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A sum of Rs. 10,000 amounts to Rs. 12,100 in 2 years at simple interest. Rate of interest per annum is:

10%
12%
11%
9%

Number System & Arithmetic

Simple interest on Rs. 5000 at 12% per annum for 3 years is:

1800
1500
2000
1750

Number System & Arithmetic

If 5 apples cost Rs. 60, then 8 apples cost:

90
96
100
80

Number System & Arithmetic

20% of 150 is:

25
30
35
40

Number System & Arithmetic

0.625 as a fraction is:

8-May
5-Mar
25/40
3-Feb

Number System & Arithmetic

If 3/4 of a number is 48, then the number is:

64
60
72
80

Number System & Arithmetic

LCM of 12, 18, 24 is:

72
144
216
48

Number System & Arithmetic

HCF of 180, 216, 270 is:

18
36
54
72

Number System & Arithmetic

Rate of change of y = x² + 3x +1 at x = 4:

11
12
10
13

Calculus (Basic)

∫x e^x dx = ?

x e^x – e^x + C
e^x + C
x² e^x
x e^x + C

Calculus (Basic)

∫(1/(x+2)) dx = ?

ln
x+2
+ C
1/(x+2)

Calculus (Basic)

∫(cos 3x) dx = ?

sin 3x /3 + C
cos 3x + C
-sin 3x + C
-cos 3x /3 + C

Calculus (Basic)

Minima of f(x) = x² + 4x + 4 occurs at x = ?

-2
2
-1
1

Calculus (Basic)

Maxima of f(x) = -2x² + 8x – 5 occurs at x = ?

2
1
3
4

Calculus (Basic)

If y = x³ – 6x² + 9x + 1, stationary points at x = ?

1, 3
2, 3
1, 2
0, 3

Calculus (Basic)

If f(x) = 3x² – 12x + 5, maximum occurs at x = ?

2
1
3
4

Calculus (Basic)

∫(1/√x) dx = ?

2√x + C
√x + C
x + C
1/(2√x)

Calculus (Basic)

∫(x⁴ – x² +1) dx = ?

x⁵/5 – x³/3 + x + C
x⁵/5 – x² +1
x⁴ – x² +1
x⁵ – x³ + x

Calculus (Basic)

If y = ln(x² +1), dy/dx = ?

2x/(x² +1)
1/x
ln(x)
x²

Calculus (Basic)

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