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A builder borrows ₹2550 to be paid back with compound interest at the rate of 4% per annum by the end of 2 years in two equal installments. How much will each installment be?
Let each installment be ₹x
The average of 44 consecutive odd numbers is 144.What is the largest number?
Let the numbers be (a, a+2, ………………. , a+86)
Avg of 44 numbers = 144
Largest number = 101+86 = 187
If A, B and C together do a job in 4 days, A and C together do the job in 4.5 days and B and C together do the job in 12 days then in how many days can C alone do the job?
Let the total work be 36 units.
=> (A+B+C) can do 9 units/day ................(i)
(A+C) can do 8 units/day ....................(ii) and
(B+C) can do 3 units/day .............(iii)
From (i), (ii) and (iii) ,
we get B do 1 unit/day and C do 2 units/day.
So, C alone will do the work in time = (36/2)=18 days.
If [√(a2 + b2 + ab)] + [√(a2 + b2 – ab)] = 1, then what is the value of (1 – a2)(1 – b2)?
What is the value of [cos (90 + A)÷sec (270 – A)] + [sin (270 + A)÷cosec (630 – A)]?
Directions For Questions
Directions: The histogram given below shows the number of families of a locality having various incomes as obtained by a survey. Observe the graph and answer the questions based on it.
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How many families have been surveyed in total?
Number of families = 15 + 10 + 40 + 5 + 20 + 30 + 15 + 10 + 40 + 15
= 200
The number of families, whose daily incomes are Rs. 800 or above is:
Number of families (income ≥ 800)
= 40 + 15+10 = 65
The number of families, whose daily incomes are below Rs. 200, is
Number of families (income < 200) = 15
The number of families, whose daily incomes are between Rs 500 and Rs 800 is:
Number of families = (30 + 15 ) = 45
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