गणित (भाग-IV)

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Question 1 / 60
QUESTION 91
How many spherical bullets can be made out of solid cube of lead whose edge measures 44 cm, each bullet being 4 cm in diameter?
A
1500
B
2541
C
1161
D
2270
QUESTION 92
P, Q and R together can complete a work in 30 days. If the ratio of efficiency of P, Q and R is 20 : 15 : 12 respectively, then in how many days R can alone complete the same work?
A
195
B
235
C
225
D
215
QUESTION 93
The radius and slant height of a cone are in the ratio of 4 : 7. If its curved surface area is 702 cm², what is its radius?
A
2.6 cm
B
6 cm
C
11 cm
D
12 cm
QUESTION 94
The factors of x³ - 7x + 6 are:
A
x(x - 6)(x - 1)
B
(x² - 6)(x - 1)
C
(x + 1)(x + 2)(x - 3)
D
(x - 1)(x + 3)(x - 2)
QUESTION 95
The measure of the angle between the coordinate axes is:
A
0°
B
90°
C
180°
D
360°
QUESTION 96
If the mean of 6, 4, 7, P and 10 is 8, what is the value of P?
A
11
B
12
C
13
D
14
QUESTION 97
If (x - 3) is a factor of x² - ax - 15, then a = ?
A
-2
B
5
C
-5
D
3
QUESTION 98
What is the median of the following data? 25, 34, 31, 23, 22, 26, 35, 28, 20, 32
A
22
B
27
C
25
D
20
QUESTION 99
(1 - 1/5)(1 - 1/6)(1 - 1/7)...(1 - 1/100) is equal to:
A
0
B
1/125
C
1/25
D
1/50
QUESTION 100
The area of the base of a right circular cylinder is 154 cm² and its height is 15 cm. What is the volume of the cylinder?
A
2310 cm³
B
5720 cm³
C
1780 cm³
D
3803 cm³
QUESTION 101
If the mean of the following data is 15, find the value of P: 10, 12, 14, P, 18, 20
A
14
B
15
C
16
D
17
QUESTION 102
The sum of three numbers is 98. If the ratio of the first to the second is 2 : 3 and that of the second to the third is 5 : 8, then the second number is:
A
20
B
30
C
40
D
50
QUESTION 103
A man sold an article at a loss of 20%. If he had sold it for Rs. 60 more, he would have gained 10%. The cost price of the article is:
A
Rs. 200
B
Rs. 250
C
Rs. 300
D
Rs. 350
QUESTION 104
A train 150 m long passes a pole in 15 seconds. The speed of the train is:
A
36 km/hr
B
40 km/hr
C
45 km/hr
D
50 km/hr
QUESTION 105
The difference between compound interest and simple interest on a certain sum for 2 years at 10% per annum is Rs. 25. The sum is:
A
Rs. 2000
B
Rs. 2500
C
Rs. 3000
D
Rs. 3500
QUESTION 106
If sin θ = 3/5, then the value of cos θ is:
A
3/4
B
4/5
C
5/4
D
2/5
QUESTION 107
The value of 2 tan 45° + cos 60° - sin 30° is:
A
0
B
1
C
2
D
3
QUESTION 108
If the volume of a sphere is 36π cm³, then its radius is:
A
2 cm
B
3 cm
C
4 cm
D
6 cm
QUESTION 109
The diagonal of a square is 10√2 cm. Its area is:
A
50 cm²
B
100 cm²
C
150 cm²
D
200 cm²
QUESTION 110
The value of (x + y)² - (x - y)² is:
A
2xy
B
4xy
C
x² + y²
D
x² - y²
QUESTION 111
If a + b = 7 and ab = 12, then a² + b² is:
A
25
B
49
C
37
D
24
QUESTION 112
The sum of first 10 natural numbers is:
A
45
B
50
C
55
D
60
QUESTION 113
If the perimeter of a circle is equal to that of a square, then the ratio of their areas is:
A
22 : 7
B
14 : 11
C
11 : 14
D
7 : 22
QUESTION 114
The value of 0.333... in the form of p/q is:
A
1/3
B
1/2
C
2/3
D
3/4
QUESTION 115
If 2x + 3y = 12 and 3x + 2y = 13, then x - y is:
A
1
B
-1
C
2
D
-2
QUESTION 116
The HCF of 48 and 64 is:
A
8
B
12
C
16
D
24
QUESTION 117
The LCM of 12, 15 and 20 is:
A
30
B
45
C
60
D
75
QUESTION 118
