A4S Doubts Engine

34 An empty cone of radius 3 cm and height 12 cm is filled with ice-cream such that the lower part
34 An empty cone of radius 3 cm and height 12 cm is filled with ice-cream such that the lower part
29Find the number of natural numbers between 101 and 999 which are divisible by both 2 and 5.
29Find the number of natural numbers between 101 and 999 which are divisible by both 2 and 5.
43In an AP if Sn = 4(4n + 1), then find the AP.
43In an AP if Sn = 4(4n + 1), then find the AP.
4. Angle between the lines 6 + x = 0 and 3 - y = 0 will be a. 0⁰ b.90° c. 180° d.60°
4. Angle between the lines 6 + x = 0 and 3 - y = 0 will be a. 0⁰ b.90° c. 180° d.60°
3.If the point (a, b) lies on X-axis and (c, d) lies on the line y = 2 then b2 + d2 = a. 4 b. 9c. 25
3.If the point (a, b) lies on X-axis and (c, d) lies on the line y = 2 then b2 + d2 = a. 4 b. 9c. 25
2.The distance between the graph of the equations y=1 and and y=4 isa. 2 b. 5 c. 1 d.3
2.The distance between the graph of the equations y=1 and and y=4 isa. 2 b. 5 c. 1 d.3
1.The sum of distances from x-axis and y-axis measured from the point (3,5) will be: a. -1 b. 0 c
1.The sum of distances from x-axis and y-axis measured from the point (3,5) will be: a. -1 b. 0 c
1. If sinθ + cosθ = √2, then tanθ + cot θ = (a) 1 (b) 2 (c) 3 (d) 4
1. If sinθ + cosθ = √2, then tanθ + cot θ = (a) 1 (b) 2 (c) 3 (d) 4
14 The famous mathematician associated with finding the sum of the first 100 natural numbers isa. Py
14 The famous mathematician associated with finding the sum of the first 100 natural numbers isa. Py
13 Which term of A.P 20, 19 1/4,18 1/2…….is first negative term ? 18th 15th 28th 27th
13 Which term of A.P 20, 19 1/4,18 1/2…….is first negative term ? 18th 15th 28th 27th
12 How many numbers between 10 to 300, when divided by 4, leave reminder 3 ?a) 71b) 72c) 73d) 74
12 How many numbers between 10 to 300, when divided by 4, leave reminder 3 ?a) 71b) 72c) 73d) 74
11The 7th term of an A.P is 5 times the first term and its 9th term exceeds twice the 4th term by 1
11The 7th term of an A.P is 5 times the first term and its 9th term exceeds twice the 4th term by 1
10 If the pth term of an A.P is q and the qth term is p, then the nth term is:a) p+q-nb) p+q+nc) p-
10 If the pth term of an A.P is q and the qth term is p, then the nth term is:a) p+q-nb) p+q+nc) p-
9 If (2+5+8+.…n terms )/(7+11+15+.…n terms ) = 23/35 then n value is : 17 15 18 23
9 If (2+5+8+.…n terms )/(7+11+15+.…n terms ) = 23/35 then n value is : 17 15 18 23
8. Sum of first n odd natural number is :a) n2b) n+1c) 2n+1d) N
8. Sum of first n odd natural number is :a) n2b) n+1c) 2n+1d) N
7 Sum of n terms of the series √(2 )+ √8+√18+√32+…..is : (n(n+1))/2 2n(n+1) (n(n+1))/(√2) 1
7 Sum of n terms of the series √(2 )+ √8+√18+√32+…..is : (n(n+1))/2 2n(n+1) (n(n+1))/(√2) 1
6. The first term of an A.P is 5 the last term is 45 and the sum is 400. The fourth term of an A.P
6. The first term of an A.P is 5 the last term is 45 and the sum is 400. The fourth term of an A.P
5 The total number of two digit number which are divisible by 3 will be :a) 30b) 31c) 32d) 33
5 The total number of two digit number which are divisible by 3 will be :a) 30b) 31c) 32d) 33
4. nth term of a list of number is given by an=(3+2n). Sum of first 24 terms will be :a)672b)670c57
4. nth term of a list of number is given by an=(3+2n). Sum of first 24 terms will be :a)672b)670c57
3 In an A.P, sum of first n terms is 〖3n〗^2/2+5n/2. Find its 25th term : 100 25 75 76
3 In an A.P, sum of first n terms is 〖3n〗^2/2+5n/2. Find its 25th term : 100 25 75 76
2. The first and last term of an arithmetic progression are 17 and 332 respectively and if common d
2. The first and last term of an arithmetic progression are 17 and 332 respectively and if common d
1. If 9,a,b,-6 are in Arithmetic Progression , then a+b=a. 1b. 5c. 15d. 3
1. If 9,a,b,-6 are in Arithmetic Progression , then a+b=a. 1b. 5c. 15d. 3
20 For xy1, let log_x⁡(x/y)+log_y⁡(y/x)=k, then the value of k can never be equal to(a) -1(b) -1/2(c
20 For xy1, let log_x⁡(x/y)+log_y⁡(y/x)=k, then the value of k can never be equal to(a) -1(b) -1/2(c
19 What is the number of solutions of log_4⁡(x-1)=log_2⁡(x-3) ?(a) Zero(b) One(c) Two(d) Three
19 What is the number of solutions of log_4⁡(x-1)=log_2⁡(x-3) ?(a) Zero(b) One(c) Two(d) Three
12 If x^(log_7⁡x)7 where x0, then which one of the following is correct?(a) x∈(0,∞)(b) x∈(1/7,7)(c
12 If x^(log_7⁡x)7 where x0, then which one of the following is correct?(a) x∈(0,∞)(b) x∈(1/7,7)(c
11 If (0.2)^x=2 and log_10⁡2=0.3010, then what is the value of x to the nearest tenth?(a) -10.0(b) -
11 If (0.2)^x=2 and log_10⁡2=0.3010, then what is the value of x to the nearest tenth?(a) -10.0(b) -
9 What is the value of log_7⁡log_7⁡√(7√(7√7) ) equal to?(a) 3log_2⁡7(b) 13log_2⁡7(c) 1-3log_7⁡2(d)
9 What is the value of log_7⁡log_7⁡√(7√(7√7) ) equal to?(a) 3log_2⁡7(b) 13log_2⁡7(c) 1-3log_7⁡2(d)
5 If n=(2017)!, then what is 1/(log_2⁡n)+1/(log_3⁡n)+1/(log_4⁡n)++1/(log_2017⁡n) equal to?(a) 0(b) 1
5 If n=(2017)!, then what is 1/(log_2⁡n)+1/(log_3⁡n)+1/(log_4⁡n)++1/(log_2017⁡n) equal to?(a) 0(b) 1
3 If log_a⁡(ab)=x, then what is log_b⁡(ab) equal to?(a) 1/x(b) x/(x+1)(c) x/(1-x)(d) x/(x-1)
3 If log_a⁡(ab)=x, then what is log_b⁡(ab) equal to?(a) 1/x(b) x/(x+1)(c) x/(1-x)(d) x/(x-1)
2 If log_8⁡m+log_8⁡1/6=2/3, then m is equal to(a) 24(b) 18(c) 12(d) 4
2 If log_8⁡m+log_8⁡1/6=2/3, then m is equal to(a) 24(b) 18(c) 12(d) 4