the right answer
Topic: Numerical
Question: Find the missing number?
A. 88
B. 26
C. 40
D. 16
Answer: C
Explanation: From 1st two figures if we multiply top and bottom terms and then subtract the result of product of left and right terms from it we shall get the number in the middle of the circles in both the given figures.

\( (6 \times 7) - (4 \times 5) = 20 \) (Middle Number in 1st Figure).

\( (9 \times 7) - (6 \times 3) = 45 \) (Middle Number in 2nd Figure).

Similarly middle number of 3rd figure can be calculated as follows:

\( (8 \times 8) - (4 \times 6) = 40 \) (Middle Number in 3rd Figure)

Hence in option (C) 40 is right answer
Topic: Numerical
Question: Find the missing number?
A. 0
B. 2
C. 11
D. 12
Answer: C
Explanation: 
If we add the left and right numbers and the subtract from it the sum of top and bottom terms we shall get the middle number in all the figures 
( 5 + 6 ) - ( 4 + 7) = 0 
( 7 + 6 ) - ( 8 + 4 ) = 1 
similarly 3rd term can be calculated as follows 
( 11 + 2 ) - ( 0 + 2 ) = 11 

Hence in option (C) 11 is right answer
Topic: Numerical
Question: Find the missing number?
A. 32
B. 23
C. 35
D. 38
Answer: A
Explanation: Add all the numbers in every circle except middle number then divide it with 3 to get middle number. 
{ 13 + 10 + 7 + 9 } / 3 = 39 / 3 = 13 ( Middle number in 1st picture) 
{ 27 + 23 + 5 + 8 } / 3 = 63 / 3 = 21 ( Middle number in 2nd picture) 
{ 35 + 44 + 9 + 8 } / 3 = 96 / 3 = 32 ( Middle number in 3rd picture) 
Hence option (A) is right answer.
Topic: Numerical
Question: Find the missing number?
A. 29
B. 16
C. 15
D. 18
Answer: D
Explanation: Multiply both the numbers in the second line then divide it with difference of the numbers in the 1st line of every figure. In last step add "7" to it to get the number in the middle of every figure. 
{ ( 9 * 6 ) / ( 13 -10 ) } + 7 = ( 54 / 3 ) + 7 = 18 + 7 = 25 ( Middle number in 1st picture ) 
{ ( 8 * 3 ) / ( 27 - 23) } + 7 = ( 24 / 4 ) + 7 = 6 + 7 = 13 ( Middle number in 2nd picture ) 
{ ( 11 * 9 ) / ( 44 - 35 ) } + 7 = ( 99 / 9 ) + 7 = 11 + 7 = 18 ( Middle number in 3rd picture ). 
Hence option (D) is right answer.
Topic: Numerical
Question: Find the missing number?
A. 4
B. 8
C. 2
D. 6
Answer: A
Explanation: This figure consist of four sectors and every sector consists of three numbers. Every number in the inner part of each sector is H C F ( Highest Common Factor ) of two other numbers, which are in outer part of each sector. 

HCF of 12 and 27 = 3 
HCF of 16 and 24 = 8 
HCF of 2 and 3 = 1 
Similarly HCF of 4 and 8 = 4 ( The value of question mark ) 
Hence option (A) is right answer.
Topic: Numerical
Question: Find the missing number?
A. 4
B. 8
C. 2
D. 6
Answer: D
Explanation: This figure consist of four sectors and every sector consists of three numbers. Every number in the inner part of each sector is HCF ( Highest Common Factor ) of two other numbers which are in outer part of each sector. 
H C F of 12 and 15 = 3 
H C F of 6 and 4 = 2 
H C F of 3 and 2 = 1 
H C F of 12 and 6 = 6 ( The value of question mark) 
Hence option (D) is right answer.
Topic: Numerical
Question: Find the missing number?
A. 14
B. 48
C. 20
D. 24
Answer: D
Explanation: This figure consist of four sectors and every sector consists of three numbers. Every number in the inner part is LCM ( Lowest Common Multiple ) of two other numbers which are in outer part of each sector. 
LCM of 12 and 15 = 60 
LCM of 9 and 6 = 18 
LCM of 3 and 2 = 6 
LCM of 8 and 6 = 24 (The value of question mark) 
Hence option (D) is right answer.
Topic: Numerical
Question: Find the odd one out?
A. 423; 452
B. 262; 562
C. 333; 452
D. 342; 345
Answer: C
Explanation: All the Numbers except one in both the circles are written in same pattern . If we multiply all the three digits of any number in both the circles then we shall get same result except in one number in both the circles. And that different result will be the odd one out in this problem.

