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This section includes 2251 Mcqs, each offering curated multiple-choice questions to sharpen your Digital Circuits knowledge and support exam preparation. Choose a topic below to get started.
| 1051. |
In the decimal representation of 23/37, what is the 2017th digit after the decimal point ? |
| A. | 1 |
| B. | 2 |
| C. | 6 |
| D. | 9 |
| Answer» D. 9 | |
| 1052. |
If \(\frac{{\begin{array}{*{20}{c}} {\;9\;x\;7\;6}\\ { -x\;6\;y\;9} \end{array}}}{{\ \ \ 3\;y\;y\;7}}\) then values of x and y are equal to |
| A. | x = 9; y = 3 |
| B. | x = 3; y = 9 |
| C. | x = 5; y = 8 |
| D. | x = 4; y = 8 |
| Answer» D. x = 4; y = 8 | |
| 1053. |
Find the largest number which on dividing 60, 150, and 285 leaves equal remainder in each.A. 30B. 25C. 45D. 55 |
| A. | B |
| B. | D |
| C. | C |
| D. | A |
| Answer» D. A | |
| 1054. |
Five clocks ring at an interval of 3, 4, 5, 6 and 7 seconds respectively. After how much time they will ring together once they ring together at same time? |
| A. | 3 minutes 30 second |
| B. | 5 minutes |
| C. | 7 minutes |
| D. | 6 minutes |
| Answer» D. 6 minutes | |
| 1055. |
Find the number which when added to itself 17 times, gives 162. |
| A. | 12 |
| B. | 5 |
| C. | 9 |
| D. | 6 |
| Answer» D. 6 | |
| 1056. |
10 / 1000 = _________ |
| A. | 100 |
| B. | 0.01 |
| C. | 0.001 |
| D. | 10 |
| Answer» C. 0.001 | |
| 1057. |
Every digit of a natural number is either 3 or 4. The number is divisible by both 3 and 4. What is the smallest such number? |
| A. | 333 |
| B. | 444 |
| C. | 44 |
| D. | 4444 |
| Answer» C. 44 | |
| 1058. |
A non-terminating but recurring decimal is: |
| A. | A natural number |
| B. | An integer |
| C. | A whole number |
| D. | A rational number |
| Answer» E. | |
| 1059. |
A call center company had to arrange transportation for its employees. They asked for quotes from different provider agencies and the following are the options they got:A. This option allows having uniform rate for day and night trips. This would cost you Rs.1000 per trip.B. This option has differential fare for day and night trips. Day trips would cost 700 per trip and night trips would be charged 1200 per trip.C. This option charges depending on the total distance covered in a trip. It charges Rs.800 per trip if trip distance is more than 50 KM and Rs.1100 if trip distance is less than 50 KM.If the company has 3 night trips and all less than 50 KM and 3 day trips less than 50 KM, which would be the best option? |
| A. | A |
| B. | B |
| C. | C |
| D. | B or C |
| Answer» C. C | |
| 1060. |
How many decimal of a kilometer is one millimeter?A. 0.000001B. 0.00001C. 0.0001D. 0.001 |
| A. | D |
| B. | B |
| C. | A |
| D. | C |
| Answer» D. C | |
| 1061. |
Let x be the greatest number that will divide 703, 1803 and 1473 leaving in each case the same remainder y, the value of |x – y| is: |
| A. | 43 |
| B. | 54 |
| C. | 67 |
| D. | 110 |
| Answer» D. 110 | |
| 1062. |
If the sum of two numbers is equal to three times of their difference, then what is the ratio of the numbers? |
| A. | 2 : 1 |
| B. | 7 : 3 |
| C. | 4 : 3 |
| D. | 5 : 3 |
| Answer» B. 7 : 3 | |
| 1063. |
How many numbers from 1 to 1000 are divisible by 2, 3, 4 and 5? |
| A. | 16 |
| B. | 17 |
| C. | 32 |
| D. | None of the above |
| Answer» B. 17 | |
| 1064. |
Find the highest common factor of (4 × 54 × 3125), (16 × 5 × 8) and (32 × 27 × 11 × 49). |
| A. | 24 |
| B. | 40 |
| C. | 8 |
| D. | 4 |
| Answer» D. 4 | |
| 1065. |
If 2160 = 2a × 3b × 5c, then find the value of 3a × 2-b × 5-c |
| A. | 1/2 |
