S=sq. rt(1)+sq. rt.(2)+sq. rt.(3)+sq. rt.(4)+....+sq. rt.(399)=????????????????????????
Find the sum of areas of regular polygons having four, five, six and eight number of sides. These polygons are inscribed in a circle of radius 10 units (given sin 72 degree= 0.951)
980.39 sq unit
832.45 sq unit
766.35 sq unit
600 sq unit
C & D are points on the circle with diameter AB such that Angle AQB = 2 Angle COD, where O is the center of the circle. Q is the pt of intersection of AC and DB inside the circle. The tangents at C & D meet at P. The circle has radius 1. The distance of P from Center is ?
1) Sqrt(2)/3
2) 2/sqrt(3)
3) 3/sqrt(2)
4) 1
Approach pls €‹
A number when divided by N leaves a remainder of 8. When one-third of the number is divided by N, it leaves a remainder 31. What is the least such number greater than 1000?
Select one:
a. 1020
b. 1027
c. 1028
d. 1113
e. None of the above
Directions for Questions 26 to 29: Answer the following questions based on the information given below:
A health-drink company's R&D; department is trying to make various diet formulations, which can be used
for certain specific purposes. It is considering a choice of 5 alternative ingredients (O, P, Q, R, and S),
which can be used in different proportions in the formulations. The table below gives the composition of
these ingredients. The cost per unit of each of these ingredients is O: 150, P: 50. Q: 200, R: 500, S: 100.
Composition
Ingredient
Carbohydrate% Protein% Fat% Minerals%
O 50 30 10 10
P 80 20 0 0
Q 10 30 50 10
R 5 50 40 5
S 45 50 0 5
26. For a recuperating patient, the doctor recommended a diet containing 10% minerals and at least
30% protein. In how many different ways can we prepare this diet by mixing at least two ingredients?
(1) One (2) Two (3) Three (4) Four (5) None
27. Which among the following is the formulation having the lowest cost per unit for a diet having 10% fat
and at least 30% protein? (The diet has to be formed by mixing two ingredients).
(1) P and Q (2) P and S (3) P and R (4) Q and S (5) R and S
28. In what proportion P, Q and S should be mixed to make a diet having at least 60% carbohydrate at
the lowest cost per unit?
(1) 2:1:3 (2) 4:1:2 (3) 2:1:4 (4) 3:1:2 (5) 4:1:1
29. The company is planning to launch a balanced diet required for growth needs of adolescent children.
This diet must contain at least 30% each of carbohydrate and protein, no more than 25% fat and at
least 5% minerals. Which one of the following combinations of equally mixed ingredients is feasible?
(1) O and P (2) R and S (3) P and S
(4) Q and R (5) O and S
How many ordered pairs of integers (x,y) satisfy xy=220
. The equation x + 8y + 8z = N has 666 positive integral solutions. Find the maximum
possible value of N
A ) 404
B ) 297
C ) 303
D ) No such N exists
THERE IS A SET OF N ELEMENTS, NO. OF WAYS IN WHICH 2 NON EMPTY DISJOINT SETS CAN BE MADE?
The sum of three positive numbers x, y and z is 1. Find the minimum value of x^2 + y^2 + z^2
A ) 1/3
B ) 1/4
C ) 1
D ) 1/2
Plz share approach...
Which of the following numbers is a prime number?
A ) 60^101 + 101^60
B ) 71^29 + 29^71
C ) 100! + 99! + 98! + 97
D ) None of the above
@tina-jain @Ankurk14 @jp_1991 is question ko please dekiye
What are the number of positive integral solutions for 11x + 5y = 185
If x^4 + ax^3 + 86x^2 - 176x + b is divisible by x^2 - 8x + 15, find the value of a + b
A ) 89
B ) 121
C ) -89
D ) -121
Find the coefficient of x^301 in (1+x)^500+x^2(1+x)^499+x^3(1+x)498+...+x^500.😠
The number of pairs of positive integers (a, b) where a and b are prime numbers
and a^2 - 2b^2 = 1, is
(a) 0 (b) 1 (c) 2 (d) 8
@Ankurk14 chalo bhai time to sleep now it was a productive night solving so many questions cya everyone in morning
N = 22 × 33× 52 × 102. If 'k' is a whole number, then how many factors of N are of the form 2k + 1?
If the letters of the word NONAGON are written in alphabetical order what will be the rank of the original word nonagon ?
OA -266
Kindly solve and explain
A lump of two metals weighting 18 gms. Is worth Rs. 87 but if their weights be interchanged , it would be worth Rs. 78.60. if the price of one metal be Rs. 6.70 per gm.,find the weight of the other metal in the mixture
in1932 ,ramu found that his age is exactly equal to thr 2 digit number formed by last two digit of his year a=of birth.similarly ,his grandfather found that in 1932 ,his age was also equal to the two digit number formed by last two digits of his year of birth . what is the sum of the ages of ramu and his grandfather in 1947?
a)78
b)64
c)82
d)112
approach?