Arithmetic Reasoning (SSC REASONING) Part-2

Total Questions: 50

21. There are three books coded as A, B and C. The price of book A is twice the price of book B and one-third the price of book C. If book C costs ₹84, then what are the costs of book A and book B, respectively?

Correct Answer: (d) ₹28 and ₹14
Solution:Ratio of price of A and B = 2: 1
Ratio of price of A and C = 1:3
Ratio of price of A: B:C = 2:1:6
If 6x = 84 ⇒ x = 14
2x = 28 and x = 14.
According to the question,
price = 28, 14 respectively

22. The sales boy of a washing machine store charges his customers 24% more than the cost price. If a customer paid 76,200 for a washing machine, then what was the cost price of the washing machine?

Correct Answer: (b) ₹5,000
Solution:The customer pays 24% more
than the cost price. So,
= 124% = 6200
Then (CP) 100% = 5000

23. A driver increases the speed of his vehicle by 5 km/h after every one hour. If the initial speed of the vehicle was 75 km/h, then what was the average speed of the vehicle in a journey of 4 hours?

Correct Answer: (a) 82.5 km/h
Solution:Drivers speed in 1st hour = 75 km/h
In 2nd hour = 80 km/h
In 3rd hour = 85 km/h
In 4th hour = 90 km/h
Hence, the average speed
= 75+80+85 +90/4 = 82.5 km/h

24. The District Transport Authority has started special bus services for college going students. One bus starts from village P. The number of girls in the bus is one-fourth of the number of boys. In village Q, 20 boys leave the bus at their college stop and ten girls enter the bus. Now the number of boys and girls is equal. How many students enter the bus in the beginning?

Correct Answer: (d) 50
Solution:Given that,
Girls: Boys = 1: 4 (in the bus)
According to the question,
x+ 10 =4x- 20 ⇒x = 10
So, Total number of students in the bus
in beginning = 5x = 50

25. A notebook costs ₹12 each. A pen costs 9 each. Tina spends ₹123 on a total of 11 pieces of these articles. How many notebooks did she purchase?

Correct Answer: (b) 8
Solution:Let Pen = P and Notebook = N
According to the question,
⇒ 12N + 9P = 123.....(i)
⇒ P+N = 11 .....(ii)
By solving both the equation, we get
⇒ P = 3 and N = 8
So, The number of notebooks (N) = 8

26. In a group of 72 workers, each worker participates in one more of three activities, i.e. Quiz, Mono-acting and Mimicry. 11 workers participate in Quiz only, 15 participate in Mono Acting only and 14 participate in Mimicry only. If 5 workers participate in all three activities, then how many workers participate in any two activities?

Correct Answer: (c) 27
Solution:Total workers = participating in only one
event + participating in two events only +
(participating in all three events)
72 = (11 + 14 + 15) +x+ (5) ⇒ x = 27

27. Vishal has a total of ₹4,100 in the denominations of 5, 10, 20 and 50 rupee notes. He has an equal number of 5 and 10 rupee notes. The number of 20 rupee notes is double the number of 5 rupee notes. The number of 50 rupee notes is thrice the number of 10 rupee notes. How many 5 rupee notes are there with Vishal?

Correct Answer: (d) 20
Solution:Let the number of ₹5 note = x
So. ₹10 note =x, ₹20 note = 2x,
₹50 note = 3x
Total denomination = 4100
4100 = 5x + 10x + 40x + 150x
4100 = 205x ⇒ x = 20
₹5 note = 20

28. The sum of the salaries of three persons, A, B and C, is ₹66,500. B's salary is half the salary of C. B's salary is 125% of A's salary. What is the salary of C?

Correct Answer: (d) ₹35,000
Solution:Salary of A+ B+ C = 66500
Ratio of salary of B: C=1:2
Ratio of salary of A: B= 4:5
Ratio of salary of A: B:C =4:5:10
19x = 66500, x = 3500
So, 10x = 35000

29. Train A, which runs at a speed of 90 km/h, starts from Station Y at 8 a.m. Train B, which runs at a speed of 120 km/h, starts from Station Y on the same route at 8:10 a.m.. If Train B catches up with Train A at 8:40 a.m. at Station Z, then what is the distance between Stations Y and Z?

Correct Answer: (c) 60 km
Solution:Time taken by Train A to reach
station Z = 40 min.
Distance between station Y and Z
= 90km/h x 40/60h = 60 km

30. Ranjan in his ODI Cricket career, scored 15 runs on an average in 10 matches. If he scored 14 runs on an average in the first 4 matches and 12 runs on an average in the last 4 matches, then find the average of the runs scored by him in the remaining 2 matches.

Correct Answer: (b) 23
Solution:Let the average score of the
remaining 2 matches A.
According to the question,
⇒14 x 4+ 12 x4 + 2A = 15 x 10
⇒ 104+ 2A = 150 ⇒ A = 23