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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.
| 851. |
How many numbers between 1 and 1000 are divisible by all number 2, 3, 4, 5 and 6? |
| A. | 16 |
| B. | 32 |
| C. | 17 |
| D. | 33 |
| Answer» B. 32 | |
| 852. |
4x3 + 12x2 - x - 3 is divisible by |
| A. | (2x + 1) only |
| B. | (2x - 1) only |
| C. | Both (2x + 1) and (2x - 1) |
| D. | Neither (2x + 1) nor (2x - 1) |
| Answer» D. Neither (2x + 1) nor (2x - 1) | |
| 853. |
Find the number of ways in which 432 mobile phones can be shared equally among students. |
| A. | 20 |
| B. | 22 |
| C. | 18 |
| D. | 24 |
| Answer» B. 22 | |
| 854. |
Find the least number by which 768 should be multiplied to get a perfect square. |
| A. | 6 |
| B. | 5 |
| C. | 2 |
| D. | 3 |
| Answer» E. | |
| 855. |
34.95 ÷ 240.016 ÷ 23.98 = ? |
| A. | 0.006 |
| B. | 0.012 |
| C. | 0.056 |
| D. | 0.004 |
| Answer» B. 0.012 | |
| 856. |
A tailor has 37.5 meters of cloth and has to cut 8 pieces in one meter. Accordingly how many pieces will be made in the whole cloth? |
| A. | 320 |
| B. | 360 |
| C. | 400 |
| D. | None of these |
| Answer» E. | |
| 857. |
Given below are the ages (in years) of a group of children. What is the median age?7, 9, 8, 6, 5, 3, 9, 2 |
| A. | 6 |
| B. | 6.5 |
| C. | 5 |
| D. | 6.125 |
| Answer» C. 5 | |
| 858. |
A number when divided by 234 gives the remainder 36. What will be the remainder when it is divided by 13? |
| A. | 6 |
| B. | 11 |
| C. | 9 |
| D. | 10 |
| Answer» E. | |
| 859. |
If f(x) is divided by (x – α)(x – β) where α ≠ β, then what is the remainder? |
| A. | \(\frac{{\left( {{\rm{x}} - {\rm{\alpha }}} \right){\rm{f}}\left( {\rm{\alpha }} \right) - \left( {{\rm{x}} - {\rm{\beta }}} \right){\rm{f}}\left( {\rm{\beta }} \right)}}{{{\rm{\alpha }} - {\rm{\beta }}}}\) |
| B. | \(\frac{{\left( {{\rm{x}} - {\rm{\alpha }}} \right){\rm{f}}\left( {\rm{\beta }} \right) - \left( {{\rm{x}} - {\rm{\beta }}} \right){\rm{f}}\left( {\rm{\alpha }} \right)}}{{{\rm{\alpha }} - {\rm{\beta }}}}\) |
| C. | \(\frac{{\left( {{\rm{x}} - {\rm{\beta }}} \right){\rm{f}}\left( {\rm{\alpha }} \right) - \left( {{\rm{x}} - {\rm{\alpha }}} \right){\rm{f}}\left( {\rm{\beta }} \right)}}{{{\rm{\alpha }} - {\rm{\beta }}}}\) |
| D. | \(\frac{{\left( {{\rm{x}} - {\rm{\beta }}} \right){\rm{f}}\left( {\rm{\beta }} \right) - \left( {{\rm{x}} - {\rm{\alpha }}} \right){\rm{f}}\left( {\rm{\alpha }} \right)}}{{{\rm{\alpha }} - {\rm{\beta }}}}\) |
| Answer» D. \(\frac{{\left( {{\rm{x}} - {\rm{\beta }}} \right){\rm{f}}\left( {\rm{\beta }} \right) - \left( {{\rm{x}} - {\rm{\alpha }}} \right){\rm{f}}\left( {\rm{\alpha }} \right)}}{{{\rm{\alpha }} - {\rm{\beta }}}}\) | |
| 860. |
A squirrel starts climbing up a tree at the speed of 6 mtr a minute but after every 6 mtr it slips down 4 mtr in the next minute. It will be able to reach the top 120 mtr high in - |
| A. | 20 min |
| B. | 58 min |
| C. | 115 min |
| D. | 90 min |
| Answer» D. 90 min | |
| 861. |
If 34P8 is divisible by 9, then what is the value of P? |
| A. | 2 |
| B. | 3 |
| C. | 4 |
| D. | 5 |
| Answer» C. 4 | |
| 862. |
A bus starts running with the initial speed of 21 km/hr and its speed increases every hour by 3 km/hr. How many hours will it take to cover a distance of 252 km? |
| A. | 3 |
