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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.
| 901. |
If the L.C.M of two numbers is 1763, then the sum of those numbers is: |
| A. | 84 |
| B. | 90 |
| C. | 92 |
| D. | 80 |
| Answer» B. 90 | |
| 902. |
Find two consecutive numbers where thrice the first number is more than twice the second number by 5. |
| A. | 5 and 6 |
| B. | 6 and 7 |
| C. | 7 and 8 |
| D. | 9 and 10 |
| Answer» D. 9 and 10 | |
| 903. |
If x is a real number such that log3 5 = log5 (2 + x), then which of the following is true? |
| A. | 0 < x < 3 |
| B. | 23 < x < 30 |
| C. | x > 30 |
| D. | 3 < x < 23 |
| Answer» E. | |
| 904. |
If 34P7 is divisible by 11, then what is the value of P? |
| A. | 2 |
| B. | 4 |
| C. | 6 |
| D. | 8 |
| Answer» E. | |
| 905. |
If the product of two numbers is 2400 and their LCM is 120 then their HCF is.A. 35B. 240C. 24D. 20 |
| A. | A |
| B. | D |
| C. | B |
| D. | C |
| Answer» C. B | |
| 906. |
A courtyard 4.55 m long and 5.25 m broad is paved with square tiles of equal size. What is the largest size of tile used? |
| A. | 21 cm |
| B. | 28 cm |
| C. | 35 cm |
| D. | 25 cm |
| Answer» D. 25 cm | |
| 907. |
If a 10 - digit number 5432y1749x is divisible by 72, then what is the value of (5x – 4y)? |
| A. | 14 |
| B. | 15 |
| C. | 10 |
| D. | 9 |
| Answer» C. 10 | |
| 908. |
Let S be a set of fourteen natural numbers. The possible number of pairs (a, b), where a, b ∈ S and a ≠ b such that ab leaves remainder 1 when divided by 15, is |
| A. | 3 |
| B. | 5 |
| C. | 6 |
| D. | None of the above |
| Answer» E. | |
| 909. |
If three numbers are chosen from 2, 4, 6, 8, 10, 12, and 1 such that their sum is 14, then what is the least number possible among the three numbers chosen? |
| A. | 8 |
| B. | 6 |
| C. | 4 |
| D. | 2 |
| Answer» E. | |
| 910. |
Find the largest of the following fractions?\(\dfrac{2}{9}, \dfrac{14}{16}, \dfrac{23}{21}, \dfrac{63}{69}, \dfrac{19}{17}\) |
| A. | \(\dfrac{23}{21}\) |
| B. | \(\dfrac{19}{17}\) |
| C. | \(\dfrac{63}{69}\) |
| D. | \(\dfrac{14}{16}\) |
| Answer» C. \(\dfrac{63}{69}\) | |
| 911. |
Let f(x) = x2 + ax + b and g(x) = f(x + 1) - f(x - 1). If f(x) ≥ 0 for all real x, and g(20) = 72, then the smallest possible value of b is |
| A. | 4 |
| B. | 1 |
| C. | 16 |
| D. | 0 |
| Answer» B. 1 | |
| 912. |
Correct expression of \(0.06\overline {54}\). (the bar indicates repeating decimal) |
| A. | \(\frac{18}{275}\) |
| B. | \(\frac{18}{277}\) |
| C. | \(\frac{654}{100}\) |
| D. | \(\frac{654}{1000}\) |
| Answer» B. \(\frac{18}{277}\) | |
| 913. |
If the value of √3 = 1.732, then calculate the value of \(\sqrt {243} - \frac{1}{2}\sqrt {108} - \sqrt {147} \) |
| A. | 1.732 |
| B. | -1.464 |
| C. | 3.464 |
| D. | -1.732 |
| Answer» E. | |
| 914. |
If 11/111 is represented as an infinite decimal, then what will be its 2000th digit after the decimal point? |
| A. | 9 |
| B. | 0 |
| C. | 1 |
| D. | 3 |
| Answer» B. 0 | |
| 915. |
N is a whole number which when divided by 6, the remainder 4 is left. If 2N is divided by 6, what will be the remainder?A. 4B. 8C. 2D. 0 |
| A. | A |
| B. | C |
| C. | D |
| D. | B |
| Answer» C. D | |
| 916. |
An electronic device makes a beep after every 45 seconds, another device makes a beep after every 60 seconds and the third device makes a beep after every 72 seconds. They beeped together at 8:30 am. At what time will they beep together at the earliest? |
