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DIRECTIONS: In the given question two expressions numbered I and II are given. You have to solve both the expressions and give answer:
I. (729)−3 ÷ (6561)−4
II. 81 × (3)10
DIRECTIONS: What approximate value should come in place of question mark (?) in the following questions? (You are not expected to calculate the exact value)
11.89 × 12.14 ÷ 3.97 – 47.06 + 1.91 = ?
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DIRECTIONS: What will come in place of question mark (?) in the following number series?
219, 223, 232, 248,?
4, 8, 32, 512, ?
DIRECTIONS: Two equations are given in each question. Find the value of x and y and answer as
I. 3x2 – 17x + 24 = 0
II. 2y2 + 11y + 14 = 0
Hence, x > y.
I. 7x2 – 47x – 14 = 0
II. 3y2 – 16y – 12 = 0
Hence, x > y and x < y both are possible.
Hence, relation can't be established between x and y.
A vessel of 80 liter is filled with milk and water. 70% of milk and 30% of water are taken out of the vessel. It is found that the vessel is empty by 55%. Find the initial quantity of milk and water.
Here the % values of milk and water that is taken from the vessel should be taken into consideration.
By selling 20 metres of cloth, a man gains the selling price of 4 metres of cloth. The gain percent is:
% profit = 4/16 × 100 = 25%
Alternate Solution:
SP of 20m – CP of 20m = Gain = SP of 4m
Therefore, SP of (20-4=16 m)=CP of 20m
Let CP of each meter be Rs.1 then CP of 16m = Rs.16
SP of 16m = Rs.20
So, Gain% =(4/16)*100=25%
Mr. More spent 20% of his monthly income on food and 15% on children’s education, 40% of the remaining he spent on entertainment and transport together and 30% on medical. He is left with an amount of ₹8775 after all these expenditures. What is Mr. More’s monthly income?
Let the monthly income of Mr. More be=100x
Remaining income after the expenditure on food and children education=65x
A T Q,
65x-65x (40+30)%=8775
19.5x =8775
=45,000
At present. Pia is 6 year older to Ray. The respective ratio between the present ages of Pia and Mini is 3 : 4. At present, Ray is 14 year younger to Mini. What is Ray’s present age?
18 years
Let Ray's present age is x years
Then, Pia’s age =(x+6)yr
Mini’s present age = x + 14
Hence, Ray’s present age is 18 yr.
Correct (-)
Wrong (-)
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