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MCQOPTIONS
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.
| 1801. |
log (402 - 202) is equal to |
| A. | log 3 |
| B. | log 60 + log 20 |
| C. | log 40 - log 20 |
| D. | log 20 |
| Answer» C. log 40 - log 20 | |
| 1802. |
How many 100 digit positive numbers are there? |
| A. | 9 × 1099 |
| B. | 9 × 10100 |
| C. | 10100 |
| D. | 11 × 1098 |
| Answer» B. 9 × 10100 | |
| 1803. |
If 373P is divisible by 4, then what is the value of P? |
| A. | 2 |
| B. | 6 |
| C. | 2 or 6 |
| D. | 4 |
| Answer» D. 4 | |
| 1804. |
Find the sum of the first 10 natural numbers. |
| A. | 65 |
| B. | 75 |
| C. | 45 |
| D. | 55 |
| Answer» E. | |
| 1805. |
How many times the digit 7 appears in the numbers from 103 to 200? |
| A. | 18 |
| B. | 19 |
| C. | 20 |
| D. | 21 |
| Answer» D. 21 | |
| 1806. |
If the 7 – digit number x468y05 is divisible by 11, then what is the value of (x + y) ? |
| A. | 8 |
| B. | 14 |
| C. | 12 |
| D. | 10 |
| Answer» D. 10 | |
| 1807. |
If x = 23 × 32 × 53 × 73y = 22 × 33 × 54 × 73, andz = 24 × 34 × 52 × 75The H.C.F of x, y and z is |
| A. | (15)3 × 74 |
| B. | (30)3 × 73 |
| C. | 30 × 75 |
| D. | (30)2 × 73 |
| Answer» E. | |
| 1808. |
Given \(\sqrt{2} = 1.414\), the value of \(\sqrt{2450}\) is: |
| A. | 59.49 |
| B. | 39.59 |
| C. | 49.49 |
| D. | 247.45 |
| Answer» D. 247.45 | |
| 1809. |
If the 8-digit number 1a765b12 is to be divisible by 72, the least value of (2a + 3b) is: |
| A. | 11 |
| B. | 9 |
| C. | 10 |
| D. | 12 |
| Answer» B. 9 | |
| 1810. |
Find the three prime numbers such that product of the first two is 1147 and the product of the last two numbers is 1517? |
| A. | 21, 47, 61 |
| B. | 31, 37, 61 |
| C. | 21, 37, 41 |
| D. | 31, 37, 41 |
| Answer» E. | |
| 1811. |
160 multiplied by the square of a number gives the cube of 8 times the number. Find the number. |
| A. | 0.375 |
| B. | 0.25 |
| C. | 0.5 |
| D. | 0.3125 |
| Answer» E. | |
| 1812. |
Find the sum of digits of the largest 5-digit number divisible by 11. |
| A. | 45 |
| B. | 36 |
| C. | 27 |
| D. | 18 |
| Answer» C. 27 | |
| 1813. |
A certain industrial loom weaves 0.128 meters of cloth every second. Approximately how many seconds will it take for the loom to weave 25 meters of cloth? |
| A. | 200 |
| B. | 195 |
| C. | 170 |
| D. | 220 |
| Answer» C. 170 | |
| 1814. |
Alarms from 3 different clocks sound out after every 2, 4 and 6 hours, respectively. If all the clocks are started at the same time, how many times will the alarms ring together in a span of 3 days? |
| A. | 6 |
| B. | 3 |
| C. | 9 |
| D. | 2 |
| Answer» B. 3 | |
| 1815. |
\({2^{18}} - 1\) is divisible by: |
| A. | 13 |
| B. | 11 |
| C. | 7 |
| D. | 17 |
| Answer» D. 17 | |
| 1816. |
A number is greater than 6 times its reciprocal by 5/2. What is the number? |
| A. | 6 |
| B. | 4 |
| C. | 5 |
| D. | 8 |
| Answer» C. 5 | |
| 1817. |
A function, λ, is defined by \(\lambda \left( {p,q} \right) = \{ \begin{array}{*{20}{c}} {{{\left( {p - q} \right)}^2}}&{if\;p \ge q.}\\ {p + q}&{if\;p < q.} \end{array}\;\)The value of the expression \(\frac{{\lambda \left( { - \left( { - 3 + 2} \right),\left( { - 2 + 3} \right)} \right)}}{{\left( { - \left( { - 2 + 1} \right)} \right)}}\) is: |
| A. | 16 |
| B. | \(\frac{16}{3}\) |
| C. | -1 |
| D. | 0 |
| Answer» E. | |
| 1818. |
Directions: Solve the following question and mark the best possible option.How many pairs (a, b) of positive integers are there such that a ≤ b and ab = 42017 ? |
| A. | 2017 |
| B. | 2019 |
| C. | 2018 |
| D. | 2020 |
| Answer» D. 2020 | |
| 1819. |
If the polynomial 2x2 + 5x + 3 is divided with (x + 1), the remainder is: |
| A. | 0 |
| B. | 5 |
| C. | 3 |
| D. | 2 |
| Answer» B. 5 | |
| 1820. |
Let x be the smallest positive integer such that when 14 divides x, the remainder is 7; and when 15 divides x, the remainder is 5. Which one of the following is correct? |
