Ques 51 : Choose the correct answer. | ||||
If antilog x 5 = 30, what can you infer about x? | ||||
Option 1 : x is a number between 1 and 2 | Option 2 : x is 305 | Option 3 : x is a number between 2 and 3 | Option 4 : None of these | |
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Ques 52 : Choose the correct answer. | ||||
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? | ||||
Option 1 : Both will grow linearly with different slopes | Option 2 : Both will grow linearly with same slopes | Option 3 : y will grow linearly, while z will not | Option 4 : z will grow linearly, while y will not | |
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Ques 53 : Choose the correct answer. | ||||
x triples every second. How will log2x change every second? | ||||
Option 1 : It will double every second | Option 2 : It will triple every second | Option 3 : It increases by a constant amount every second. | Option 4 : None of these | |
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Ques 54 : Choose the correct answer. | ||||
f(x) grows exponentially with x, how will f(log(x)) grow? | ||||
Option 1 : Exponentially | Option 2 : Linearly | Option 3 : Quadratically | Option 4 : None of these | |
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Ques 55 : Choose the correct answer. | ||||
What is the value of log512 8? | ||||
Option 1 : 3 | Option 2 : 1/3 | Option 3 : -3 | Option 4 : -1/3 | |
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Ques 56 : Choose the correct answer. | ||||
What is the value of log7 (1/49)? | ||||
Option 1 : 2 | Option 2 : 1/2 | Option 3 : -1/2 | Option 4 : -2 | |
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Ques 57 : Choose the correct answer. | ||||
Given that log64 x = 2/6, what is the value of x? | ||||
Option 1 : 2 | Option 2 : 4 | Option 3 : 6 | Option 4 : 8 | |
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Ques 58 : Choose the correct answer. | ||||
If 7x = 85, what is the value of x? | ||||
Option 1 : log785 | Option 2 : log857 | Option 3 : log107 | Option 4 : log1085 | |
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Ques 59 : Choose the correct answer. | ||||
If log102 = 0.3010, what is the number of digits in 264 | ||||
Option 1 : 19 | Option 2 : 20 | Option 3 : 18 | Option 4 : None of these | |
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Ques 60 : Choose the correct answer. | ||||
What is log110? | ||||
Option 1 : 1 | Option 2 : 10 | Option 3 : 0 | Option 4 : Tends to infinity | |
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Ques 61 : Choose the correct answer. | ||||
What is log100 ? | ||||
Option 1 : 0 | Option 2 : 10 | Option 3 : 1 | Option 4 : Not defined | |
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Ques 62 : Choose the correct answer. | ||||
What is the value of log3 (-9)? | ||||
Option 1 : 3 | Option 2 : 1/3 | Option 3 : -3 | Option 4 : Not defined | |
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Ques 63 : Choose the correct answer. | ||||
Rajeev multiplies a number by 10, the log (to base 10) of this number will change in what way? | ||||
Option 1 : Increase by 10 | Option 2 : Increase by 1 | Option 3 : Multiplied by 10 | Option 4 : None of these | |
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Ques 64 : Choose the correct answer. | ||||
The logarithm of a very small positive number will tend to which of the following? | ||||
Option 1 : 0 | Option 2 : negative infinity | Option 3 : positive infinity | Option 4 : 1 | |
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Ques 65 : Choose the correct answer. | ||||
If n numbers are in geometric progression, the logarithm of the number will be in which of the following? | ||||
Option 1 : Geometric Progression | Option 2 : Arithmetic Progression | Option 3 : Harmonic Progression | Option 4 : None of these | |
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Ques 66 : Choose the correct answer. | ||||
Which of the following is equivalent to log(a + b) ? | ||||
Option 1 : log a + log b | Option 2 : log a * log b | Option 3 : log a – log b | Option 4 : None of these | |
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Ques 67 : Choose the correct answer. | ||||