| A. | 8:50 am |
| B. | 8:36 am |
| C. | 2:30 pm |
| D. | 4:30 pm |
| Answer» C. 2:30 pm | |
| 917. |
Calculate (12 × 5) - (15 × 4) = ______ |
| A. | 3 |
| B. | 120 |
| C. | 1 |
| D. | 0 |
| Answer» E. | |
| 918. |
A number is three times of the other and the sum of both numbers is 100. So what is the smaller number? |
| A. | 75 |
| B. | 60 |
| C. | 25 |
| D. | 20 |
| Answer» D. 20 | |
| 919. |
How many five-digit numbers of the form XXYXX is/are divisible by 33? |
| A. | 1 |
| B. | 3 |
| C. | 5 |
| D. | Infinity |
| Answer» C. 5 | |
| 920. |
If 142N is divisible by 12, then what is the value of N? |
| A. | 2 |
| B. | 4 |
| C. | 6 |
| D. | 8 |
| Answer» E. | |
| 921. |
If (11011)2 = (______)10, then number in the blank space is |
| A. | 27 |
| B. | 30 |
| C. | 33 |
| D. | 22 |
| Answer» B. 30 | |
| 922. |
311 + 312 + 313 + 314 is divisible by _____. |
| A. | 7 |
| B. | 8 |
| C. | 11 |
| D. | 14 |
| Answer» C. 11 | |
| 923. |
Find the least value of x for which the number 82178342x52 is divisible by 3. |
| A. | 2 |
| B. | 0 |
| C. | 1 |
| D. | 6 |
| Answer» C. 1 | |
| 924. |
43200 seconds is how many hours? |
| A. | 1 hour |
| B. | 6 hours |
| C. | 12 hours |
| D. | 24 hours 20 seconds |
| Answer» D. 24 hours 20 seconds | |
| 925. |
A number exceeds its 1/4 by 36. What is the number? |
| A. | 65 |
| B. | 48 |
| C. | 36 |
| D. | 68 |
| Answer» C. 36 | |
| 926. |
How many numbers are there between 200 and 285 which are divisible by 7? |
| A. | 11 |
| B. | 12 |
| C. | 22 |
| D. | 32 |
| Answer» C. 22 | |
| 927. |
If the number x4562 is divisible by 9, what is the value of x? |
| A. | 2 |
| B. | 3 |
| C. | 1 |
| D. | 4 |
| Answer» D. 4 | |
| 928. |
Find the product of square root of 16 and square of 4? |
| A. | 8 |
| B. | 64 |
| C. | 16 |
| D. | 256 |
| Answer» C. 16 | |
| 929. |
A is the smallest three-digit number which when divided by 3, 4 and 5 leaves remainders 1, 2 and 3 respectively. What is the sum of the digits of A? |
| A. | 10 |
| B. | 6 |
| C. | 11 |
| D. | 8 |
| Answer» B. 6 | |
| 930. |
If the unit digit of 433 × 456 × 43N is (N + 2), then what is the value of N? |
| A. | 1 |
| B. | 8 |
| C. | 3 |
| D. | 6 |
| Answer» E. | |
| 931. |
A class starts at 10.00 a.m. and lasts till 1.27 p.m. Four periods are held during this interval. After every period, 5 minutes rest are given to the students. The exact duration of each period is: |
| A. | 42 minutes |
| B. | 48 minutes |
| C. | 51 minutes |
| D. | 53 minutes |
| Answer» C. 51 minutes | |
| 932. |
If one third of one-fourth of a number is 15. then three-tenth of that number is |
| A. | 45 |
| B. | 36 |
| C. | 35 |
| D. | 54 |
| Answer» E. | |
| 933. |
If N = 314 + 313 – 12, then what is the largest prime factor of N? |
| A. | 11 |
| B. | 79 |
| C. | 13 |
| D. | 73 |
| Answer» E. | |
| 934. |
If f is a bounded function and p* is a refinement of a partition p then which of the following statement is true? |
| A. | L (f, p*) ≤ L (f, p) |
| B. | L (f, p*) ≥ L (f, p) |
| C. | U (f, p*) ≥ U (f, p) |
| D. | None of these |
| Answer» C. U (f, p*) ≥ U (f, p) | |
| 935. |
If the difference between 3/4 and 4/7 of a number is 100, then the number is |
| A. | 520 |
| B. | 500 |
| C. | 560 |
| D. | 540 |
| Answer» D. 540 | |
| 936. |
If a nine-digit number 985x3678y is divisible by 72, then the value of (4x – 3y) is: |
| A. | 3 |
| B. | 5 |
| C. | 6 |
| D. | 4 |
| Answer» E. | |
| 937. |
