Direction: In the following questions two equations numbered I and II are given. You have to solve both the equations and find relation between x and y.
I. x2+ 14x + 48 = 0
II. y2+ 12y + 32 =0
(A) x ≥ y
(B) x > y
(C) Relationships cannot be established between x and y
(D) x ≤ y
(E) y > x
The income of Aman is Rs. 30,000 per month and his expenditure is Rs. 20,000 per month. In the next month, his income increases by Rs. 10,000 per month, and expenditure increases to Rs. 25,000 per month. In the next month, his savings increases by what percent?
(A) 55%
(B) 25%
(C) 100%
(D) 12.5%
(E) None of these
In a class, there are certain numbers of students. Their average age is 12 years. If two students leave the class, their ages are 23 years and 25 years respectively. Then the average age of the class becomes 11 years. Find the number of students in the class.
(A) 25
(B) 28
(C) 30
(D) 26
(E) 35
A shopkeeper purchased two types of wheat costing Rs. 220 per kg and Rs. 300 per kg. In what ratio should he mix the wheat so that he could sell the mixture at the rate of Rs. 360 per kg in order to earn the profit of 25%?
(A) 4 : 15
(B) 2 : 17
(C) 4 : 17
(D) 3 : 16
(E) 3 : 17
The speed of train A and train B is 93 km/hr and 51 km/hr, respectively. When both the trains are running in the opposite direction, they cross each other in 18 seconds. The length of train B is half of the length of train A. If train A crosses a bridge in 42 seconds, then find the length of the bridge.
(A) 610 m
(B) 480 m
(C) 605 m
(D) 240 m
(E) 485 m
A alone can complete a work in 25 days and B alone can do the same work in 20 days. A started the work and after working 7 days B joined A to finish the remaining work. In how many days, the total work will be finished?
(A) 8 days
(B) 15 days
(C) 9 days
(D) 12 days
(E) None of these
Ramiya got married 8 years ago. Her present age is 6/5 times her age at the time of her marriage. Ramiya’s brother was 10 years younger than her at the time of her marriage. What is the ratio of Ramiya’s present age and her brother’s age at the time of her marriage?
(A) 2 : 7
(B) 7 : 9
(C) 4 : 7
(D) 8 : 5
(E) None of the above
Kamal saves x% of her monthly income. When her monthly expenditure is increased by 20% and the monthly income is increased by 26%, then her monthly savings increased by 60%. What is the value of x?
(A) 12
(B) 15
(C) 18
(D) 16
(E) 22
Two trains of lengths 100 m and 140 m respectively are running in opposite directions on parallel tracks. If their speed is 29 km/hour and 43 km/hour respectively. In what time will they cross each other?
(A) 14seconds
(B) 10 seconds
(C) 20 seconds
(D) 16 seconds
(E) 12 seconds
A mixture contains milk and water in the ratio of 7 : 8. If 10 litres water and 5 litres milk is added in the mixture then the ratio of water and milk becomes 3 : 2. Find the initial quantity in the mixture?
(A) 30 litres
(B) 45 litres
(C) 60 litres
(D) 15 litres
(E) 32 litres
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