Arithmetic Reasoning (SSC REASONING) Part-2

Total Questions: 50

11. The monthly income of three cricketers Ankit, Sanjay and Roshan, from different sources, are in the ratio of 12:9:7, and their expenditures are in the ratio 15:9: 8. If Ankit saves 25% of his income for future investments, what is the ratio of the savings of Ankit, Sanjay and Roshan?

Correct Answer: (a) 15: 18:11
Solution:According to the question
12x - 15y = 25% of 12x
12x - 15y = 3x, x: y = 5:3
Multiplying the ratio of income by 5 and
Expenditure by 3
Income = 60 : 45: 35 and
Expenditure = 45 : 27 : 24
Saving = Income - Expenditure
= 15:18:11

12. Two numbers A and B are such that the sum of 3% of A and 6% of B is 4/5 th of the sum of 4% of A and 6% of B.

Find the ratio of A + B and A - В.

Correct Answer: (b) 7:5
Solution:

13. The average age of 17 persons is 39 years. If the average age of the first 9 persons is 35 years, and the average age of the last 9 persons is 44 years, what is the age of the 9th person?

Correct Answer: (c) 48 years
Solution:Total age of the 17 persons is
= 17 x 39 = 663
Average age of first 9 person is
= 9 x 35 = 315
Average age of last 9 person is
= 9 x 44 = 396
Age of 9th person = 315 + 396-663 = 48

14. Three friends Aman, Ishan and Aneesh have 12, 16, and 3 apples, respectively. If Aman gives twice the number of apples that Aneesh has to Ishan and 4 apples to Aneesh, then how many apples are left with Aman?

Correct Answer: (c) 2
Solution:According to the question,
Aman = 12 apples, Ishan = 16 apple,
Aneesh = 3 apples
Aman gives to Ishan = 3 x 2 = 6 apples
Then Aman gives 4 apples to Aneesh = 4
So, Number of apples left to Aman
=12-6-4=2

15. Krishna gave 1/9 of his savings to his son, 3/4 of the remaining to his first daughter, and the rest to his second daughter. If the first daughter received ₹880 more than the second one, how much did the son get?

Correct Answer: (c) ₹220
Solution:Let, his saving = 36x
Krishna gave to his son= 4x
Left = 32x
First daughter = 32 × 3/4 = 24
Then to second daughter = 8x
ATQ 16x = 880,Then 4x = 220.

16. An online entrance exam was conducted in 250 centres all over the country. The average number of applicants per centre was found to be 1250. However, it was later realised that in one centre, the number of applicants was counted as 1758 instead of 1658. What was the correct average number of applicants per centre?

Correct Answer: (c) 1249.6
Solution:

17. Kritika had ₹21.450 with her. She spent 16% of this amount on conveyance. Then, she spent 50% of the remaining amount on ration. Then, she spent ₹991 on internet expenses. How many rupees are left with her now?

Correct Answer: (a) ₹8,018
Solution:After spending 16% on conveyance. She
had left 84% of the amount.
Now, She spends 50% of the remaining
amount on ration.
⇒ Remaining amount = 42% of ₹21,450
= ₹9,009
Then she spent ₹991 on the internet.
So, the final remaining amount
= ₹9009 - ₹991 = ₹8,018

18. A drum contains 40 litres of milk. One-fourth of the milk is taken out and replaced with water. Then, half of the mixture is taken out and replaced with water. What is the respective quantity of milk and water left in the drum?

Correct Answer: (a) 15 litres and 25 litres
Solution:Initially milk = 40
After first transaction milk = 30 and
water = 10, ratio = 3: 1
by Taking out half mixture = left mixture
20 and milk left = 15.
Water = 40 - 15 = 25 liter

19. A total of 1012 candies are to be distributed among Virat, Ketan and Rohan in the ratio of 6: 9:8, respectively. How many candies will Rohan get?

Correct Answer: (b) 352
Solution:Let the candies received by
Virat = 6x, Ketan = 9x and Rohan = 8x
According to Question
23x = 1012 and x = 44
Rohan candies = 8x = 8 x 44 = 352

20. 2 train tickets from Mohali to Delhi and 3 tickets from Mohali to Jammu cost ₹800. But 3 tickets from Mohali to Delhi and 2 tickets from Mohali to Jammu cost ₹700. What are the ticket prices for Delhi and Jammu, respectively, from Mohali?

Correct Answer: (a) ₹100, ₹200
Solution:Let ticket from Mohali to Delhi is x
And ticket from Mohali to Jammu is y
So, 2x + 3y = 800 and 3x + 2y = 700
On solving both the equation x = 100 and
y = 200.