What is the value of log3 (1/9) + log 9 81 ? | ||||
Option 1 : 2 | Option 2 : -2 | Option 3 : 0 | Option 4 : 4 | |
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Ques 68 : Choose the correct answer. | ||||
What is the value of log3 1.5 + log3 6 ? | ||||
Option 1 : 2 | Option 2 : 2.7 | Option 3 : 1.8 | Option 4 : None of these | |
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Ques 69 : Choose the correct answer. | ||||
Which of the following is log8 x equivalent to? | ||||
Option 1 : log2 (x/3) | Option 2 : log2 (3x) | Option 3 : (log2x)/ 3 | Option 4 : None of these | |
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Ques 70 : Choose the correct answer. | ||||
If n numbers are in arithmetic progression, the logarithm of the number will be in which of the following? | ||||
Option 1 : Exponentially | Option 2 : Linearly | Option 3 : Quadratically | Option 4 : None of these | |
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Ques 71 : Choose the correct answer. | ||||
What is the value of log20 1 ? | ||||
Option 1 : 0 | Option 2 : 1 | Option 3 : 20 | Option 4 : None of these | |
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Ques 72 : Choose the correct answer. | ||||
The unit’s digit in the product (771 x 659 x 365) is | ||||
Option 1 : 1 | Option 2 : 2 | Option 3 : 4 | Option 4 : 6 | |
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Ques 73 : Choose the correct answer. | ||||
1.52 * 0.02251/2 = ? | ||||
Option 1 : 0.0375 | Option 2 : 0.3375 | Option 3 : 3.275 | Option 4 : 32.75 | |
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Ques 74 : Choose the correct answer. | ||||
If x1/2 / 4411/2 = 0.02, the value of x is: | ||||
Option 1 : 0.1764 | Option 2 : 1.764 | Option 3 : 1.64 | Option 4 : 2.64 | |
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Ques 75 : Choose the correct answer. | ||||
The value of 21/2 upto three places of decimal is | ||||
Option 1 : 1.41 | Option 2 : 1.412 | Option 3 : 1.413 | Option 4 : 1.414 | |
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Ques 76 : Choose the correct answer. | ||||
The value of (8-25– 8-26) is: | ||||
Option 1 : 7 x 8-25 | Option 2 : 7 x 8-26 | Option 3 : 8 x 8-26 | Option 4 : None of these | |
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Ques 77 : Choose the correct answer. | ||||
If 22n-1 = (1 / 8n-3) then the value of n is: | ||||
Option 1 : 3 | Option 2 : 2 | Option 3 : 0 | Option 4 : -2 | |
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Ques 78 : Choose the correct answer. | ||||
If 2x = 3y = 6-z, then (1/x + 1/y + 1/z) is equal to: |
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Option 1 : 0 | Option 2 : 1 | Option 3 : 3/2 | Option 4 : -0.5 | |
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Ques 79 : Choose the correct answer. | ||||
What is the remainder when 1723 is divided by 16? | ||||
Option 1 : 0 | Option 2 : 1 | Option 3 : 2 | Option 4 : 3 | |
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Ques 80 : Choose the correct answer. | ||||
What will be the remainder when 1336 is divided by 2196? | ||||
Option 1 : 0 | Option 2 : 1 | Option 3 : 12 | Option 4 : 2195 | |
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Ques 81 : Choose the correct answer. | ||||
The roots of the equation 4x-3*2x+2+32=0 would include- | ||||
Option 1 : 2, 3 | Option 2 : 1, 2, 3 | Option 3 : 1, 2 | Option 4 : 4, 8 | |
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Ques 82 : Choose the correct answer. | ||||
If ax =b, by=c and cz =a, then the value of xyz is: | ||||
Option 1 : 0 | Option 2 : 1 | Option 3 : 2 | Option 4 : 3 | |
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Ques 83 : Choose the correct answer. | ||||
If x = 1+21/2 and y=1-21/2, then x2+y2 is – | ||||
Option 1 : 2 | Option 2 : 3 | Option 3 : 6 | Option 4 : 0 | |
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Ques 84 : Choose the correct answer. | ||||
If 4x+3 = 2x+7, then the value of x is: | ||||
Option 1 : 3 | Option 2 : 2 | Option 3 : 1 | Option 4 : None of these | |
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Ques 85 : Choose the correct answer. | ||||
