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Territorial Army Officers Exam Reasoning Study Material

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Arithmetic reasoning

Let a # b # c # d=ab-cd. If x= 6 # 3 # 5 # 4, What is the value of 7 # x # 3 # 11 ?

a) -47
b) 37
c) 19
d) -19

✔Answer

✔Solution

Correct Answer Is : -47

Solution Is :

Q.In a class, there are 80 students who study both Computer Science and Electronics. While 100 students study Computer Science, 120 students study Electronics. How many of them study Computer Science only ?

a) 100
b) 40
c) 180
d) 20

✔Answer

✔Solution

Correct Answer Is : 20

Solution Is :

Q.In an examination, Rahul got the 11th rank and he was 47th from the bottom among those who passed 3 students could not appear from the exam. 1 student failed. What is the total number of students ?

a) 60
b) 62
c) 59
d) 61

✔Answer

✔Solution

Correct Answer Is : 61

Solution Is : Number of successful candidates = 11 + 47 - 1 = 57 Total number of students = 57 + 3 + 1 = 61.

Arrange the given dates of birth in descending chronology.
1. 15.04.1950
2. 14.05.1960
3. 14.06.1960
4. 20.04.1950
5. 25.05.1960

a) 1, 5, 2, 3, 4
b) 1, 3, 2, 4, 5
c) 1, 4, 2, 5, 3
d) 1, 2, 4, 5, 3

✔Answer

✔Solution

Correct Answer Is : 1, 4, 2, 5, 3

Solution Is :

Thetotal number of students in class A and class B is 120 . If 15 students from class A are taken and added to class B, the number in Class B becomes twice that of A. Find out the number of students in Class A in the beginning .

a) 80
b) 65
c) 55
d) 40

✔Answer

✔Solution

Correct Answer Is : 55

Solution Is : Suppose total number of students in class
A = x
Total number of students in class B = 120 -x
Then , (120-x +15 ) = 2 ( x - 15 )
135 - x = 2x - 30
3x = 165
x = 165 / 3
x = 55

Inf 5=5,6=12,7=21,8=32 ,then 9 is equal to

a) 9
b) 27
c) 36
d) 45

✔Answer

✔Solution

Correct Answer Is : 45

Solution Is : 51 = 5
62=12
73=21
84=32
9*5=45

Which among the following is a leap year?

a) 1600
b) 1900
c) 1800
d) All of these

✔Answer

✔Solution

Correct Answer Is : 1600

Solution Is : Centuries should be divided by 400 hence only 1600 is divided by 400 , hence 1600 is a leap year

In 60 families 30% of the families own a car each. 50% of the remaining family own a motor cycle each. Balance of families own a bicycle each. How many families own bicycle

a) 12
b) 21
c) 18
d) 42

✔Answer

✔Solution

Correct Answer Is : 21

Solution Is : Number of families having car
30% of 60 = 18
Remaining number of families = 60 - 18 =42
Number of families having motor cycle 50% of 42 =21
Number of families having bicycle = 42 - 21 =21

Select the related word/ letter/ numbers from the given alternatives.
Joel and Tom were traveling from Town X to Town Y which was 210 km apart. Joel set off 1 h 15 min later than Tom but arrived 15 min earlier. If the average speed of Tom was 42 km/hr, find the average speed of Joel.

a) 50 km/hr
b) 60 km/hr
c) 65 km/hr
d) 70 km/hr

✔Answer

✔Solution

Correct Answer Is : 60 km/hr

Solution Is :

A bus driver wants to travel a distance of 200km. He travels with the speed of 40 km/hr. He takes rest at 3 different hotels for 15 min, 30 min and 15 min respectively. He starts his journey at 9:00 am. At what time does he reach his final destination?

a) 3:00:00 AM
b) 3:00:00 PM
c) 3:30:00 AM
d) 2:30:00 PM

✔Answer

✔Solution

Territorial Army Officers Exam Reasoning Study Material

Arithmetic reasoning

Let a # b # c # d=ab-cd. If x= 6 # 3 # 5 # 4, What is the value of 7 # x # 3 # 11 ?

Correct Answer Is : -47

Solution Is :

Q.In a class, there are 80 students who study both Computer Science and Electronics. While 100 students study Computer Science, 120 students study Electronics. How many of them study Computer Science only ?

Correct Answer Is : 20

Solution Is :

Q.In an examination, Rahul got the 11th rank and he was 47th from the bottom among those who passed 3 students could not appear from the exam. 1 student failed. What is the total number of students ?

Correct Answer Is : 61

Solution Is : Number of successful candidates = 11 + 47 - 1 = 57 Total number of students = 57 + 3 + 1 = 61.

Arrange the given dates of birth in descending chronology. 1. 15.04.1950 2. 14.05.1960 3. 14.06.1960 4. 20.04.1950 5. 25.05.1960

Correct Answer Is : 1, 4, 2, 5, 3

Solution Is :

Thetotal number of students in class A and class B is 120 . If 15 students from class A are taken and added to class B, the number in Class B becomes twice that of A. Find out the number of students in Class A in the beginning .

Correct Answer Is : 55

Solution Is : Suppose total number of students in class A = x Total number of students in class B = 120 -x Then , (120-x +15 ) = 2 ( x - 15 ) 135 - x = 2x - 30 3x = 165 x = 165 / 3 x = 55

Inf 5=5,6=12,7=21,8=32 ,then 9 is equal to

Correct Answer Is : 45

Solution Is : 5*1 = 5 6*2=12 7*3=21 8*4=32 9*5=45

Which among the following is a leap year?

Correct Answer Is : 1600

Solution Is : Centuries should be divided by 400 hence only 1600 is divided by 400 , hence 1600 is a leap year

In 60 families 30% of the families own a car each. 50% of the remaining family own a motor cycle each. Balance of families own a bicycle each. How many families own bicycle

Correct Answer Is : 21

Solution Is : Number of families having car 30% of 60 = 18 Remaining number of families = 60 - 18 =42 Number of families having motor cycle 50% of 42 =21 Number of families having bicycle = 42 - 21 =21

Select the related word/ letter/ numbers from the given alternatives.Joel and Tom were traveling from Town X to Town Y which was 210 km apart. Joel set off 1 h 15 min later than Tom but arrived 15 min earlier. If the average speed of Tom was 42 km/hr, find the average speed of Joel.

Correct Answer Is : 60 km/hr

Solution Is :

A bus driver wants to travel a distance of 200km. He travels with the speed of 40 km/hr. He takes rest at 3 different hotels for 15 min, 30 min and 15 min respectively. He starts his journey at 9:00 am. At what time does he reach his final destination?

Correct Answer Is : 3:00:00 PM

Solution Is :

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Arrange the given dates of birth in descending chronology.
1. 15.04.1950
2. 14.05.1960
3. 14.06.1960
4. 20.04.1950
5. 25.05.1960

Solution Is : Suppose total number of students in class
A = x
Total number of students in class B = 120 -x
Then , (120-x +15 ) = 2 ( x - 15 )
135 - x = 2x - 30
3x = 165
x = 165 / 3
x = 55

Solution Is : 51 = 5
62=12
73=21
84=32
9*5=45

Solution Is : Number of families having car
30% of 60 = 18
Remaining number of families = 60 - 18 =42
Number of families having motor cycle 50% of 42 =21
Number of families having bicycle = 42 - 21 =21

Select the related word/ letter/ numbers from the given alternatives.
Joel and Tom were traveling from Town X to Town Y which was 210 km apart. Joel set off 1 h 15 min later than Tom but arrived 15 min earlier. If the average speed of Tom was 42 km/hr, find the average speed of Joel.