In 1st circle
The product of digits of number 262 = 2 * 6 * 2 = 24
The product of digits of number 226 = 2 * 2 * 6 = 24
The product of digits of number 423 = 4 * 2 * 3 = 24
The product of digits of number 333 = 3 * 3 * 3 = 27 ( Odd one out)
The product of digits of number 342 = 3 * 4 * 2 = 24
In 2nd circle
The product of digits of number 562 = 5 * 6 * 2 = 60
The product of digits of number 345 = 3 * 4 * 5 = 60
The product of digits of number 543 = 5 * 4 * 3 = 60
The product of digits of number 256 = 2 * 5 * 6 = 60 
The product of digits of number 452 = 4 * 5 * 2 = 40 ( Odd one out)
So from both these circles two results 27 and 40 of numbers 333 and 452 are different from other.
Hence option (C) is right answer.
Topic: Numerical
Question: Find the odd one out?
A. 163; 414
B. 441; 444
C. 334; 108
D. 163; 108
Answer: B
Explanation: In 1st circle 
The sum of digits of number 163 = 1+ 6 + 3 = 10 
The sum of digits of number 145 = 1 + 4 + 5 = 10 
The sum of digits of number 334 = 3 + 3 + 4 = 10 
The sum of digits of number 441 = 4 + 4 + 1 = 9 ( Odd one out) 
The sum of digits of number 343 = 3 + 4 + 3 = 10 
In 2nd circle 
The sum of digits of number 414 = 4 + 1 + 4 = 9 
The sum of digits of number 333 = 3 + 3 + 3 = 9 
The sum of digits of number 444 = 4 + 4 + 4 = 12 ( Odd one out). 
The sum of digits of number 504 = 5 + 0 + 4 = 9 
The sum of digits of number 108 = 1 + 0 + 8 = 9 
So from both these circles two results 9 and 12 of numbers 441 and 444 are different from other. 
Hence option (B) is correct answer.
Topic: Numerical
Question: Find the missing number?
A. 7
B. 8
C. 5
D. 3
Answer: A
Explanation: In this circle all the numbers are written in a line and the sum of each line is 25. Starting from the line which is right side of ? (Question mark),

4 + 11 + 3 + 7 = 25
10 + 1 + 9 + 5 = 25
11 + 6 + 2 + 6 = 25
? + 5 + 5 + 8 = 25
$\implies$ ? + 18 = 25
? = 25 - 18 = 7

Hence option (A) is correct answer
Topic: Numerical
Question: Find the missing number?
A. 7
B. 8
C. 9
D. 6
Answer: B
Explanation: Here 1st circle consist of four numbers and if we divide sum of all the digits in its outer part with total numbers then result will be the middle number. 
( 3 + 8 + 7 + 2 )/4 = 20/4 = 5 ( Middle number) 
2nd circle consist of five numbers and if we divide sum of all the digits in its outer part with total numbers then result will be the middle number. 
( 6 + 4 + 8 + 5 + 7 )/5 = 30/5 =6 ( Middle number) 
3rd circle consist of six numbers and if we divide sum of all the digits in its outer part with total numbers then result will be the middle number. 
( 9 + 7 + 8 + 9 + 7 + 8 )/6 = 48/6 =8 ( Middle number) 
Hence option (B) is correct answer
Topic: Numerical
Question: Find the missing number?
A. 144
B. 12
C. 10
D. 8
Answer: D
Explanation: This figure consists of four sectors and every sector consists of three numbers. Every number in the inner part is the cube of the difference of two other numbers which are in the outer part of each sector.

$ (8 - 5)^3 = 3^3 = 27 $

$ (23 - 19)^3 = 4^3 = 64 $

$ (3 - 2)^3 = 1^3 = 1 $

$ (26 - 24)^3 = 2^3 = 8 $ (The value of the question mark)

Hence option (D) is the correct answer
Topic: Numerical
Question: Find the missing number?
A. 144
B. 0
C. 100
D. 125
Answer: A
Explanation: This figure consists of four sectors and every sector consists of three numbers. Every number in the inner part is four times the square of the difference of two other numbers which are in the outer part of each sector.

