Aptitude and Reasoning Questions
Q1. What was the day on 15th august 1947 ?
A) Friday B) Saturday
C) Sunday D) Thursday
Answer and Explanation
Answer:- A) Friday
Explanation:-
15 Aug, 1947 = (1946 years + Period from 1.1.1947 to 15.8.1947)
Odd days in 1600 years = 0
Odd days in 300 years = 1
46 years = (35 ordinary years + 11 leap years) = (35 x 1 + 11 x 2)= 57 (8 weeks + 1 day) = 1 odd day
Jan. Feb. Mar. Apr. May. Jun. Jul. Aug
( 31 + 28 + 31 + 30 + 31 + 30 + 31 + 15 ) = 227 days = (32 weeks + 3 days) = 3 odd days.
Total number of odd days = (0 + 1 + 1 + 3) = 5 odd days.
Hence, as the number of odd days = 5 , given day is Friday.
Q2. Today is Monday. After 61 days, it will be :
A) Tuesday B) Monday
C) Sunday D) Saturday
Answer and Explanation
Answer:- D) Saturday
Explanation:-
Each day of the week is repeated after 7 days. So, after 63 days, it will be Monday.
After 61 days, it will be Saturday.
Q3. A and B invest in a business in the ratio 3 : 2. If 5% of the total profit goes to
charity and A's share is Rs. 855, the total profit is :
A) 500 B) 1000
C) 1500 D) 2000
Answer and Explanation
Answer: C) 1500
Explanation:
Let the total profit be Rs. 100.
After paying to charity, A's share = (95*3/5) = Rs. 57.
If A's share is Rs. 57, total profit = Rs. 100.
If A's share is Rs. 855, total profit = (100/57*855) = 1500.
Q4. If each side of a square is increased by 25%, find the percentage change in its area?
A) 65.25 B) 56.25
C) 65 D) 56
Answer & Explanation
Answer:- B) 56.25
Q5. A can do a piece of work in 10 days, B in 15 days. They work together for 5 days, the rest of the work is finished by C in two more days. If they get Rs. 3000 as wages for the whole work, what are the daily wages of A, B and C respectively (in Rs):
A) 200, 250, 300 B) 300, 200, 250
C) 200, 300, 400 D) None of these
Answer and Explanation
Answer: B) 300, 200, 250
Explanation:
A's 5 days work = 50%
B's 5 days work = 33.33%
C's 2 days work = 16.66% [100- (50+33.33)]
Ratio of contribution of work of A, B and C = 50 : 33 1/3 : 16 2/3
= 3 : 2 : 1
A's total share = Rs. 1500
B's total share = Rs. 1000
C's total share = Rs. 500
A's one day's earning = Rs.300
B's one day's earning = Rs.200
C's one day's earning = Rs.250
Q6. f South-East becomes North, North-East becomes West and so on. What will West become?
A) North-East B) North-West
C) South-East D) South-West
Answer and Explanation
Answer:- C) South-East
Explanation:-
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It is clear from the diagrams that new name of West will become South-East.
Q7. A student has to obtain 33% of the total marks to pass. He got 125 marks and failed by 40 marks. The maximum marks are:
A) 500 B) 600
C) 800 D) 1000
Answer and Explanation
Answer:- A) 500
Explanation:-
Given that the student got 125 marks and still he failed by 40 marks
=> The minimum pass mark = 125 + 40 = 165
Given that minimum pass mark = 33% of the total mark
=> total mark = 33/100 = 165
=> total mark = 16500/33 = 500
Q8. 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) Four B) Three
C) Six D) Five
Answer and Explanation
Answer:- A) Four
Explanation:-
7 4 2
7 4 6
7 4 1
7 4 6
Only at these placees 4 is preceded by 7 but not followed by 3
Q9. Find the odd man out.
6, 9, 15, 21, 24, 28, 30
A) 28 B) 21
C) 24 D) 30
Answer and Explanation
Answer:- A) 28
Explanation:-
Each of the numbers except 28, is a multiple of 3.
Q10. Tea worth of Rs. 135 / kg & Rs. 126 / kg are mixed with a third variety in the ratio 1: 1: 2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg will be____ ?
A) Rs. 169.50 B) Rs. 1700
C) Rs. 175.50 D) Rs. 180
Answer:- C) Rs. 175.50
Explanation:
Since first second varieties are mixed in equal proportions, so their average price = Rs. (126 + 135) / 2 = Rs.130.50
So, Now the mixture is formed by mixing two varieties, one at Rs. 130.50 per kg and the other at say Rs. 'X' per kg in the ratio 2: 2, ie, 1: 1. We have to find 'x '.
Cost of 1 kg tea of 1st kind Cost of 1 kg tea of 2nd kind.
x-153 / 22.50 = 1 => x - 153 = 22.50 => x = 175.50.
Hence, price of the third variety = Rs. 175.50 per kg.
Q11. Two dice are tossed. The probability that the total score is a prime number is:
A) 5/12 B) 1/6
C) 1/2 D) 7/9
Answer and Explanation
Answer:- A) 5/12
Explanation:-
Clearly, n (S) = (6 x 6) = 36.
Let E = Event that the sum is a prime number.
Then E = {(1, 1), (1, 2), (1, 4), (1, 6), (2, 1), (2, 3), (2, 5), (3, 2 ), (3, 4), (4, 1), (4.3), (5, 2), (5, 6), (6, 1), (6, 5)}
n (E) = 15.
