Consider the two curves in the x-y plane
y = x^3 + x^2 + 5 ;
y = x^2 + x + 5
Which of the following statements is true for -2 < x < 2?
a) The two curves intersect once
b) The two curves intersect twice
c) The two curves do not intersect
d) The two curves intersect thrice
A = {179, 180, 181, ..,360}. B is a subset of A such that sum of no two elements of B is divisible by 9. The number of elements in B cannot exceed ?
Instead of a metre scale, a cloth merchant uses a 120 cm scale while buying, but uses an 80 cm scale while selling the same cloth. If he offers a discount of 20 percent on cash payment, what is his overall percent profit?
- 15%
- 20%
- 25%
- 40%
0 voters
K1, K2, K3 K30 are thirty toffees. A child places these toffees on a circle, such that there are exactly n toffees placed between Ki and Ki + 1 (i = 1, 2, 3 29). No two toffees overlap each other on the circle.
If n = 12, which of the following two pairs of toffees are adjacently placed on the circle? pls solve this !
Please can someone solve the below question and include the explanation as well?
A swimmer jumps from a bridge over a canal and swims 1 km upstream. After that first kilometer, he passes a floating cork. He continues swimming for another half an hour and then turns around and swims back to the bridge. The swimmer and the cork arrive at the bridge at the same time. The swimmer has been swimming with constant speed. How fast does the water in the canal flow?
Sum of four distinct two-digit prime numbers is 348. What is the difference between the largest and smallest of these prime numbers?
The LCM of three positive integers X, Y and Z is 1192. Find the total number of ordered triplets (X, Y and Z).
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https://www.youtube.com/watch?v=xgpOfc6EYDQ
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Find the number of points with integer coordinates lying within the region bounded by x^2+ 2y^2= 36. (not lying on the boundary of the
region)
OA-79
I am looking for shorter approach...so please post your approach.
Sheela invests Rs.5000 for 3 years at 5℅ compound interest annually. Tax at the rate of 20℅on the interest is deducted at the end of each year. Find the amount at the end of 3 Rd year?
- 5624
- 6756
- 6787
- 6008
0 voters
If X and Y are even integers then how many solutions satisfy the condition X^2-Y^2=7389746232?
The length of each side of a triangle (in cm) is equal to a multiple of 6. Its perimeter is 66 cm.
Consider the following statements:
I. At least three distinct triangles exist, satisfying the given conditions.
II. At most four distinct triangles exist, satisfying the given conditions.
Which of the following can be concluded?
a)Only I is true.
b)Only II is true.c
)Both I and II are true.
d)Neither I nor II is true.
Approach please.
How many 6-digit numbers can be formed using the digits 4, 5, 6, 7, 8, 9 such that the hundreds digit, the tens digit and the units digit are in descending order?
In a class, 55% of the students like coffee and 45% of the students like tea. What percentage of the students like neither tea nor coffee?
2016 people standing in a circle in an order 1 to 2016. No.1 has a sword. He kills next person (i.e. no. 2) and gives sword to next to next (i.e no.3). All person does the same until only 1 survives. Which number survives at the last?
Frusteted with his constant low score in mathematics , Pradip tore off certain number of consecutive leaves from his book. Each leaf is numbered on either side and is considered to be two pages. If the sum of the page number which is tore off was 720 then how many pages did pradip tore off?
P is the product of first 30 multiples of 30. N is the total number of factors of P. In how many ways N can be written as the product of two natural numbers such that the HCF of these two natural numbers is 19? I know how to solve this using a long method! however a shortcut method was provided which said that the ans needs to be a multiple of 2! can anyone tell why pls!
N=3!+4!+5!+---------+64!
which of the following statement is true regarding N?
A) N is a perfetc square
B) N is a perfect cube
C) both A and B
D) neither A nor B