4 \times (11 - 8)^2 = 4 \times (3)^2 = 4 \times 9 = 36

4 \times (5 - 5)^2 = 4 \times (0)^2 = 4 \times 0 = 0

4 \times (7 - 3)^2 = 4 \times (4)^2 = 4 \times 16 = 64

4 \times (8 - 2)^2 = 4 \times (6)^2 = 4 \times 36 = 144 (The value of the question mark)

Hence option (A) is the correct answer
Topic: Numerical
Question: Find the missing number?
A. 216
B. 36
C. 8
D. 125
Answer: A
Explanation: This figure consists of four sectors and every sector consists of three numbers. Every number in the inner part is the cube of the difference of two other numbers which are in the outer part of each sector.

Cube of (11 - 8) = 3$^3$ = 27

Cube of (5 - 4) = 1$^3$ = 1

Cube of (7 - 3) = 4$^3$ = 64

Cube of (8 - 2) = 6$^3$ = 216 (The value of the question mark)

Hence option (A) is the correct answer
Topic: Numerical
Question: Find the missing number?
A. 100
B. 82
C. 120
D. 110
Answer: A
Explanation: This figure consists of four sectors and every sector consists of three numbers. Every number in the inner part is five times the product of two other numbers which are in the outer part of each sector.

\( (6 \times 3) \times 5 = 18 \times 5 = 90 \)
\( (2 \times 3) \times 5 = 6 \times 5 = 30 \)
\( (4 \times 2) \times 5 = 8 \times 5 = 40 \)
\( (5 \times 4) \times 5 = 20 \times 5 = 100 \) (The value of question marks).

Hence option (A) is the right answer.
Topic: Numerical
Question: Find the missing number?
A. 27
B. 28
C. 23
D. 29
Answer: B
Explanation: This figure consist of four sectors and every sector consists of three numbers. Every number in the inner part is the sum of two other numbers which are in outer part of opposite sector to these numbers.
24 + 11 = 35 ( The number opposite to both 24 and 11 ) . 
13 + 26 = 39 ( The number opposite to both 246and 13 ) . 
9 + 25 = 34 ( The number opposite to both 9 and 25 ) . 
7 + ? = 35 ( The number opposite to both 7 and ? ) . 
So if we put ? = 28 then we shall have total equal to 35.
Hence option (B) is right answer
Topic: Numerical
Question: Find the odd one out?
A. 145; 128
B. 451; 441
C. 255; 444
D. 145; 224
Answer: C
Explanation: In 1st circle
The product of digits of number 145 = 1 * 4 * 5 = 20
The product of digits of number 451 = 4 * 5 * 1 = 20
The product of digits of number 225 = 2 * 2 * 5 = 20
The product of digits of number 541 = 5 * 4 * 1 = 20
The product of digits of number 255 = 2 * 5 * 5 = 50 (Odd one out)

In 2nd circle
The product of digits of number 414 = 4 * 1 * 4 = 16
The product of digits of number 444 = 4 * 4 * 4 = 64 (Odd one out)
The product of digits of number 224 = 2 * 2 * 4 = 16
The product of digits of number 441 = 4 * 4 * 1 = 16
The product of digits of number 128 = 1 * 2 * 8 = 16

So from both these circles two results 50 and 64 of numbers 255 and 444 are different from other.
Hence option (C) is right answer.
Topic: Numerical
Question: Find the missing number?
A. 20
B. 21
C. 35
D. 26
Answer: B
Explanation: This box problem consists of four rows and four columns. And we have to find the value of the question mark after studying the pattern of all the numbers in this box. This question mark is in the 4th row of the 4th column.

To find the value of the question mark, we shall divide this box into two parts vertically. Then we can have the formula for these numbers written in this box. Because after careful observation we can see that the product of both the numbers in the left half in any particular row is equal to the sum of both the numbers in the right half in that particular row.

Column wise:

Formula:  ($1^{st}$ number $\times$ $2^{nd}$ number) = ($3^{rd}$ number $\times$ $4^{th}$ number)

15 $\times$ 10 = 6 $\times$ 25 = 150 (Equal Product in both the halves of the $1^{st}$ row)

4 $\times$ 16 = 8 $\times$ 8 = 64 (Equal Product in both the halves of the $2^{nd}$ row)

6 $\times$ 6 = 12 $\times$ 3 = 36 (Equal Product in both the halves of the $3^{rd}$ row)

Similarly
$\implies$ 7 $\times$ 9 = 3 $\times$ ? = 63 (Equal Product in both the halves of the $4^{th}$ row)
$\implies$ ? = 63 / 3
$\implies$ ? = 21

Option (B) 21 is the correct option.
Topic: Numerical
Question: Find the missing number?
A. 2
B. 7
C. 14
D. 28
Answer: C
Explanation: This reasoning problem consists of three figures, and every figure has four numbers associated with it. Two numbers are on the upper line of each box, and two numbers are at the bottom line of each box. Look at the last figure; it has a ? in its 3rd figure. So the solution to this problem is to find the value of the question mark using three numbers associated with it.