| B. | 81/40 |
| C. | 0 |
| D. | 37/39 |
| Answer» C. 0 | |
| 1066. |
A fruit seller has 2646 apples, 4914 mangoes and 6048 oranges. He wants to pack them in boxes such that a box has equal number of fruits of the same kind. What should be the least number of boxes? |
| A. | 28 |
| B. | 30 |
| C. | 32 |
| D. | 36 |
| Answer» E. | |
| 1067. |
How many 4 digit numbers greater than 8000 can be formed with the digits 8, 0, 6, 2, and 5? |
| A. | 6 |
| B. | 24 |
| C. | 36 |
| D. | 12 |
| Answer» C. 36 | |
| 1068. |
If \(\sqrt {12 - 2\sqrt {35} } + \sqrt {8 + 2\sqrt {15} } = \sqrt a + \sqrt b\), where a and b are positive integers, then the value of ab is closed to: |
| A. | 35 |
| B. | 12 |
| C. | 21 |
| D. | 8 |
| Answer» D. 8 | |
| 1069. |
Find the HCF of 865 and 2595 |
| A. | 25 |
| B. | 2595 |
| C. | 865 |
| D. | 5 |
| Answer» D. 5 | |
| 1070. |
How many positive factors of 76 are there? |
| A. | 6 |
| B. | 7 |
| C. | 5 |
| D. | 8 |
| Answer» B. 7 | |
| 1071. |
Find the least value of * for which the number 82178342*52 is divisible by 11. |
| A. | 0 |
| B. | 2 |
| C. | 5 |
| D. | 7 |
| Answer» E. | |
| 1072. |
One-sixth of a number when subtracted from the number itself gives 25. The number is - |
| A. | 30 |
| B. | 32 |
| C. | 35 |
| D. | 28 |
| Answer» B. 32 | |
| 1073. |
A printer numbers the pages of a book starting with 1 and uses 3089 digits in all. How many pages does the book have? |
| A. | 1040 |
| B. | 1048 |
| C. | 1049 |
| D. | 1050 |
| Answer» D. 1050 | |
| 1074. |
Evaluate: \(1 + \frac{1}{2} + \frac{1}{4} + \frac{1}{8} + \frac{1}{{16}} + \ldots\) |
| A. | 1/50 |
| B. | 2 |
| C. | 1/22 |
| D. | 3 |
| Answer» C. 1/22 | |
| 1075. |
Find the HCF of 1.43, 1.87 and 20.9.A. 11B. 1C.0.11D. 110 |
| A. | A |
| B. | B |
| C. | C |
| D. | D |
| Answer» D. D | |
| 1076. |
In determining the HCF of two numbers by the method of long division, the last divisor is 63 and the successive quotients from the beginning to the end are 1, 3, 1 and 5, respectively. The sum of the two numbers is: |
| A. | 3,402 |
| B. | 3,276 |
| C. | 3,150 |
| D. | 3,213 |
| Answer» C. 3,150 | |
| 1077. |
How many factors of 108 is/are prime number? |
| A. | 2 |
| B. | 3 |
| C. | 5 |
| D. | 6 |
| Answer» B. 3 | |
| 1078. |
If x - y = 8, then which of the following must be true? 1. Both x and y must be positive for any value of x and y.2. If x is positive, y must be negative for any value of x and y.3. If x is negative, y must be positive for any value of x and y. Select the correct answer using the code given below. |
| A. | 1 only |
| B. | 2 only |
| C. | Both 1 and 2 |
| D. | Neither 1 nor 2 nor 3 |
| Answer» E. | |
| 1079. |
An 8-digit number 4252746B leaves remainder 0 when divided by 3. How many values of B are possible? |
| A. | 2 |
| B. | 3 |
| C. | 4 |
| D. | 6 |
| Answer» D. 6 | |
| 1080. |
If \(\frac{{45}}{{53}} = \frac{1}{{a + \frac{1}{{b + \frac{1}{{c - \frac{2}{5}}}}}}},\) where a, b and c are positive integers, then what is the value of (4a - b + 3c) |
| A. | 6 |
| B. | 4 |
| C. | 7 |
| D. | 5 |
| Answer» E. | |
| 1081. |
If all the 6's are replaced by 9's, then the algebraic sum of all the numbers from 1 to 100 (both inclusive) varies by |
| A. | 333 |
| B. | 300 |
| C. | 279 |
| D. | 330 |
| Answer» E. | |
| 1082. |
If the number 413283P759387 is divisible by 13, then what is the value of P? |
| A. | 3 |
| B. | 6 |
| C. | 7 |
| D. | 8 |
| Answer» E. | |
| 1083. |
If sum of five consecutive integers is 'S', then largest of these integers in terms of S will be :- |
| A. | \(\frac{(S-10)}{5}\) |
| B. | \(\frac{(S+4)}{4}\) |