| A. | 20 < x < 30 |
| B. | 30 < x < 40 |
| C. | 40 < x < 50 |
| D. | x > 10 |
| Answer» C. 40 < x < 50 | |
| 1821. |
Let m be a 3 digit natural number such that the sum of the digits is 18 and the product of the digits is zero. Then which of the following is not true? |
| A. | m is divisible by 3 |
| B. | Either m is divisible by 10 or it is divisible by 101 |
| C. | Either m is odd or divisible by 11 |
| D. | m is divisible by 9 and divisible by 13 |
| Answer» E. | |
| 1822. |
Find the value of \(225 - \left[ {42 - \left\{ {25 - \left( {18{\rm{\;}}-{\rm{\;}}\overline {18\; + \;13} } \right)} \right\}} \right]\) |
| A. | 221 |
| B. | 223 |
| C. | 244 |
| D. | 222 |
| Answer» B. 223 | |
| 1823. |
An electronic device beeps after 1 minute and another device beeps after 62 seconds. If both of them beeped together at 12 a.m., the time they will beep together next at the earliest is |
| A. | 1 : 01 a.m. |
| B. | 12 : 11 a.m. |
| C. | 12 : 31 a.m. |
| D. | None of these |
| Answer» D. None of these | |
| 1824. |
If the 9-digit number 5x82y6588 is exactly divisible by 99 (x + y < 10), then what is the value of (y – x)? |
| A. | 4 |
| B. | -4 |
| C. | 1 |
| D. | -1 |
| Answer» D. -1 | |
| 1825. |
If the difference of two numbers is 5 and the difference of their squares is 235, then what is the smaller number? |
| A. | 18 |
| B. | 29 |
| C. | 26 |
| D. | 21 |
| Answer» E. | |
| 1826. |
Find the least number which should be added to 1456 so that it is divisible by 6, 5 and 4 without leaving a remainder. |
| A. | 6 |
| B. | 61 |
| C. | 44 |
| D. | 16 |
| Answer» D. 16 | |
| 1827. |
Find the number of trailing zeros in 357!. |
| A. | 87 |
| B. | 88 |
| C. | 85 |
| D. | 86 |
| Answer» B. 88 | |
| 1828. |
A certain number successively divided by 2, 5 and 7 leaves remainders 1, 2 and 3 respectively. When the same number is divided by 70, what is the remainder? |
| A. | 33 |
| B. | 34 |
| C. | 35 |
| D. | 36 |
| Answer» D. 36 | |
| 1829. |
Find the least number when successively divided by 2, 3 and 7 leaves remainders 1, 2 and 3 respectively? |
| A. | 67 |
| B. | 65 |
| C. | 75 |
| D. | 61 |
| Answer» C. 75 | |
| 1830. |
A number when divided by 221 gives a remainder 43, what remainder will be obtained by dividing the same number 17? |
| A. | 11 |
| B. | 10 |
| C. | 9 |
| D. | 5 |
| Answer» D. 5 | |
| 1831. |
A certain number when divided by 45 leaves a remainder 31, what is the remainder if the same number be divided by 15? |
| A. | 13 |
| B. | 11 |
| C. | 9 |
| D. | 1 |
| Answer» E. | |
| 1832. |
A certain number when divided by 39 leaves a remainder 20, what is the remainder when the same number is divided by 13? |
| A. | 7 |
| B. | 11 |
| C. | 0 |
| D. | 5 |
| Answer» B. 11 | |
| 1833. |
How many numbers between 300 and 800 can be by using digits 2, 4, 5, 6 and 0 ? |
| A. | 36 |
| B. | 48 |
| C. | 52 |
| D. | 56 |
| Answer» B. 48 | |
| 1834. |
A bag contains four red, six black and seven green balls. Three balls are drawn randomly. What is the probability that the balls drawn contain exactly two red balls ? |
| A. | 39/340 |
| B. | 45/340 |
| C. | 51/340 |
| D. | 58/340 |
| Answer» B. 45/340 | |
| 1835. |
There are seven boys and four girls in a row. In how many ways can they be seated in the row so that all the girls do not sit together ? |
| A. | 10! - 7! x 3! |
| B. | 11! - 8! x 3! |
| C. | 11! - 7! x 4! |
| D. | 11! - 8! x 4! |
| Answer» E. | |
| 1836. |
Letters of the word SERIES are arranged in such a way that all the vowels always come together. What is the total number of ways of making such an arrangement ? |
| A. | 112 |
| B. | 98 |
| C. | 72 |
| D. | 36 |
| Answer» E. | |
| 1837. |