But the main problem is how to utilize these three numbers to get the value of the question mark?
Now watch carefully the first two figures. Since these figures have some large values of numbers in one box.
Now we have to find or search for the formula for these four numbers in the first two figures to utilize them in any possible way to get the number in that box.
The same formula will be applicable to the third figure to find out the value of the question mark.

Formula: Product of all the numbers = 168

1st Box

Product of all the numbers in the 1st box is equal to 168

3 \* 7 \* 4 \* 2 = 168 (1st figure)

2nd Box

Product of all the numbers in the 2nd box is equal to 168

8 \* 3 \* 7 \* 1 = 168 (2nd figure)

3rd Box

Product of all the numbers in the 3rd box is equal to 168

1 \* 6 \* ? \* 2 = 168 (3rd figure)

12 \* ? = 168

? = 168 \div 12

? = 14

Option (C) 14 is the correct option.
Topic: Numerical
Question: Find the missing number?
A. 4
B. 1
C. 5
D. 6
Answer: B
Explanation: This box problem consists of four rows and three columns. And we have to find the value of the question mark after studying the pattern of all the numbers in this box. This question mark is in the 4th row of the 3rd column.

To find the value of the question mark, we shall divide this box into two parts horizontally; then we can have the formula for these numbers written in this box. Because after careful observation we can see that the product of both the numbers in the upper half in any particular column is equal to the sum of both the numbers in the lower half in that particular column.

Formula: \( (1^{st} \text{ number} \times 2^{nd} \text{ number}) = (3^{rd} \text{ number} + 4^{th} \text{ number}) \)

1st column :- 
\(8 + 7 = 56\)  \(2 + 13 = 15\) 

2nd column :- 
\(3 + 6 = 9\)
\(4 + 5 = 9\) (Equal sum in both halves of the 2nd column)

3rd column :- 
\(4 + 1 = 5\)
\(4 + ? = 5\) (Equal sum in both halves of the 3rd column)

\( \implies 4 + ? = 5 \)
\( \implies ? = 5 - 4 \)
\( \implies ? = 1 \)

Option (B) 1 is the correct option.
Topic: Numerical
Question: Find the missing number?
A. 25
B. 36
C. 30
D. 5
Answer: D
Explanation: This box problem consists of three rows and three columns. And we have to find the value of the question mark after studying the pattern of all the numbers in this box.

1st number of every row is equal to the product of the square of the 3rd number and the square root of the 2nd number.

Formula: $3^{rd}\ number^2 \times \sqrt{2^{nd}\ number}$

$(3)^2 \times \sqrt{49} = 9 \times 7 = 63$ (Number in 1st row 1st column)
$(4)^2 \times \sqrt{25} = 16 \times 5 = 80$ (Number in 2nd row 1st column)
$(?)^2 \times \sqrt{64} = 200$ (Number in 3rd row 1st column)
$(?)^2 \times 8 = 200$
$(?)^2 = 200 \div 8$
$(?)^2 = 25$
$? = 5$

Option (D) 5 is the correct option.
Topic: Numerical
Question: Find the missing number?
A. 64
B. 54
C. 66
D. 97
Answer: A
Explanation: This box problem consists of three rows and three columns. And we have to find the value of the question mark after studying the pattern of all the numbers in this box.

Since the question mark is in the 1st column of the 3rd row, so we can use any two numbers in any two particular columns to find the value of the 3rd number in that particular column.

Formula: $2^{nd} \text{ number}^3 \times \sqrt[3]{3^{rd} \text{ number}} = 1^{st} \text{ number}$

$4^3 \times \sqrt[3]{8} = 64 \times 2 = 128$ (Number in 1st row 1st column)

$3^3 \times \sqrt[3]{64} = 27 \times 4 = 108$ (Number in 2nd row 1st column)

$2^3 \times \sqrt[3]{512} = 8 \times 8 = 64$ (Number in 3rd row 1st column)

Option (A) 64 is the correct option.