| C. | \(\frac{(S+5)}{4}\) |
| D. | \(\frac{(S+10)}{5}\) |
| Answer» E. | |
| 1084. |
Determine the value of ‘a’ which satisfies the equation: \({9^{\sqrt a }} + {40^{\sqrt a }} = {41^{\sqrt a }}.\) |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| D. | 4 |
| Answer» E. | |
| 1085. |
Find out the greatest four-digit number when divided by 8, 12, 16 leaves 2 as the remainder in every case?A. 9984B. 9985C. 9986D. 9987 |
| A. | B |
| B. | C |
| C. | D |
| D. | A |
| Answer» C. D | |
| 1086. |
If N = 99, then N is divisible by how many positive perfect cubes? |
| A. | 6 |
| B. | 7 |
| C. | 4 |
| D. | 5 |
| Answer» C. 4 | |
| 1087. |
Given, log 2 = 0.30103. Then log 5 is |
| A. | 0.2301 |
| B. | 0.5302 |
| C. | 0.720 |
| D. | 0.6987 |
| Answer» E. | |
| 1088. |
A, B and C start walking together from a point. Their steps measure 42 cm, 56 cm and 64 cm respectively. What is the minimum distance they should walk so that each takes exact number of steps? |
| A. | 13.44 m |
| B. | 14.06 m |
| C. | 14.58 m |
| D. | 15.60 m |
| Answer» B. 14.06 m | |
| 1089. |
If an 11-digit number 5y5884805x6 is divisible by 72, then the value of √(xy) is? where the value of x should be maximum∶ |
| A. | √7 |
| B. | 3 |
| C. | 2√7 |
| D. | 7 |
| Answer» E. | |
| 1090. |
Find the cube root of 287496. |
| A. | 64 |
| B. | 46 |
| C. | 56 |
| D. | 66 |
| Answer» E. | |
| 1091. |
Q : Is xy = uv ?S1 : (x % of u) = (y % of v)S2 : (y % of u) = (v % of x) |
| A. | if S1 alone is sufficient to answer Q |
| B. | if S2 alone is sufficient to answer Q. |
| C. | if S1 and S2 together only can answer Q but neither S1 and S2 alone can answer Q. |
| D. | if S1 and S2 together also cannot answer Q and additional information is needed to answer. |
| Answer» E. | |
| 1092. |
Find a number, such that one-fourth of the number is 3 more than 7: |
| A. | 40 |
| B. | 60 |
| C. | 80 |
| D. | 100 |
| Answer» B. 60 | |
| 1093. |
Find the quotient when the smallest 3-digit number divisible by 15 is divided by 7. |
| A. | 14 |
| B. | 15 |
| C. | 17 |
| D. | 18 |
| Answer» C. 17 | |
| 1094. |
(-5 - 7a + 6a2) ÷ (2a + 1) = _____. |
| A. | 6a - 1 |
| B. | 6a - 5 |
| C. | 3a + 5 |
| D. | 3a - 5 |
| Answer» E. | |
| 1095. |
If P416 is divisible by 11, find the lowest natural value of P.A. 5B. 6C. 7D. 9 |
| A. | A |
| B. | C |
| C. | B |
| D. | D |
| Answer» E. | |
| 1096. |
Each one of the 39 students in a class has one dog or one cat or both a dog and a cat as pet. Twenty students have a dog and 26 students have a cat How many students have both a dog and a cat ? |
| A. | 12 |
| B. | 10 |
| C. | 7 |
| D. | 5 |
| Answer» D. 5 | |
| 1097. |
Consider the following statements:1. There exists a positive real number m such that cosx = 2m + 12. mn ≥ m + n for all m, n belonging to set of natural numbersWhich of the above statement(s) is/are correct? |
| A. | 1 only |
| B. | 2 only |
| C. | Both 1 and 2 |
| D. | Neither 1 nor 2 |
| Answer» E. | |
| 1098. |
If 'X' and 'Y' are both odd numbers, which of the following numbers must be even number? |
| A. | X + Y |
| B. | X × Y |
| C. | X Y + 2 |
| D. | 2 X + Y |
| Answer» B. X × Y | |
| 1099. |
If the number 556743A57B is divisible by 8 and 9, then find the value of A - B. |
| A. | 0 |
| B. | 3 |
| C. | 2 |
| D. | 1 |
| Answer» B. 3 | |
| 1100. |
If m and n are direct natural numbers, then which of the following is/are integer/integers?(1) m/n + n/m(2) mn × (m/n + n/m) × (m2 + n2)-1(3) mn/ (m2 + n2)Select the correct answer using the code given below. |
| A. | 1 and 2 |
| B. | 2 only |
| C. | 2 and 3 |
| D. | 3 only |
| Answer» C. 2 and 3 | |