2x+y = 2*(2)1/2 and 2x-y = 21/2,the value of x is: | ||||
Option 1 : 1 | Option 2 : 2 | Option 3 : 3 | Option 4 : 4 | Option 5 : None of these |
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Ques 86 : Choose the correct answer. | ||||
If x = 8, y = 27, the value of (x4/3+y2/3)1/2 is: | ||||
Option 1 : 5 | Option 2 : 6 | Option 3 : 7 | Option 4 : 8 | Option 5 : None of these |
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Ques 87 : Choose the correct answer. | ||||
If xy = yx and x = 2y, the value of y is: | ||||
Option 1 : 1 | Option 2 : 2 | Option 3 : 3 | Option 4 : 4 | Option 5 : None of these |
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||||
Ques 88 : Choose the correct answer. | ||||
If 2x * 3y = 18 and 22x * 3y= 36, the value of x is: | ||||
Option 1 : 0 | Option 2 : 1 | Option 3 : 2 | Option 4 : 3 | Option 5 : None of these |
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||||
Ques 89 : Choose the correct answer. | ||||
What is the value of 500 ? | ||||
Option 1 : 0 | Option 2 : 1 | Option 3 : 50 | Option 4 : None of these | |
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Ques 90 : Choose the correct answer. | ||||
What is the value of 6-2 ? | ||||
Option 1 : 1/36 | Option 2 : 36 | Option 3 : -36 | Option 4 : None of these | |
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Ques 91 : Choose the correct answer. | ||||
What is the value of 0-10 ? | ||||
Option 1 : 0 | Option 2 : 1 | Option 3 : -10 | Option 4 : None of these | |
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||||
Ques 92 : Choose the correct answer. | ||||
What is the value of 251.5 ? | ||||
Option 1 : 325 | Option 2 : 32.5 | Option 3 : 125 | Option 4 : None of these | |
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||||
Ques 93 : Choose the correct answer. | ||||
What is the value of (0.027)1/3? | ||||
Option 1 : 0.3 | Option 2 : 0.03 | Option 3 : 0.003 | Option 4 : None of these | |
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||||
Ques 94 : Choose the correct answer. | ||||
What is the value of (0.016)1/4? | ||||
Option 1 : 0.2 | Option 2 : 0.02 | Option 3 : 0.002 | Option 4 : None of these | |
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||||
Ques 95 : Choose the correct answer. | ||||
Walking 6/7th of his usual speed, a man is 12 minutes too late. The usual time taken by him to cover that distance is: | ||||
Option 1 : 1 hour | Option 2 : 1 hr 12min | Option 3 : 1 hr 15 min | Option 4 : 1 hr 20 min | |
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Ques 96 : Choose the correct answer. | ||||
A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of the water current respectively ? | ||||
Option 1 : 2 : 1 | Option 2 : 3 : 2 | Option 3 : 8 : 3 | Option 4 : Cannot be determined | Option 5 : None of these |
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||||
Ques 97 : Choose the correct answer. | ||||
In a 100 m race, A can beat B by 25 m and B can beat C by 4 m. In the same race, A can beat C by: | ||||
Option 1 : 21 m | Option 2 : 26 m | Option 3 : 28 m | Option 4 : 29 m | |
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||||
Ques 98 : Choose the correct answer. | ||||
In a family, the father took 1/5 of the cake and he had 4 times as much as others had, then the family members are: | ||||
Option 1 : 16 | Option 2 : 17 | Option 3 : 18 | Option 4 : None of these | |
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Ques 99 : Choose the correct answer. | ||||
The price of sugar is increased by 25%. In order not to increase the expenditure a lady must reduce her consumption by: | ||||
Option 1 : 25% | Option 2 : 20% | Option 3 : 30% | Option 4 : None of these | |
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||||
Ques 100 : Choose the correct answer. | ||||
I read 3/8 of a book on one day, and 4/5 of the remainder on another day. If now there were 30 pages unread, the book contains: | ||||
Option 1 : 240 pages | Option 2 : 230 pages | Option 3 : 340 pages | Option 4 : 140 pages | Option 5 : None of these |
Placement Written test paper for MNC || Math questions and answers Part –2
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