Number, Ranking and Time Sequence SHORT CUT METHODS FOR REASONING

type1- Number test :- In this type of questions, generally a set , group or series of numerals is given and the candidate is asked to trace out numerals following certain given conditions or lying at specific mentioned positions after shuffling according to a certain given pattern.

1. How many 5s are there in the following number sequence, which are immediately preceded by 7 and immediately followed by 6?

7 5 5 9 4 5 7 6 4 5 9 8 7 5 6 7 6 4 3 2 5 6 7 8

a. One b. two c. three d. four

2. How many 6's are there in the following number series , each of which is immediately preceded by 1 or 5 and immediately followed by 3 or 9?

2 6 3 7 5 6 4 2 9 6 1 3 4 1 6 3 9 1 5 6 9 2 3 1 6 5 4 3 2 1 9 6 7 1 6 3

a. none b. one c.two d.three e.none of these

3. How many 7's immediately preceded by 6 but not immediately followed by 4 are there in the following series ?

7 4 2 7 6 4 3 6 7 5 3 5 7 8 4 3 7 6 7 2 4 0 6 7 4 3

a.one b. two c.four d.six

4. In the series given below , count the number of 9's , each of which is not immediately preceded by 5 but is immediately followed by either 2 or 3. How many such 9's are there ?

1 9 3 2 1 7 4 2 6 9 7 4 6 1 3 2 8 7 4 1 3 8 3 2 5 6 7 4 3 9 5 8 2 0 1 8 7 4 6 3

a. one b. three c. five d. six

5. How many 4's are there preceded by 7 but not followed by 3?

5 9 3 2 1 7 4 2 6 9 7 4 6 1 3 2 8 7 4 1 3 8 3 2 5 6 7 4 3 9 5 8 2 0 1 8 7 4 6 3

a. three b. four c. five d.six.

soln. 1(a ) , 2(d ) , 3 ( b ) , 4 ( b ) , 5 ( b )

TYPE- RANKING TEST

EX.1 Rohan ranks 7th from the top and 26th from the bottom in the class. How many students are there in the class?

a.31 b.32 c.33 b.34

Soln. Clearly , the whole class consist of

i) 6 students who have ranked higher than Rohan

ii) Rohan, and

iii) 25 students who have ranks lower than Rohan i.e. 6+1+25 = 32 students

EX.2 Manik is 14 th from the right end in the row of 40 students . What is his position from the left end ?

i) 24 ii) 25 iii)26 iv)27

Soln. Clearly, The number of students towards the left of the Manik = 40-14= 26

so Manik is coming 27th from the left end . Hence the answer is (d)

EX.3 In a row of boys facing the north , A is 16th from the left end and C is 16 th from the right end . B , who is 4th to the right of A , is 5th to the left of C, in a row. How many boys are there in a row?

a. 39 b. 40 c.41 d. 42 e. 43

Soln. Clearly , according to given conditions , there are 15 boys to the left of A , as well as to the right of C . Also , B lies between A and C such that there are three boys between A and B, and 4 boys between B and C.

N

A B C

15 3 4 15

so, number of boys in a row = ( 15+1+3+1+4+1+15)= 40. Hence our answer is (b).

type1- Number test :- In this type of questions, generally a set , group or series of numerals is given and the candidate is asked to trace out numerals following certain given conditions or lying at specific mentioned positions after shuffling according to a certain given pattern.

1. How many 5s are there in the following number sequence, which are immediately preceded by 7 and immediately followed by 6?

7 5 5 9 4 5 7 6 4 5 9 8 7 5 6 7 6 4 3 2 5 6 7 8

a. One b. two c. three d. four

2. How many 6's are there in the following number series , each of which is immediately preceded by 1 or 5 and immediately followed by 3 or 9?

2 6 3 7 5 6 4 2 9 6 1 3 4 1 6 3 9 1 5 6 9 2 3 1 6 5 4 3 2 1 9 6 7 1 6 3

a. none b. one c.two d.three e.none of these

3. How many 7's immediately preceded by 6 but not immediately followed by 4 are there in the following series ?

7 4 2 7 6 4 3 6 7 5 3 5 7 8 4 3 7 6 7 2 4 0 6 7 4 3

a.one b. two c.four d.six

4. In the series given below , count the number of 9's , each of which is not immediately preceded by 5 but is immediately followed by either 2 or 3. How many such 9's are there ?

1 9 3 2 1 7 4 2 6 9 7 4 6 1 3 2 8 7 4 1 3 8 3 2 5 6 7 4 3 9 5 8 2 0 1 8 7 4 6 3

a. one b. three c. five d. six

5. How many 4's are there preceded by 7 but not followed by 3?

5 9 3 2 1 7 4 2 6 9 7 4 6 1 3 2 8 7 4 1 3 8 3 2 5 6 7 4 3 9 5 8 2 0 1 8 7 4 6 3

a. three b. four c. five d.six.

soln. 1(a ) , 2(d ) , 3 ( b ) , 4 ( b ) , 5 ( b )

TYPE- RANKING TEST

EX.1 Rohan ranks 7th from the top and 26th from the bottom in the class. How many students are there in the class?

a.31 b.32 c.33 b.34

Soln. Clearly , the whole class consist of

i) 6 students who have ranked higher than Rohan

ii) Rohan, and

iii) 25 students who have ranks lower than Rohan i.e. 6+1+25 = 32 students

EX.2 Manik is 14 th from the right end in the row of 40 students . What is his position from the left end ?

i) 24 ii) 25 iii)26 iv)27

Soln. Clearly, The number of students towards the left of the Manik = 40-14= 26

so Manik is coming 27th from the left end . Hence the answer is (d)

EX.3 In a row of boys facing the north , A is 16th from the left end and C is 16 th from the right end . B , who is 4th to the right of A , is 5th to the left of C, in a row. How many boys are there in a row?

a. 39 b. 40 c.41 d. 42 e. 43

Soln. Clearly , according to given conditions , there are 15 boys to the left of A , as well as to the right of C . Also , B lies between A and C such that there are three boys between A and B, and 4 boys between B and C.

N

A B C

15 3 4 15

so, number of boys in a row = ( 15+1+3+1+4+1+15)= 40. Hence our answer is (b).

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