Direction (1-5): The following questions contain two equations as I and II. You have to solve both the questions and determine the relationship between them and give answers as,
A) x > y
B) x = y
C) x < y
D) x = y
E) x = y or the relation cannot establish.
1. Question
I) x2 - 10x - 24 = 0
II) y2 + 16y - 36 = 0
2. Question
I) x - (256)1/4 = 0
II) y 2 + (125) 1/3 = 21
3. Question
I) x 2 - 5x -14 = 0
II) y 2 + 9y + 20 = 0
4. Question
I) 10x 2 - 3x - 1 = 0
II) y 2 + 5y = - 6
5. Question
I) x 2 + 17x + 42 = 0
II) 2y 2 - 15y + 22 = 0
Directions (6 -10): What number should come in the place of (?) in the following number series?
6. Question
5, 30, 150, 600, ?
7. Question
104, ?, 96, 120, 88, 128
8. Question
15, 8, 9, 15, 32, ?
9. Question
26, 63, 124, 215, ?
10. Question
200, 197, 185, 163, ?
11. Question
A clerk can able to typing at a certain speed. He increases his typing by 10% per hour in the first two hours, decreases by 10% in the next one hour, remains constant in the next one hour, and again increases by 5% per hour in the next two hours. If the total original typing is 40000, find the approximate word typing at the end of 6 hours.
12. Question
Seven years ago, the age of Amit and the present age of Bala is in the ratio of 3:4. After eight years, the age of Amit and Bala will be in the ratio of 3:2. Find the present age of Bala?
13. Question
A boy is written a set of three numbers in his notebook, the average of the first two numbers is 8, the average of the last two numbers is 9 and the average of the first and last numbers is 10. Find the average of three numbers?
14. Question
A man is rowing a boat. He is moving a certain distance downstream with thrice speed than upstream. Find out the ratio of the speed of the boat in still water to the speed of the current.
15. Question
A biker took 30 seconds less time to cross a circular ground along its diameter than to cover it along its boundary. If his speed is 36 km/hr, what is the circumference of the circle?
Direction (16-20):Read the given information carefully and answer the questions given below.
Three shopkeepers A, B & C sell burgers (veg + non-veg) in Week I. Veg & Non-veg burger sold by A are in the ratio 9:7, veg and non-veg burgers sold by B are in the ratio 3:4. Total burgers sold by C is 108, out of which veg & non-veg burgers of C are in the ratio 7:5. Total burgers sold by A, B & C together is 376. Veg burger sold by A is 20% more than the veg burger sold by B.
16. Question
Find the ratio between the veg burger sold by A and C.
17. Question
Find the sum of non-veg burgers sold by all the shopkeepers.
18. Question
The veg burger sold in B is what percentage of non-veg burgers sold in B?
19. Question
Find the average veg burger sold in A and B.
20. Question
Find the ratio between the burger sold in B to the veg burger sold in C.
Directions (21-24):Read the following tables carefully and answer the questions that are given below.
A number of contestants ( in lakh ) participating in a fashion designing show from six different cities named P, Q, R, S, T, and U. The successful and unsuccessful contestants ratio of the contestants are given below.
21. Question:
The number of contestants participating in the fashion designing show from city R is what percent of the number of contestants participating in the show from city Q? (Approximate value.)
22. Question
What is the respective ratio of the numbers of contestants unsuccessful in the show from city S to those unsuccessful in the show from city P?
23. Question
The number of contestants qualifying the exam from city U is what percent of the total number of contestants participating from all the cities together? (Approximate value.)
24. Question
What is the number of unsuccessful contestants in city S?
25. Question
A trader invests a sum of money in a scheme that offers 4% interest per annum with an increase of 0.5% per annum each year. If he received Rs. 9880 as interest at the end of 4 years, then find the money invested by the trader.
26. Question:
Price of a packet of biscuits Rs. 750 is offered at an 8% discount and the price of a packet of chocolate Rs. 1250 is offered at a 20% discount. If a man buys 5 packets of biscuits and 3 packets of chocolate, then what percentage effective discount does the man get?
27. Question:
A vessel is full of 80 litres of fruit juice. 1/10 of total fruit juice is taken out and replaced by water. Again, the same amount of mixture was taken out and replaced by water. Find the amount of fruit juice in the final mixture so formed.
28. Question
A train crosses a platform of length 400 meters in 15 sec and the same train crosses a pole in 10 sec. Find the time taken by the same train to cross a bridge of length 200 meters?
29. Question
Amal and Bimal started a business in partnership. Amal invests certain money for one year and after 6 months, Bimal invests Rs. 4000 more than the investment of Amal. The ratio of annual total profit and Amals profit is 7:3. Find the investment of Amal.
30. Question
Kapil and Vimal started work and will get money according to their efficiency. A certain amount is the wages for 28 days of Kapils work and it is equal to the wages of Vipuls 21 days of work. That same amount is sufficient to pay the wages of both for how many days?
Directions ( 31 - 35):
There were four different banks named A, B, C, and D. These four banks opened a certain number of accounts in three years 2016, 2017, and 2018. The following graph shows the account opening in four different banks A, B, C, D over the year.
31. Question
The percentage increase in account opening by bank B from 2016 to 2017 is about
32. Question
Account opening by bank B in 2017 and by bank D in 2018 together is what percent of account opening by bank A in 2016?
33. Question
Which one of the four banks has recorded the maximum percentage increase in account opening from 2017 to 2018?
34.Question
Which bank has recorded the maximum percentage increase in account opening from 2016 to 2017?
35. Question
Find the ratio between the average account opening by four banks in 2017 and average account opening by four banks in 2016 is
