Logical Reasoning
Questions and answers on Arithmetical Reasoning
1. A farmer had 17 hens. All but seven died. How many was he left with?


Correct Answer:Option
A
Explanation:
‘All but seven died’ means ‘All except seven died’
i.e., seven hens remained alive.
2. A bird hunter was asked how many birds he had in the basket. He replied that there were all quails but ten, all swans but ten, and all doves but ten. How many birds had he in all?


Correct Answer:Option
B
Explanation:
‘There were all quails but ten’ means that ten birds were not quails but only swans and doves.
Similarly, number of quails + number of swans = 10
And number of quails + number of doves = 10.
This is possible when there are 5 quails,5swans and 5doves.
So total birds are 15.
3. A group of 800 consists of teachers and students,who are travelling in a bus. For every 19 students there is one teacher. Total number of teachers =?


Correct Answer:Option
C
Explanation:
Here, out of every 20 persons, there is one teacher.
So, number of teachers = 800/20 = 40.
4. At the end of a meeting the 8 people present all shake hands with each other once. Total handshakes will there be altogether?


Correct Answer:Option
B
Explanation:
Here, total number of handshakes = ( 7 + 6 + 5 + 4 + 3 + 2 + 1) = 28.
5. First box of apples has 1/4 again as many apples as in second box. If the second box has 6 apples less than the first box, then find the number of apples in the first box?


Correct Answer:Option
A
Explanation:
Let the number of apples in the second box be a.
Then, number of apples in the first box = a + 1/4 a = 5/4 a .
So, 5/4 a  a = 6
=> 5a  4a = 24 => a = 24 .
∴ Number of apples in first box = 5/4 ×24 = 30 .
6. Anuroop got double as many sums wrong as he got right. If he attempted 69 sums in all, how many did he solve correctly?


Correct Answer:Option
C
Explanation:
Suppose the boy got s sums right and 2s sums wrong.
Then,
s + 2s = 69 => 3s = 69 => s = 23.
7. Men in a park are 2 times more the number of women. Find the proper number in the given answers list, which represents the total no of people in the park?


Correct Answer:Option
A
Explanation:
Let number of women = w and number of men = 2w.
Then,
2w + w = 3w = total number of people.
Thus,
The total number of people must be divisible by 3.
8. Bus starts from Hyderabad city, the number of boys in the bus is half of the number of girls. When bus reaches in secunderabad city 10 girls leave the bus and 5 men enter the bus, now boys and girls are equal in number. Find the number of passengers in bus at Hyderabad city?


Correct Answer:Option
B
Explanation:
Originally, let the number of boys = B.
Then, number of girls = 2B .
In Secunderabad city,
we have :
(2B  10) = (B + 5) <=> B = 15.
∴ Total number of passengers in bus at Hyderabad city
= (B + 2B) = 3B = 3 × 15 = 45.
9. Sumit wants to pack chocolates, If he pack 2, 3 or 4 in a box, Sumit left with one chocolate. If Sumit keep 5 in a box, nothing will remain. Find the minimum number of chocolates to pack and distribute?


Correct Answer:Option
B
Explanation:
Here, the required number to pack has to leave reminder 1, when devided with 2, 3 or 4 and no remainder when divided by 5.
By the above points, the answer is 25.
10. Ram have 5 puzzle books between 2 book ends with him. If Ram wants to arrange the puzzle books in every possible way by moving one book every time, Find the time needed to perform the entire task?

A.

4 hours

B.

9 hours

C.

2 hours

D.

12 hours


Correct Answer:Option
C
Explanation:
Total number of ways to arrange 5 books = 5 × 4 × 3 × 2 × 1 = 120.
Total time needed = 120 min.
11. Vinay knows 4 different routes from area A to area B, He knows 3 routes from Area C to Area D and Area D to area E he knows 2 different routes. Find the total no of routes that Viay knows from area A to area E?


Correct Answer:Option
C
Explanation:
Total number of routes known by Vinay from area A to area E
= 4 × 3 × 2 = 24.
12. In a cricket match, total runs scored by P, Q, R, S and Tare 180 runs. S scored 5 more runs than T ; T scored 8 runs less runs than P, Q scored as many as S and T combined, Q and R scored 107 between them. Find the total runs scored by T?


Correct Answer:Option
B
Explanation:
Total runs = 180.
Let the runs scored by T be A.
Runs scored by S = A + 5.
Runs scored by P = A + 8.
Runs scored by Q = A + A + 5 = 2A + 5 .
Runs scored by R = (107 – B) = 107 – (2A + 5) = 102  2A .
So, total runs = (A + 8) + (2A + 5) + (102  2A) + (A + 5) + A = 3A + 120
So, 3A + 120 = 180
<=> 3A = 60 <=> A = 20 .
Thus, runs scored by T = 20.
13. If Johnavi gives 40 rs to Radha, She will have half as much as Anuradha, but If Anuradha gives rs 40 to Radha, then amount with them remains same. Find thetotal amount?


Correct Answer:Option
C
Explanation:
In this question, we have :
J – 40 = 1/2 A > equ1
A – 40 = J > equ2
A – 40 = R + 40 > equ3
After solving 3 equations,
Amount with Johnavi = rs120,
Amount with Anuradha = rs160,
Amount with Radha = rs80
Total money = Rs. 360.
14. In a particular place 40 birds, 35 buffalos, 6 sheeps and large no of workers are there. If the total no of feet be 320 more than the number of heads. Find the number of Workers?


Correct Answer:Option
D
Explanation:
This question has to be solved according to the leg numbers of the animals and workers.
Letus assume the number of workers = w.
Then, total number of feet = 2 × 40 + 4 × 35 + 4 × 6 + 2w = 2w + 244 .
Total number of heads = 40 + 35 + 6 + w = 81 + w .
Now,
(2w + 244) = (81 + w) + 320 <=> w = 157 .
15. A X number of horses and same number of men are going on beach. Half of the men are on their horses, the remaining men are walking along with horses. If the number of legs walking on the ground is 110, how many horses are there?


Correct Answer:Option
C
Explanation:
Let number of horses = X,
number of men = X.
Then, number of legs = 4X + 2 × X/2 = 5X .
So, 5X = 110 <=> X = 22.
16. In an exam, condition is 4 marks for every correct answer and 1 mark less for every wrong answer. If Alfred attempts all 100 questions and secures 145 marks, find the total number of questions which Alfred attempts correctly?


Correct Answer:Option
A
Explanation:
Let the number of correct answers be a.
Number of incorrect answers = (100  a).
4a  (100 – a) = 135
<=> 5a = 235 <=> a = 47 .
17. Amar is 3 times as old as Boman. four years ago Chris was twice as old as Amar. In four year’s time, Amar will be 31years. What is the present age of Boman and Chris?


Correct Answer:Option
B
Explanation:
Clearly, we have :
Let us assume Amar age is x years, Boman age is y years, Chris age is z years
According to the question,
x = 3y > equ  1
z – 4 = 2 (x  4) > equ – 2
Also, x + 4 = 31 (or) x = 27 .
Putting x = 27 in > equ  1, we get : y = 9.
Putting x = 27 in > equ  2, we get : z = 50.
So age of Boman = 9years,
age of Chris = 50years.
18. A is now 3 times as old as B. 4 years back, A was 3 times as old B. Find the age of B?


Correct Answer:Option
C
Explanation:
According to the question,.
4 years ago, A’s age = 3B  4 and B’s age = B  4 .
So, 3B  4 = 4 (B  4) <=> 3B  4 = 4B  16 <=> B = 12 .
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