Algebra-I
If 2x+3y=12 and x−y=1,
this is the value of x+y
5
A fruit seller buys 20 kg of apples at ₹40 per kg and sells them at ₹50 per kg. What is his total profit?
200
The sum of two numbers is 25 and their difference is 7. Find the numbers.
16 &9
What 3-digit number reads the same backward and forward? (Smallest such number greater than 100)
101
if f(x)= x4-6x3+16x2-25x+10 find f(-1)
58
A car travels 120 km on 8 liters of petrol. How many liters are needed to travel 300 km at the same rate?
20 Liters
A sum of money is divided among A, B, and C in the ratio 2 : 3 : 5. If C gets ₹1500, how much does B get?
A=600, B=900, C=1500
A farmer has chickens and cows in his barn. There are 22 heads and 56 legs in total. How many chickens and how many cows are there?
Chickens 16, Cows 6
Find k if 2x2+kx+8=0 has equal roots.
+8 or -8
A 15% discount on a jacket reduces its price to ₹2550. What was its original price?
3000
A number divided by 5 leaves remainder 2. If the number is doubled, what is the remainder when divided by 5?
4
A farmer has a square field of side 21 m. He wants to build a circular pond inside it touching all four sides. Find the Area of the largest such pond.
346.5 m2
The sum of three consecutive even integers is 84. Find the integers.
26
A water tank can be filled by a pipe in 6 hours and emptied by a leak in 9 hours. How long will it take to fill the tank if both are open?
18
The Sports Training:
In a sports training program, the distance covered by athletes increases by 100 meters every week. If they start with 500 meters in the first week, what distance will they cover in the 8th week?
1200
I am an Odd number. Take away one letter and I become even. what number am 1?
Seven
if one root of quadratic equation 6x2-x-k=0 is 2/3, then find the value of k
2
Invest ₹20,000 @ 5%; how much more @ 8% to earn ₹1800?
10000
The ages of a father and son add up to 55 years. Five years ago, the father was four times as old as the son. Find their present ages.
f-41, s-14
If a square and a circle have the same area and the square’s side is 8 cm, find the circle’s radius in Square root
154