Ten most important problems of Reasoning for competitive exams
Solution
6 is related to 29 in the same way 24 will be related to ? , It means we have to apply same mathematical operations to 24 to get ?.
6 is related to 29 in the same way 24 will be related to ? , It means we have to apply same mathematical operations to 24 to get ?.
So if we multiply 6 with 5 and then subtract 1 from result obtained in previous step like this ( 6 × 5 ) - 1 which will be equal to 29.
Same operation we have to apply to 24.
( 24 × 5 ) - 1 = 120 - 1 = 119
So Correct option is ( c ) 119Problem # 2
5 : 100 :: 7 : ?
(a) 135 (b) 91 (c) 196 (d) 49
Solution
Because in 1st case if we take Square of 5 then multiply it with 4 we shall have 100.
5² × 4 = 25 × 4 = 100
Same procedure will be applied in 3rd number by taking square of 7 then multiply it with 4
7² × 4 = 49 × 4 = 196
Correct option is ( c ) 196
Problem # 3
6 : 18 :: 4 : ?
(a)4 (b)6 (c)8 (d)10
Solution
Divide 6² by 2
6² ÷ 2 = 36 ÷ 2 = 18
Similarly divide 4² with 2
i.e. 4² ÷ 2 = 16 ÷2 = 8
Divide the square of 1st number by 2 to get 2nd number. Similarly take square of third number and then divide it by 2 to to get the number equal to? Since square of 4 is 16 then divided by 2 to get it.
Correct option is ( c ) 8
Divide 6² by 2
6² ÷ 2 = 36 ÷ 2 = 18
Similarly divide 4² with 2
i.e. 4² ÷ 2 = 16 ÷2 = 8
Divide the square of 1st number by 2 to get 2nd number. Similarly take square of third number and then divide it by 2 to to get the number equal to? Since square of 4 is 16 then divided by 2 to get it.
6² ÷ 2 = 36 ÷ 2 = 18
4² ÷ 2 = 16 ÷ 2 = 8
Correct option is ( c ) 8
Problem # 4
18 : 30 :: 36 : ?
(a)64 (b) 62 (c)54 (d) 66
Solution
(18 × 2 ) - 6 = 36 - 6 = 30
(36 × 2 ) - 6 = 72 - 6 = 66
correct option is ( d) 66
(18 × 2 ) - 6 = 36 - 6 = 30
(36 × 2 ) - 6 = 72 - 6 = 66
Multiply 1st number (18) with 2 and then subtract 6 from it
18 × 2 = 36 - 6 = 30
Similarly Multiply 3rd number ( 36 ) with 2 and then subtract 6 from it ,
36 × 2 = 72 - 6 = 66
Problem # 5
12 : 20 :: 30 : ?
(a)48 (b)42 (c)15 (d)35
Solution
Method 1
Split 12 = 3 × 4
Split 20 = 4 × 5,
Split 30 = 5 × 6,
Study these factors (3 , 4 ) , (4 ,5 ) ,(5 ,6 ) so next pair will be ( 6 , 7 ) , It means ? Will be replaced by the number 6 × 7 = 42
12 will be written as square of 3 plus 3 , 20 will be written as square of 4 plus 4 ,30 will be written as square of 5 plus 5, so next number will be written as square of 6 plus 6 which is equal to 42 , Therefore required option will be 42.
Or
Or
Make continuous factors 3 and 4 , 4 and 5 ,5 and 6 and 6 and 7 of 12, 20, 30 and 42 respectively
12 = 3 × 4 ,
20 = 4 × 5 ,
30 = 5 × 6 so
42 = 6 × 7
Add same number to its square to get next number
Or multiply next number to the number
9 = 3² + 3 ,
20 = 4² +4 ,
30 = 5² + 5
42 = 6² + 6
12 = 3 × 4 ,
20 = 4 × 5 ,
30 = 5 × 6 so
42 = 6 × 7
Add same number to its square to get next number
Or multiply next number to the number
9 = 3² + 3 ,
20 = 4² +4 ,
30 = 5² + 5
42 = 6² + 6
Correct option is ( b ) 42
Problem # 6
12 : 54 :: 15 : ?
(a)64 (b)69 (c)56 (d)67
Solution
{(1st number ) × 5} - 6 = 2nd number
(12 × 5) - 6 = 54
Multiply 3rd number with 5 then subtract 6 from it
{(3rd number ) × 5} - 6 = 4th number
(15 × 5) - 6 = 69
{(1st number ) × 5} - 6 = 2nd number
(12 × 5) - 6 = 54
Multiply 3rd number with 5 then subtract 6 from it
{(3rd number ) × 5} - 6 = 4th number
(15 × 5) - 6 = 69
Multiply first number ( 12 ) with 5 then subtract 6 from it to get 2nd number ( 54 ) , Similarly Multiply third number ( 15 ) with 5 then subtract 6 from it.
( 1 2 × 5 ) - 6 = 60 - 6 = 54
( 1 2 × 5 ) - 6 = 60 - 6 = 54
( 1 5 × 5 ) - 6 = 75 - 6 = 69
Correct option is ( b) 69
Problem # 7
6 : 5 :: 8 : ?
(a) 6 (b)10 (c) 2 (d)4
Solution
Add 4 to 1st number and divide it with 2 to get 2nd number( 6 + 4 )/2 = 5
Similarly in 2nd case Add 4 to 3rd number then divide the resultant with 2 to get 4th number
( 8 + 4 )/2 = 6
Correct option is ( a ) 6
Add 4 to 1st number and divide it with 2 to get 2nd number( 6 + 4 )/2 = 5
Similarly in 2nd case Add 4 to 3rd number then divide the resultant with 2 to get 4th number
( 8 + 4 )/2 = 6
Correct option is ( a ) 6
Problem # 8
29 : 319 :: 23 : ?
(a)115 (b)252 (c)151 (d)46
Solution
Add both the digits of first number i.e. 2 and 9 then multiply it with first number to get second number. similarly in the third number add both the digits I.e 2 and 3 and multiply it with 3rd number to get fourth number.
29 × ( 2 + 9 ) = 29 × 11 = 319
23 × ( 2 + 3 ) = 23 × 5 = 115
So 253 is the right option (a) 115
6 : 64 :: 11 : ?
(a) 127 (b) 124 (c) 144 (d) 169
Solution
Add 2 to 1st given number and take its Square to get 2nd number. Similarly add 2 to 3rd number and take it square to get fourth number.
(6 + 2 )² = 8² = 64
(11 + 2)² = 13² = 169
(6 + 2 )² = 8² = 64
(11 + 2)² = 13² = 169
Correct option is ( d ) 169
Problem # 10
36 : 50 :: 64 : ?
(a)70 (b) 82 (c)78 (d) 72
Solution
Take Square Root of 1st number and add 1 to it then add 1 to its Square to get 2nd number.
Similarly take square root of 64 add 1 to its square root and take it square and add 1 to get 4th number.
36 = 6² ---> (6 + 1)² + 1 = 50 ,
64 = 8² ------> ( 8 + 1)² + 1 = 82
√36 = 6 add 1 to it = 7 , square this number = 49 + 1 = 50
√64 = 8 add 1 to it = 9 , square this number = 81 + 1 = 82
So Correct option is ( b ) 82
No comments:
Post a Comment
Your valuable suggestions are always acceptable to us for betterment of this website