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Expected Ques

Basic Mathematics

6  8 Questions
 
Applied Mathematics

8  10 Questions
 
Engineering Mathematics

8  10 Questions

Ques. If logx (0.1) = 1/3, then the value of x is:
Op 1: 10
Op 2: 100
Op 3: 1000
Op 4: 1/1000
Op 5:
Correct Op : 3
Ques. If ax = by, then:
Op 1: log(a/b) = x/y
Op 2: log(a) / log(b) = x/y
Op 3: log(a) / log(b) = y/x
Op 4: None of these
Op 5:
Correct Op : 3
Ques. If log8 x + log8 (1/6) = 1/3 then the value of x is:
Op 1: 12
Op 2: 16
Op 3: 18
Op 4: 24
Op 5:
Correct Op : 1
Ques. If log x + log y = log (x + y), then:
Op 1: x = y
Op 2: xy=1
Op 3: y = (x1)/x
Op 4: y = x/(x1)
Op 5:
Correct Op : 4
Ques. If log10 7 = a, then log10(1/70) is equal to:
Op 1: (1 + a)
Op 2: (1 + a)1
Op 3: a/10
Op 4: 1/10a
Op 5:
Correct Op : 1
Ques. If log{(a+b)/3} = 0.5(log a + log b), then the correct relation between a and b is:
Op 1: a2+b2 = 7ab
Op 2: a2b2 = 7ab
Op 3: (a+b)2 = 2
Op 4: (a+b)/3 = (1/2)(a+b)
Op 5: None of these
Correct Op : 1
Ques. If log x = log 3 + 2 log 2 (3/4) log 16. The value of x is:
Op 1: 1/2
Op 2: 1
Op 3: 3/2
Op 4: 2
Op 5: None of these
Correct Op : 3
Ques. If log x =(1/2) log y = (1/5) log z, the value of x4y3z2 is:
Op 1: 0
Op 2: 1
Op 3: 2
Op 4: 3
Op 5: None of these
Correct Op : 2
Ques. If log10000 x = 1/4, then x is given by:
Op 1: 1/100
Op 2: 1/10
Op 3: 1/20
Op 4: none of these
Op 5:
Correct Op : 2
Ques. The value of 31/2 log3(9) is:
Op 1: 3
Op 2: 1/3
Op 3: 2/3
Op 4: none of these
Op 5:
Correct Op : 2
Ques. loge xy  loge x equals to:
Op 1: loge x
Op 2: loge x
Op 3:  loge x
Op 4: none of these
Op 5:
Correct Op : 4
Ques. The value of (loga n) / (logab n) is given by:
Op 1: 1 + loga b
Op 2: 1 + logb a
Op 3: loga b
Op 4: logb a
Op 5:
Correct Op : 1
Ques. If (a4  2a2b2 + b4)x1 = (ab)2x (a+b)2, then x equals to:
Op 1: (a  b) / (a + b)
Op 2: log (a2  b2)
Op 3: log (a + b) / log (a  b)
Op 4: log (a  b) / log (a + b)
Op 5:
Correct Op : 4
Ques. If a, b, and c are in geometric progression then loga n, logb n and logc n are in:
Op 1: AP
Op 2: GP
Op 3: HP
Op 4: None of these
Op 5:
Correct Op : 3
Ques. What is the value of antilog10100?
Op 1: 2
Op 2: 10100
Op 3: 100
Op 4: 10
Op 5:
Correct Op : 2
Ques. If antilog x 5 = 30, what can you infer about x?
Op 1: x is a number between 1 and 2
Op 2: x is 305
Op 3: x is a number between 2 and 3
Op 4: None of these
Op 5:
Correct Op : 1
Ques. Every time x is increased by a given constant number, y doubles and z becomes three times. How
will log(y) and log(z) behave as x is increased by the same constant number?
Op 1: Both will grow linearly with different slopes
Op 2: Both will grow linearly with same slopes
Op 3: y will grow linearly, while z will not
Op 4: z will grow linearly, while y will not
Op 5:
Correct Op : 1
Ques. x triples every second. How will log2x change every second?
Op 1: It will double every second
Op 2: It will triple every second
Op 3: It increases by a constant amount every second.
Op 4: None of these
Op 5:
Correct Op : 3
Ques. f(x) grows exponentially with x, how will f(log(x)) grow?
Op 1: Exponentially
Op 2: Linearly
Op 3: Quadratically
Op 4: None of these
Op 5:
Correct Op : 2
Ques. What is the value of log512 8?
Op 1: 3
Op 2: 1/3
Op 3: 3
Op 4: 1/3
Op 5:
Correct Op : 2
Ques. What is the value of log7 (1/49)?
Op 1: 2
Op 2: 1/2
Op 3: 1/2
Op 4: 2
Op 5:
Correct Op : 4
Ques. Given that log64 x = 2/6, what is the value of x?
Op 1: 2
Op 2: 4
Op 3: 6
Op 4: 8
Op 5:
Correct Op : 2
Ques. If 7x = 85, what is the value of x?
Op 1: log785
Op 2: log857
Op 3: log107
Op 4: log1085
Op 5:
Correct Op : 1
Ques. If log102 = 0.3010, what is the number of digits in 264
Op 1: 19
Op 2: 20
Op 3: 18
Op 4: None of these
Op 5:
Correct Op : 2
Ques. What is log110?
Op 1: 1
Op 2: 10
Op 3: 0
Op 4: Tends to infinity
Op 5:
Correct Op : 4
Ques. What is log100 ?
Op 1: 0
Op 2: 10
Op 3: 1
Op 4: Not defined
Op 5:
Correct Op : 4
Ques. What is the value of log3 (9)?
Op 1: 3
Op 2: 1/3
Op 3: 3
Op 4: Not defined
Op 5:
Correct Op : 4
Ques. The logarithm of a very small positive number will tend to which of the following?
Op 1: 0
Op 2: negative infinity
Op 3: positive infinity
Op 4: 1
Op 5:
Correct Op : 2
Ques. If n numbers are in geometric progression, the logarithm of the number will be in which of the
following?
Op 1: Geometric Progression
Op 2: Arithmetic Progression
Op 3: Harmonic Progression
Op 4: None of these
Op 5:
Correct Op : 2
Ques. Which of the following is equivalent to log(a + b) ?
Op 1: log a + log b
Op 2: log a * log b
Op 3: log a  log b
Op 4: None of these
Op 5:
Correct Op : 4
Ques. What is the value of log3 (1/9) + log 9 81 ?
Op 1: 2
Op 2: 2
Op 3: 0
Op 4: 4
Op 5:
Correct Op : 3
Ques. What is the value of log3 1.5 + log3 6 ?
Op 1: 2
Op 2: 2.7
Op 3: 1.8
Op 4: None of these
Op 5:
Correct Op : 1
Ques. Which of the following is log8 x equivalent to?
Op 1: log2 (x/3)
Op 2: log2 (3x)
Op 3: (log2x)/ 3
Op 4: None of these
Op 5:
Correct Op : 3
Ques. If n numbers are in arithmetic progression, the logarithm of the number will be in which of the
following?
Op 1: Exponentially
Op 2: Linearly
Op 3: Quadratically
Op 4: None of these
Op 5:
Correct Op : 4
Ques. What is the value of log20 1 ?
Op 1: 0
Op 2: 1
Op 3: 20
Op 4: None of these
Op 5:
Correct Op : 1
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