P (E) = n (E) / n (S) = 15/36 = 5/12.
A) Friday B) Saturday
C) Sunday D) Thursday
Answer and Explanation
Answer:- A) Friday
Explanation:-
15 Aug, 1947 = (1946 years + Period from 1.1.1947 to 15.8.1947)
Odd days in 1600 years = 0
Odd days in 300 years = 1
46 years = (35 ordinary years + 11 leap years) = (35 x 1 + 11 x 2)= 57 (8 weeks + 1 day) = 1 odd day
Jan. Feb. Mar. Apr. May. Jun. Jul. Aug
( 31 + 28 + 31 + 30 + 31 + 30 + 31 + 15 ) = 227 days = (32 weeks + 3 days) = 3 odd days.
Total number of odd days = (0 + 1 + 1 + 3) = 5 odd days.
Hence, as the number of odd days = 5 , given day is Friday.
Q2. Today is Monday. After 61 days, it will be :
A) Tuesday B) Monday
C) Sunday D) Saturday
Answer and Explanation
Answer:- D) Saturday
Explanation:-
Each day of the week is repeated after 7 days. So, after 63 days, it will be Monday.
After 61 days, it will be Saturday.
Q3. A and B invest in a business in the ratio 3 : 2. If 5% of the total profit goes to
charity and A's share is Rs. 855, the total profit is :
A) 500 B) 1000
C) 1500 D) 2000
Answer and Explanation
Answer: C) 1500
Explanation:
Let the total profit be Rs. 100.
After paying to charity, A's share = (95*3/5) = Rs. 57.
If A's share is Rs. 57, total profit = Rs. 100.
If A's share is Rs. 855, total profit = (100/57*855) = 1500.
Q4. If each side of a square is increased by 25%, find the percentage change in its area?
A) 65.25 B) 56.25
C) 65 D) 56
Answer & Explanation
Answer:- B) 56.25
Q5. A can do a piece of work in 10 days, B in 15 days. They work together for 5 days, the rest of the work is finished by C in two more days. If they get Rs. 3000 as wages for the whole work, what are the daily wages of A, B and C respectively (in Rs):
A) 200, 250, 300 B) 300, 200, 250
C) 200, 300, 400 D) None of these
Answer and Explanation
Answer: B) 300, 200, 250
Explanation:
A's 5 days work = 50%
B's 5 days work = 33.33%
C's 2 days work = 16.66% [100- (50+33.33)]
Ratio of contribution of work of A, B and C = 50 : 33 1/3 : 16 2/3
= 3 : 2 : 1
A's total share = Rs. 1500
B's total share = Rs. 1000
C's total share = Rs. 500
A's one day's earning = Rs.300
B's one day's earning = Rs.200
C's one day's earning = Rs.250
Q6. f South-East becomes North, North-East becomes West and so on. What will West become?
A) North-East B) North-West
C) South-East D) South-West
Answer and Explanation
Answer:- C) South-East
Explanation:-
It is clear from the diagrams that new name of West will become South-East.
Q7. A student has to obtain 33% of the total marks to pass. He got 125 marks and failed by 40 marks. The maximum marks are:
A) 500 B) 600
C) 800 D) 1000
Answer and Explanation
Answer:- A) 500
Explanation:-
Given that the student got 125 marks and still he failed by 40 marks
=> The minimum pass mark = 125 + 40 = 165
Given that minimum pass mark = 33% of the total mark
=> total mark = 33/100 = 165
=> total mark = 16500/33 = 500
Q8. 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) Four B) Three
C) Six D) Five
Answer and Explanation
Answer:- A) Four
Explanation:-
7 4 2
7 4 6
7 4 1
7 4 6
Only at these placees 4 is preceded by 7 but not followed by 3
Q9. Find the odd man out.
6, 9, 15, 21, 24, 28, 30
A) 28 B) 21
C) 24 D) 30
Answer and Explanation
Answer:- A) 28
Explanation:-
Each of the numbers except 28, is a multiple of 3.
Q10. Tea worth of Rs. 135 / kg & Rs. 126 / kg are mixed with a third variety in the ratio 1: 1: 2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg will be____ ?
A) Rs. 169.50 B) Rs. 1700
C) Rs. 175.50 D) Rs. 180
Answer:- C) Rs. 175.50
Explanation:
Since first second varieties are mixed in equal proportions, so their average price = Rs. (126 + 135) / 2 = Rs.130.50
So, Now the mixture is formed by mixing two varieties, one at Rs. 130.50 per kg and the other at say Rs. 'X' per kg in the ratio 2: 2, ie, 1: 1. We have to find 'x '.
Cost of 1 kg tea of 1st kind Cost of 1 kg tea of 2nd kind.
x-153 / 22.50 = 1 => x - 153 = 22.50 => x = 175.50.
Hence, price of the third variety = Rs. 175.50 per kg.
Q11. Two dice are tossed. The probability that the total score is a prime number is:
A) 5/12 B) 1/6
C) 1/2 D) 7/9
Answer and Explanation
Answer:- A) 5/12
Explanation:-
Clearly, n (S) = (6 x 6) = 36.
Let E = Event that the sum is a prime number.
Then E = {(1, 1), (1, 2), (1, 4), (1, 6), (2, 1), (2, 3), (2, 5), (3, 2 ), (3, 4), (4, 1), (4.3), (5, 2), (5, 6), (6, 1), (6, 5)}
n (E) = 15.
P (E) = n (E) / n (S) = 15/36 = 5/12.