If the sum of two numbers is 25 and their difference is 5, then the numbers are:
A
10 and 15
B
12 and 13
C
8 and 17
D
5 and 20
QUESTION 119
A number is increased by 20% and then decreased by 20%. The net change is:
A
4% increase
B
4% decrease
C
0%
D
2% decrease
QUESTION 120
The area of a triangle with base 12 cm and height 8 cm is:
A
48 cm²
B
96 cm²
C
24 cm²
D
36 cm²
QUESTION 121
The value of 5 - [2 - {3 - (4 - 5)}] is:
A
5
B
6
C
7
D
8
QUESTION 122
If the cost price of 10 articles is equal to the selling price of 8 articles, the gain percent is:
A
20%
B
25%
C
30%
D
40%
QUESTION 123
The simple interest on Rs. 5000 at 8% per annum for 3 years is:
A
Rs. 1000
B
Rs. 1200
C
Rs. 1500
D
Rs. 1800
QUESTION 124
The angle in a semicircle is:
A
60°
B
90°
C
120°
D
180°
QUESTION 125
The value of 3√8 + 2√18 is:
A
6√2
B
12√2
C
15√2
D
18√2
QUESTION 126
If a : b = 2 : 3 and b : c = 4 : 5, then a : c is:
A
8 : 15
B
15 : 8
C
6 : 20
D
20 : 6
QUESTION 127
The least number which when divided by 12, 15 and 18 leaves remainder 5 in each case is:
A
185
B
180
C
175
D
190
QUESTION 128
If 5 men can do a piece of work in 10 days, then 10 men can do the same work in:
A
2 days
B
5 days
C
10 days
D
20 days
QUESTION 129
The value of 2⁵ × 2⁷ ÷ 2⁸ is:
A
2⁴
B
2⁵
C
2⁶
D
2⁷
QUESTION 130
The area of a circle with diameter 14 cm is:
A
154 cm²
B
44 cm²
C
88 cm²
D
616 cm²
QUESTION 131
The probability of getting a head in a single toss of a coin is:
A
0
B
1/4
C
1/2
D
1
QUESTION 132
The value of (x² - y²) ÷ (x - y) is:
A
x + y
B
x - y
C
x² + y²
D
x² - y²
QUESTION 133
If the radius of a cylinder is doubled and height is halved, the volume becomes:
A
2 times
B
4 times
C
half
D
same
QUESTION 134
The mean of first 5 odd natural numbers is:
A
3
B
5
C
7
D
9
QUESTION 135
If 20% of a number is 50, then the number is:
A
100
B
200
C
250
D
300
QUESTION 136
The value of (5 + √5)(5 - √5) is:
A
20
B
25
C
30
D
35
QUESTION 137
The volume of a cube of side 5 cm is:
A
25 cm³
B
75 cm³
C
100 cm³
D
125 cm³
QUESTION 138
The value of (x - 1/x)² is equal to:
A
x² + 1/x² + 2
B
x² + 1/x² - 2
C
x² - 1/x² + 2
D
x² - 1/x² - 2
QUESTION 139
If the sum of the digits of a two-digit number is 9 and the number formed by reversing the digits is 9 less than the original number, then the original number is:
A
54
B
63
C
72
D
81
QUESTION 140
The perimeter of a square is 40 cm. Its area is:
A
100 cm²
B
400 cm²
C
160 cm²
D
80 cm²
QUESTION 141
The value of sin² 30° + cos² 60° is:
A
0
B
1/2
C
1
D
3/2
QUESTION 142
If the selling price of an article is Rs. 800 and the loss is 20%, then the cost price is:
A
Rs. 960
B
Rs. 1000
C
Rs. 1040
D
Rs. 1200
QUESTION 143
The value of 15% of 200 is:
A
15
B
20
C
25
D
30
QUESTION 144
If 3x - 5 = 7, then x is:
A
2
B
3
C
4
D
5
QUESTION 145
The number of diagonals in a pentagon is:
A
2
B
3
C
4
D
5
QUESTION 146
The value of 0.2 × 0.2 × 0.2 is:
A
0.008
B
0.08
C
0.8
D
8
QUESTION 147
The next term in the sequence 2, 6, 12, 20, ... is:
A
28
B
30
C
32
D
36
QUESTION 148
The value of 10 ÷ 2 × 5 is:
A
1
B
4
C
10
D
25
QUESTION 149
Which of the following fractions are in ascending order?
A
7/9, 8/11, 11/14, 13/15
B
9/11, 7/8, 14/15, 13/13
C
8/7, 9/11, 13/11, 14/15
D
7/8, 11/9, 11/13, 15/14
QUESTION 150
If expression x + 8√x + a² is a perfect square, then what is the value of 'a'?
A
± 18
B
± 8
C
± 5
D
± 4