What is a two-digit number if the ratio of the digit at ten's place to the digit at unit's place is 4 : 3 ? (I) The sum of the digits of a two-digit number is 14. (II) The digit at unit place is 75% o |
| A. | If the data in statement (I) alone is sufficient to answer the question while that in statement (II) alone is not sufficient. |
| B. | If the data either in statement (I) alone or in statement (II) alone is sufficient to answer the question. |
| C. | If the data in statement (II) alone is sufficient to answer the question, while that in statement (I) alone is not sufficient. |
| D. | If the data even in both statements (I) and (II) together is not sufficient to answer the question. |
| Answer» B. If the data either in statement (I) alone or in statement (II) alone is sufficient to answer the question. | |
| 1838. |
The digit in unit's place of a three digit number is thrice the digit in ten's place & the digit in hundred's place is two-third of the digit in ten's place. If the sum of three digits of number is 14 |
| A. | 239 |
| B. | 221 |
| C. | 215 |
| D. | 211 |
| Answer» B. 221 | |
| 1839. |
In how many different ways can the letters of the word 'LEASE' be arranged ? |
| A. | 40 |
| B. | 60 |
| C. | 80 |
| D. | None of the above |
| Answer» C. 80 | |
| 1840. |
The average age of seven boys sitting in a row facing North is 26 years. If the average age of first three boys is 19 years and the average age of last three boys is 32 years, what is the age of the b |
| A. | 28 years |
| B. | 29 years |
| C. | 30 years |
| D. | 31 years |
| Answer» C. 30 years | |
| 1841. |
Radha's present age is three years less than twice her age 12 years ago. Also the respective ratio between Raj's present age and Radha's present age is 4 : 9. What will be Raj's age after 5 years ? |
| A. | 14 years |
| B. | 15 years |
| C. | 16 years |
| D. | 17 years |
| Answer» E. | |
| 1842. |
√360 - 225 x 2 + 379 = ? |
| A. | 17 |
| B. | 18 |
| C. | 19 |
| D. | 20 |
| Answer» B. 18 | |
| 1843. |
In a 150-litre mixture of milk and water, the percentage of milk is 84%. How much water should be added so that the percentage of milk becomes 52.5% ? |
| A. | 80 litre |
| B. | 85 litre |
| C. | 90 litre |
| D. | 95 litre |
| Answer» D. 95 litre | |
| 1844. |
If the letters of the word PREVIOUS be arranged at random, what is the probability that all the vowels come together ? |
| A. | 1/10 |
| B. | 1/12 |
| C. | 1/14 |
| D. | 1/16 |
| Answer» D. 1/16 | |
| 1845. |
A basket contains eight white and ten black balls. Two draws of one ball each are made without replacement. What is the probability that one ball is white and the other ball is black ? |
| A. | 80/150 |
| B. | 80/151 |
| C. | 80/152 |
| D. | 80/153 |
| Answer» E. | |
| 1846. |
On a new year eve, every student of a class sends a card to every other student. If the total number of cards delivered is 1980, how many students are there in the class ? |
| A. | 41 |
| B. | 43 |
| C. | 45 |
| D. | 47 |
| Answer» D. 47 | |
| 1847. |
What least number must be subtracted from 2641 so that the remainder left, when divided by 10,15 and 25, is 7 in each case ? |
| A. | 81 |
| B. | 84 |
| C. | 87 |
| D. | 94 |
| Answer» C. 87 | |
| 1848. |
735 chocolates were distributed equally among children in such a way that the number of chocolates received by each child is 60% of the total number of children. How many chocolates did each child rec |
| A. | 14 |
| B. | 16 |
| C. | 18 |
| D. | 21 |
| Answer» E. | |
| 1849. |
In a five-litre mixture of milk and water the portion of water is 30%. How much milk should be added to the mixture so that the portion of water reduces to 5% ? |
| A. | 17 litre |
| B. | 21 litre |
| C. | 25 litre |
| D. | 29 litre |
| Answer» D. 29 litre | |
| 1850. |
I. 3x2-14x + 8 = 0 II. 2y2 - 1 7 y + 36 = 0 |
| A. | if x > y |
| B. | if x < y |
| C. | if x >= y |
| D. | if x <= y |
| Answer» E. | |