IBPS Clerk/RRB Mains 2016 - Practice Quantitative Aptitude Questions (Arithmetic) Set-60:
Dear Readers, Important Practice Aptitude Questions for IBPS Clerk/RRB Mains and Upcoming Exams was given here with Solutions. Aspirants those who are preparing for the examination can use this.
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1). There are two types of workers-category I and category II. Category I worker can finish a piece of work in 2m/3h and a category II worker can finish in 1m/h. If one worker of category I and two workers of category II are employed, then the work can be finished in how many hours?
a) 7 m/2h
b) 9 m/2h
c) 2 m/7h
d) 2 m/9h
e) None of these
2). A car driver travels from the plains to the hill station, which are 200 km a part at an average speed of 40 km/h. In the return trip he covers the same distance at an average speed of 20 km/h the car. What is the average speed of the car over the entire distance of 400 km ?
a) 16.56 km/h
b) 17.89 km/h
c) 26.66 km/h
d) 35 km/h
e) None of these
3). If Rs.1000 be invested at interest rate of 5% and the interest be added to the principal after 10 year, then how many years it will amount to Rs.2000?
a) 16 (2/3) year
b) 16 (¼) year
c) 16 year
d) 11 year
e) None of these
4). The ratio between the number of passengers travelling by Ist class and IInd class between the two railway stations is 1 : 50, whereas the ratio of Ist class and IInd class fares between the same stations is 3 : 1. If on a particular day, Rs. 1325 were collected from the passengers travelling between these stations, then what was the amount collected from the IInd class passengers ?
a) Rs. 750
b) Rs. 1000
c) Rs. 850
d) Rs. 1250
e) None of these
5). If the selling price of a product is increased by Rs. 162, then the business would make a profit of 17% instead of a loss of 19%. What is the cost price of the product ?
a) Rs. 540
b) Rs. 450
c) Rs. 360
d) Rs. 600
e) None of these
6). There are 6 positive and 8 negative numbers. Four numbers are chosen at random and multiplied. What is the probability that the product is a positive number?
a) 500/1001
b) 503/1001
c) 505/1001
d) 101/1001
e) None of these
7). Gatiman Express has a capacity of 500 seats of which 10% are in the Executive class and the rest being chair cars. During a journey, the train was booked to 85% of its capacity. If Executive class was booked to 96% of its capacity, then how many chair car seats were empty during that journey ?
e) None of these
8). Ram and Shyam started a partnership business investing some amount in the ratio of 3 : 5. Mohan joined them after six months with an amount equal to that of Shyam, then the proflt at the end of one year should be distributed in what proportion among Ram, Shyam and Mohan?
a) 6 : 10 : 5
b) 3 : 5 : 5
c) 3 : 5 : 2
d) Data inadequate
e) None of these.
9). A square and an equilateral triangle have the same perimeter. If the diagonal of the square is 12 √2cm, then what is the area of the triangle ?
a) 24 √3 cm2
b) 24 √2 cm2
c) 64 √3 cm2
d) 32 √3 cm2
e) None of these
10). A sum of Rs. 30600 is divided between P and Q, who are respectively 18 years and 19 years old, in such a way that if their shares are invested at 4% per annum compounded annually, then they shall receive the same amount on reaching 21 years of age. What is the share of Q ?
a) Rs. 16000
b) Rs. 15000
c) Rs. 15600
d) Rs. 14600
e) None of these
1). Let one worker of category I can finish the work in 2m/3 h.
Two workers of category II can finish the work in m/2 h
Answer: (C)
2). According to the question,
Average speed = 2xy/(x+y) where x and y are two different speeds covering same distance
:. Average speed = (2×40×20)/ (20+40)
= 26.66 km/h
Answer: (C)
3). According to question,
SI for 10 years = (1000×5×10)/100 = Rs. 500
Now, P = Rs.1500, A = Rs. 2000
:. SI = Rs.500
:. 500 = (1500×5×T) /100
àT= (500×100) / (1500×5)
= 6 (2/3) years
Total time = 10+6 (2/3) years
= 16 (2/3) years
Answer: (A)
4). Let the number of passengers travelling by Ist Class and IInd Class be x and 50x respectively. Then amount collected from Ist Class and IInd Class will be Rs. 3x and Rs. 50x respectively.
Given, 3x + 50x = 1325
:. 53x = 1325
:. Amount collected from IInd Class
= 50 × 25 = Rs.1250
Answer: (D)
5). According to question,
(17 + 19) = 36% of the cost price
100% of the cost price
= (162/36) ×100 = Rs. 450
Answer: (B)
6). According to question, the product of four numbers will be positive in the following ways.
Answer: (C)
7). Seats in executive class = 10% of 500 = 50 Seats in chair car = 500 – 50 = 450. Booking seats in total = 85% of 500 = 425. Booking in executive class = 96% of 50 = 48.
:. Booking in chair class = (425 – 48) = 377
Empty seats in chair class = 450 – 377 = 73
Answer: (B)
8). Let the amount invested by Ram and Shyam is 3x and 5x respectively and after 6 month Mohan joined amount equal to Shyam. Then, Ratio of Ram, Shyam and Mohan in profit
= 3x × 12 : 5x × 12 : 5x × 6 = 6 : 10 : 5
Answer: (A)
9). Let the side of the square be x.
Then, (√2x)2 = (12√2)2
Now, perimeter of equilateral triangle = 3x
= 12 × 3 = 36 cm
Side of equilateral triangle
= 36/3 = 12 cm
Area of equilateral triangle
=√3/4 × (12)2 = 36 √3 cm2
Answer: (E)
10). Let the share of Q be Rs. x.
:. Then, the share of P is Rs. (30600 – x).
Answer: (B)
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