2 distinct nos a and b are chosen from the set of first 30 natural nos...what is the probability that a^2-b^2 is divisible by 3?
hey puys, I observed that there are some e books containing more than 18k questions.. Can someone please provide me that link?
what is the minimum value of x^4-x^2+1
a)1/4 b)3/4 c)4/3 d)4
A certain city has a circular wall around it, and this wall has four gates pointing towards north, south, east and west. A house stands outside the city, 3 km north of the north gate, and it can just be seen from a point 9 km east of the south gate. What is the diameter of the wall that surrounds the city?
6 9 12 15If a, b, c and d are all different natural numbers from 10 to 15, then what is the smallest value of (a + b)(c + d)?
Each of the 20 persons setting in a row is assigned a number from 1 to 20 corresponding to his seating position counting from left to right. Every time, a count is made on the seats, every person sitting on a seat corresponding to a prime number is removed and the seat numbers are rearranged beginning with one. This procedure is repeated until only 3 persons are left. What is the original seat number of the person sitting on the seat number 3?
πQ1.
1) Through a point on the hypotenuse of a right triangle, lines are drawn parallel to the legs of the triangle so that the triangle is divided into a square and two smaller right triangles. The area of one of the two small right triangles istimes the area of the square. The ratio of the area of the other small right triangle to the area of the square is
1. 1/2m+1
2. m
3. m-1
4. 1/2m
5. 1/8m^2
Q. 2
2) Call a 7-digit telephone number d1,d2......d7 MEMORABLE if the prefix sequence d1d2d3 is exactly the same as either of the sequences d4d5d6 or d5d6d7 (possibly both). Assuming that each can be any of the ten decimal digits 0,1,2,...9, the number of different memorable telephone numbers is
(A) 19810 (B) 19910 (C) 20000 (D) 20010 (E) 20100
Q3.
3) Consider the triangular array of numbers with 0,1,2,3, ... along the sides and interior numbers obtained by adding the two adjacent numbers in the previous row. Rows 1 through 5 are shown.
0
1 1
2 2 2
3 4 4 3
4 7 8 7 4
5 11 15 15 11 5
Let f(n) denote the sum of the numbers in row. What is the remainder when f(100)is divided by 100?
a. 12 (b) 30 (c) 50 (d) 54 (e) 62
Q.4
A shopkeeper sells 3 eggs per rupee. He noted that if he sells 4 eggs per rupee, his rate of sales get double i.e. during the same amount of time his sale in later case would be of twice the amount of the sale in former case. If he further increases an egg a rupee, his rate of sales gets double. Let x, y, z be the number of hours during which he sells 3, 4 and 5 eggs per rupee respectively.30) If his profit in all the three cases remain same, then which among the following holds true?
(A) 2/y = 1/x + 2/z (B) 2/y = 2/x + 1/z (C) 4/y = 1/x + 4/z (D) 4/y = 4/x + 1/z (E) 4/y = 1/x + 1/y31)
Q.5 During the same amount of time, his profits when he sells the egg at 3 or 4 per rupee will be same if he buys per rupee
(A) 5 eggs (B) 6 eggs (C) 12 eggs (D) 15 eggs (E) 18 eggs
Q. 6
If the baser 8 representation of a perfect square is ab3c, where a is not equal to 0, then c equals
a. 0
b. 1
c. 3
d. 4
e. infinitely many
Q.7
A group of students are asked to take atleast one subjects from Physics, Chemistry, and Mathematics for their courses.26) The number of students taking exclusively one subject is 50 while the number of students taking exclusively two subjects is 30. The number of students taking physics, chemistry, and mathematics is 45, 44, and 48 respectively. The number of students taking all subjects is
(A) 9 (B) 10 (C) 11 (D) 13 (E) 1527)
Q.8 The number of students taking physics, chemistry and mathematics is 42, 45 and 49 respectively while the number of students taking physics or chemistry is 65, that taking chemistry or mathematics is 70 and that taking physics or mathematics is 72. What is the number of students not taking all 3 subjects?
(A) 71 (B) 77 (C) 58 (D) 66 (E) can not be determined
ANSWERS WILL BE POSTED TOMORROW
find the remainder of: 48^46 mod 49^2?
3 numbers are such that the second is as much less than the third as the first is lesser than the second .if the product of two smaller numbers is 85 and that of two larger numbers is 115 ...find middle number
Find 28383 term of the series 12345678910111213141516........plz provide xplanation
48^45 mod 35 remainder...?
The figure (attached as word document) below shows the plan of a town. The streets are at right angles to each other. A rectangular park (P) is situated inside the town with a diagonal road running through it. There is also a prohibited region (D) in the town.
5. Neelam rides her bicycle from her house at A to her office at B, taking the shortest path. Then the number of possible shortest paths that she can choose is
(1) 60 (2) 75 (3) 45 (4) 90 (5) 72
ο»Ώ
ο»ΏClocks A, B and C strikes every hour. B slows down and takes 2 min longer than A per hour while C becomes faster and takes 2 min less than A per hour. If they strike together at 12 midnight, when will they strike together again?
A) 10 AM
B)11 AM
C)9 PM
D)8 PM
A tank can be filled in by an inlet pipe of circular cross section in 10 min. Another tank twice as big is filled in by 3 inlet pipes whose diameters are in the ratio 1 : 2 : 3 . If the smallest pipe of these is four times as much in cross section as the pipe of the first tank, find the time taken to fill the second tank. [Speed of water in the second tank is half the speed of the water in the first tank]
1. 5/6 min
2. 6/5 min
3. 5/7 min
4. 5/3 minπ
Q5
PS is a median of triangle PQR such that PSQ=45' and PQR = SPR. Find the value of QPS?
(a) 95 (b) 100 (c) 105 (d) None of these
β¬βΉThe sum of two numbers is 15 and their geometric mean is 20% lower than their arithmetic mean . Find numbers?
If M lies between (-7) and 13, then find the greatest value of (13-M)^7(M+7)^5
- 2^1013^37^7
- 13^7*7^3
- 3^1013^37^7
- 3^10*2^14
- 2^103^37^7
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how can i take admission in mass communication
π
Which is different from other three responses?
- 6243
- 4867
- 2643
- 8465
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