Which number will come next? 64, 32, 16, 8,
(a) 0
(b) 1
(c) 2
(d) 4
View Answer(d) 4
Which number will come next? 2, 4, 7, 11, 16,
Which number will come next? 2, 4, 7, 11, 16,
(a) 18
(b) 20
(c) 22
(d) 25
View Answer(c) 22
Which number will come next? 0, 1, 8, 27, 64,
Which number will come next? 0, 1, 8, 27, 64,
(a) 122
(b) 125
(c) 128
(d) 256
View Answer(b) 125
Which number will come next? 20, 32 45, 59, 74,
Which number will come next? 20, 32 45, 59, 74,
(a) 95
(b) 90
(c) 85
(d) 79
View Answer(b) 90
If the height of a pole is 2√3 angle of elevation of the sun.
If the height of a pole is 2√3 meters and the length of its shadow is 2 meters, find the angle of elevation of the sun.
A. 50°
B. 60°
C. 70°
D. 80°
B. 60°
Let AB be the pole and AC be its shadow. Let the angle of elevation, ∠ACB = θ. Then, AB = 2√3m, AC = 2 m. tan θ = AB/AC = 2√3/2 = √3 θ = 60°. So, the angle of elevation is 60°
The angle of elevation of the sun
The angle of elevation of the sun, when the length of the shadow of a tree is √3 times the height of the tree, is:________?
A. 30°
B. 45°
C. 60°
D. 90°
A. 30°
Let AB be the tree and AC be its shadow.
Let ∠ACB = θ.
Then, AC/AB = √3
Cot θ = √3
θ = 30°
the distance of point P from the foot of the building is:_________?
From point P on level ground, the elevation angle of a tower’s top is 30°. If the tower is 100 m high, the distance of point P from the foot of the building is:_________?
A. 149 m
B. 156 m
C. 173 m
D. 200 m
C. 173 m
Let AB be the tower. Then, ∠APB = 30° and AB = 100 m, AB/AP = tan 30° = 1/√3 AP = (AB X √3)= 100√3 m. = (100 X 1.73) m = 173 m.
interest on a sum of Rs. 25,000 after 3 years at 12%?
What will be the compound interest on a sum of Rs. 25,000 after 3 years at 12% p.a.?
A. Rs. 9000.30
B. Rs. 9720
C. Rs. 10123.20
D. Rs. 10483.20
C. Rs. 10123.20
Amount = [25000 * (1 + 12/100)3]
= 25000 * 28/25 * 28/25 * 28/25 = Rs. 35123.20
C.I. = (35123.20 – 25000) = Rs. 10123.20
How much will it become at the end of 3 years?
A man saves Rs. 200 at the end of each year and lends the money at 5% compound interest. How much will it become at the end of 3 years?
A. Rs. 565.25
B. Rs. 635
C. Rs. 662.02
D. Rs. 666.50
C. Rs. 662.02
Amount = [200(1 + 5/100)3 + 200(1 + 5/100)2 + 200(1 + 5/100)]
= [200 * 21/20(21/20 * 21/20 + 21/20 + 1)] = Rs. 662.02
Hafeez invested Rs. 15000 at 10% per annum for one year.
Hafeez invested Rs. 15000 at 10% per annum for one year. If the interest is compounded half-yearly, then the amount received by Hafeez at the end of the year will be?
A. Rs. 16,500
B. Rs. 16,525.50
C. Rs. 16,537.50
D. Rs. 18,150
C. Rs. 16,537.50
P = Rs. 15000; R = 10% p.a. = 5% per half-year; T = 1 year = 2 half-year
Amount = [15000 * (1 + 5/100)2] = (15000 * 21/20 * 21/20) = Rs. 16537.50
A cricketer has a certain average for 10 innings
A cricketer has a certain average for 10 innings. In the eleventh inning, he scored 108 runs, thereby increasing his average by 6 runs. His new average is_____________?
A. 48 runs
B. 52 runs
C. 55 runs
D. 60 runs
A. 48 runs
Let the average for 10 innings be x. Then,
(10x + 108)/11 = x + 6
= 11x + 66 = 10x + 108
= x = 42.
New average = (x + 6) = 48 runs
The average age of a husband, wife, and their child 3 years ago
The average age of a husband, wife, and their child 3 years ago was 27 years and that of a wife and the child 5 years ago was 20 years. The present age of the husband is___________?
A. 35 years
B. 30 years
C. 40 years
D. None of these
C. 40 years
27×3+3×3=90 husband, wife and child
20×2+5×2=50 wide n child
Hsbnd age= 90-50
= 40 yrs