Wednesday, 26 August 2015

AMCAT Quants All Questions List

Ques. A rectangular courtyard 3.78 meters long and 5.25 meters wide is to be paved exactly with square tiles ,all of the same size. What is the largest size of the tile which could be used for the purpose?
Op 1: 14 cm
Op 2: 21 cm
Op 3: 42 cm
Op 4: None of these
Op 5:
Correct Op : 2
Ques. The least perfect square which is divisible by 3, 4, 5, 6, 8 is:
Op 1: 900
Op 2: 1200
Op 3: 2500
Op 4: 3600
Op 5:
Correct Op : 4
Ques. What will be obtained if 8 is subtracted from the HCF of 168, 189, and 231?
Op 1: 15
Op 2: 10
Op 3: 21
Op 4: None of these
Op 5:
Correct Op : 4
Ques. The largest four digit number which is a multiple of 8, 10,12 and 15 is: Op 1: 120
Op 2: 9600
Op 3: 9840
Op 4: 9960
Op 5:
Correct Op : 4
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 = (x-1)/x
Op 4: y = x/(x-1)
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: a2-b2 = 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 x4y3z-2 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 3-1/2 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)x-1 = (a-b)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 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. Rajeev multiplies a number by 10, the log (to base 10) of this number will change in what way?
Op 1: Increase by 10
Op 2: Increase by 1
Op 3: Multiplied by 10
Op 4: None of these
Op 5:
Correct Op : 2
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 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
Ques. The unit's digit in the product (771 x 659 x 365) is Op 1: 1
Op 2: 2
Op 3: 4
Op 4: 6
Op 5:
Correct Op : 3
Ques. 1.52 * 0.02251/2 = ?
Op 1: 0.0375
Op 2: 0.3375
Op 3: 3.275
Op 4: 32.75
Op 5:
Correct Op : 2
Ques. If x1/2 / 4411/2 = 0.02, the value of x is: Op 1: 0.1764
Op 2: 1.764
Op 3: 1.64
Op 4: 2.64
Op 5:
Correct Op : 1
Ques. The value of 21/2 upto three places of decimal is Op 1: 1.41
Op 2: 1.412
Op 3: 1.413
Op 4: 1.414
Op 5:
Correct Op : 4
Ques. The value of (8-25- 8-26) is:
Op 1: 7 x 8-25
Op 2: 7 x 8-26
Op 3: 8 x 8-26
Op 4: None of these
Op 5:
Correct Op : 2
Ques. If 22n-1 = (1 / 8n-3) then the value of n is: Op 1: 3
Op 2: 2
Op 3: 0
Op 4: -2
Op 5:
Correct Op : 2
Ques. If 2x = 3y = 6-z, then (1/x + 1/y + 1/z) is equal to:
Op 1: 0
Op 2: 1
Op 3: 3/2
Op 4: -0.5
Op 5:
Correct Op : 1
Ques. What is the remainder when 1723 is divided by 16? Op 1: 0
Op 2: 1
Op 3: 2
Op 4: 3
Op 5:
Correct Op : 2
Ques. What will be the remainder when 1336 is divided by 2196? Op 1: 0
Op 2: 1
Op 3: 12
Op 4: 2195
Op 5:
Correct Op : 2
Ques. The roots of the equation 4x-3*2x+2+32=0 would include- Op 1: 2, 3
Op 2: 1, 2, 3
Op 3: 1, 2
Op 4: 4, 8
Op 5:
Correct Op : 1
Ques. If ax =b, by=c and cz =a, then the value of xyz is: Op 1: 0
Op 2: 1
Op 3: 2
Op 4: 3
Op 5:
Correct Op : 2

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