
Q. To form a government, a party or an alliance should have at least two-third majority. In the assembly, the strength of the ruling and opposition alliances is in ratio of 16 : 7. Three parties ABC, FGH and TUY formed the ruling alliance, while the opposition consisted of DEF and XYZ. Initially, the ratio of assembly members from ABC, FGH and TUY was 3: 8: 5 and that of DEF and XYZ was 13: 8. After a major political controversy, all alliances broke and a new government was formed. Now the ruling party consisted of DEF, FGH and TUY and it had 30 MLAs more than what was required to form two-third of the total assembly strength. Find the strength of the assembly.
A. 335
B. 345
C. 355
D. 365
Q. A seller sells two diamonds of different sizes at different selling prices. The selling price of the larger diamond is more than the selling price of the smaller diamond. The seller makes 20% profit on selling the smaller diamond and 10% loss on selling the larger diamond. If he makes an overall loss of 1(9/11) % on selling the two diamonds. What is the ratio of the selling price of the larger diamond to the selling price of the smaller diamond?
A) 3:2 B) 2:1 C) 4:3 D) Data Insufficient
Q. A laboratory has a tank containing 50 gallons of 60% salt solution in water. On heating it, water starts evaporating. How much water should evaporate such that the resultant solution contains 75% salt?
1) 5 gallons
2) 8 gallons
3) 10 gallons
4) 12 gallons
5) 15 gallons
Q. A milkman mixed 4 litres of water with 10 litres of milk. He boiled one fourth of this mixture till the water content, in it, halved. Then he added it to remaining mixture. What is the proportion of milk in the entire solution?
A vessel having a capacity of 100 litrs contains a milk-water solution having 80% milk. The milkman asks his son to add a certain quantity of water to the vessel to reduce the concentration of milk to 60%. The son by mistake added the same quantity of pure milk to the vessel equal to the quantity of water he was asked to add. Realising his mistake he added twice the quantity of water he was asked to add initially. What was the final concentration of milk in the vessel?
Q. X and Y are running a race between points A and B. If both start from point A, X beats Y by 20 metres. If X starts 10m behind Y, who starts at point A, then X beats Y by 12m. What is the distance between points A and B (in metres)
A person walking down an escalator takes 26 steps and it takes him 30 seconds to reach the bottom. The same person while running takes 18 seconds and 34 steps to reach the bottom. How many visible steps are there on the escalator?
Q. 3 liters of a mixture of A & B is mixed with 15 liters of another mixture of A & B. Due to this the concentration of A in the second mixture decreases by 10 percentage points. What is the difference between the concentration percentage of B in both the mixtures?
Q. A sequence, (An), is defined recursively as A1 = 2 and A(n+1) = An + 2*n for all n ≥ 1. Find A100
Q. The sum of the reciprocal of the product of first three natural numbers, the reciprocal of the product of three consecutive natural numbers starting with 2, the reciprocal of the product of next three consecutive natural numbers starting with 3 and so on till the reciprocal of the product of (n -2)th, (n -1)th and nth natural numbers will be:
Three circles, each of radius 20 and centres at P, Q, R. further, AB = 5, CD = 10 and EF = 12. What is the perimeter of the triangle PQR?
(Note : Some parts are in Hindi. Please do not enrol if you have problem understanding Hindi).
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Who is this course for
If you’re preparing for CAT, you probably fall into one of these:
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(Note : Some parts are in Hindi. Please do not enrol if you have problem understanding Hindi).