If a, a + 2, a + 4 are prime numbers, then the number of values of a is |
| A. | one |
| B. | two |
| C. | three |
| D. | more than three |
| Answer» B. two | |
| 938. |
If a is a whole number and p is a prime number then according to Fermat's theorem: |
| A. | 2p - 1 - 2 is divisible by p |
| B. | 2p - 1 is divisible by p |
| C. | 2p - 2 is not divisible by p |
| D. | 2p - 2 is divisible by p |
| Answer» E. | |
| 939. |
If the 6–digit numbers x35624 and 1257y4 are divisible by 11 and 72, respectively, then what is the value of (5x – 2y)? |
| A. | 14 |
| B. | 12 |
| C. | 10 |
| D. | 13 |
| Answer» B. 12 | |
| 940. |
Consider the following statements regarding Golden Ratio for positive integers 1. It is the ratio of difference of two numbers and the smaller number 2. It is the ratio of sum of two numbers and the smaller number 3. It is the ratio of the sum of two numbers and the larger number Which of the above statements is/are correct ? |
| A. | 1, 2 and 3 |
| B. | 3 only |
| C. | 2 only |
| D. | 1 only |
| Answer» C. 2 only | |
| 941. |
\((888)^7 \triangle = (888)^8\) Which of the following would come in the \(\triangle \) to make the expression true? |
| A. | × 888 |
| B. | + 888 |
| C. | ÷ 888 |
| D. | × 8 |
| Answer» B. + 888 | |
| 942. |
Consider the following statements:1) If p is relatively prime to each of q and r, then p is relatively prime to the product qr.2) If p divides the product qr and if p divides q, then p must divide r.Which of the above statements is/are correct? |
| A. | 1 only |
| B. | 2 only |
| C. | Both 1 and 2 |
| D. | Neither 1 nor 2 |
| Answer» B. 2 only | |
| 943. |
How many positive numbers less than 10,000 are such that the product of their digits is 210? |
| A. | 36 |
| B. | 42 |
| C. | 48 |
| D. | 54 |
| Answer» E. | |
| 944. |
If a 10-digit number 2094x843y2 is divisible by 88, then the value of (5x— 7y) for the largest possible value of x, is: |
| A. | 3 |
| B. | 5 |
| C. | 2 |
| D. | 6 |
| Answer» C. 2 | |
| 945. |
Find the LCM of 4 and 40. |
| A. | 2 |
| B. | 3 |
| C. | 20 |
| D. | 40 |
| Answer» E. | |
| 946. |
‘P’ is the smallest positive integer such that every positive integer N greater than ‘P’ can be written as a sum of two composite numbers. Then ‘P’ is: |
| A. | 11 |
| B. | 6 |
| C. | 10 |
| D. | 3 |
| Answer» B. 6 | |
| 947. |
In a five-digit number, the digit at the hundreds place is three-fourth of the digit at ten thousands place and the digit at tens place is two-third of the digit at hundreds place. The digit at tens place is square of the smallest prime number and the digit at thousands place is the largest single digit prime number. If the digit at the unit place is the largest single-digit odd number, then the number is |
| A. | 49327 |
| B. | 83419 |
| C. | 42937 |
| D. | 87649 |
| Answer» E. | |
| 948. |
Find the LCM of 24, 96 and 36. |
| A. | 576 |
| B. | 216 |
| C. | 288 |
| D. | 144 |
| Answer» D. 144 | |
| 949. |
Consider the following in respect of natural numbers a, b and c:1. LCM(ab, ac) = a × LCM(b, c)2. HCF(ab, ac) = a × HCF(b, c)3. HCF (a, b) < LCM(a, b)4. HCF(a, b) divides LCM(a, b)Where, a ≠ b ≠ c Which of the above are correct? |
| A. | 1 and 2 only |
| B. | 3 and 4 only |
| C. | 1, 2 and 4 only |
| D. | 1, 2, 3 and 4 |
| Answer» D. 1, 2, 3 and 4 | |
| 950. |
If 8 - digit number 4432A43B is divisible by 9 and 5, then the sum of A and B is equal to: |
| A. | 12 |
| B. | 5 |
| C. | 7 |
| D. | 8 |
| Answer» D. 8 | |