| B. | 5 |
| C. | 8 |
| D. | 10 |
| Answer» D. 10 | |
| 863. |
A shepherd has 945 brown sheeps and 2475 red sheeps. He wants to graze them in minimum number of groups in such a way that each group has same colour of animals and also contains equal no. of animals in each group. Find such minimum no. of groups. |
| A. | 56 |
| B. | 84 |
| C. | 70 |
| D. | 76 |
| Answer» E. | |
| 864. |
Asmita reaches school for a meeting 15 minutes before 8:30 am. She reached half an hour earlier than her colleague who is 40 minutes late for the meeting. What is the scheduled time of the meeting? |
| A. | 9:10 am |
| B. | 8:45 am |
| C. | 8:05 am |
| D. | 8:15 am |
| Answer» D. 8:15 am | |
| 865. |
If \(\dfrac{p}{q}=\dfrac{{p \times m}}{{q \times n}}\) then _______ statement is true. |
| A. | n = 1 |
| B. | m = n |
| C. | m = 0 |
| D. | m = 1 |
| Answer» C. m = 0 | |
| 866. |
4 bells ring at intervals of 30 minutes, 1 hour, 1 hour 30 minutes and 1 hour 45 minutes respectively. All the bells ring simultaneously at 12 noon. They will again ring simultaneously at: |
| A. | 9 a.m. |
| B. | 3 a.m. |
| C. | 6 a.m. |
| D. | 12 a.m. |
| Answer» B. 3 a.m. | |
| 867. |
Find the number which is as much greater than 49 as it is less than 95. |
| A. | 23 |
| B. | 55 |
| C. | 72 |
| D. | 76 |
| Answer» D. 76 | |
| 868. |
All odd prime numbers up to 110 are multiplied together. What is the unit digit in this product? |
| A. | 0 |
| B. | 3 |
| C. | 5 |
| D. | None of the above |
| Answer» D. None of the above | |
| 869. |
Find the number whose 6 times is 6 less than 60.A. 6B. 7C. 8D. 9 |
| A. | B |
| B. | D |
| C. | A |
| D. | C |
| Answer» C. A | |
| 870. |
HCF and LCM of two polynomials are (x + 3) and (x3 - 9x2 - x + 105). If one of the two polynomials is (x2 - 4x - 21), then the other is |
| A. | x2 + 2x - 21 |
| B. | x2 + 2x + 15 |
| C. | x2 - 2x - 15 |
| D. | x2 - x - 15 |
| Answer» D. x2 - x - 15 | |
| 871. |
How many 3-digit numbers are exactly divisible by 6? |
| A. | 140 |
| B. | 150 |
| C. | 160 |
| D. | 170 |
| Answer» C. 160 | |
| 872. |
If \(f(x) = \frac{5x +2}{3x-5}\) and g(x) = x2 - 2x - 1, then the value of g(f(f(3))) is |
| A. | 2 |
| B. | \(\frac{1}{3}\) |
| C. | 6 |
| D. | \(\frac{2}{3}\) |
| Answer» B. \(\frac{1}{3}\) | |
| 873. |
If the students of a class can be grouped exactly into 6 or 8 or 10, then the minimum number of students in the class must be: |
| A. | 120 |
| B. | 240 |
| C. | 60 |
| D. | 180 |
| Answer» B. 240 | |
| 874. |
100 =? |
| A. | 0 |
| B. | 100 |
| C. | 10 |
| D. | 1 |
| Answer» E. | |
| 875. |
If an 8-digit number 30x558y2 is divisible by 88, then the value of (6x + 6y) is: |
| A. | 35 |
| B. | 42 |
| C. | 30 |
| D. | 66 |
| Answer» C. 30 | |
| 876. |
If (x = 3) is a factor of both x3 + 2x2 + px + 6 and x2 – 5x + q, then find 6p + 5q. |
| A. | - 62 |
| B. | - 72 |
| C. | *42 |
| D. | - 82 |
| Answer» C. *42 | |
| 877. |
If the number 23P62971335 is divisible by the smallest odd composite number, then what is the value of P ? |
| A. | 4 |
| B. | 5 |
| C. | 6 |
| D. | 7 |
| Answer» B. 5 | |
| 878. |
A number M is completely divisible by 20. If (M + 4)(M + 3) is divided by 20, then what will be the remainder? |
| A. | 1 |
| B. | 12 |
| C. | 8 |
| D. | 9 |
| Answer» C. 8 | |
| 879. |
A natural number, when divided by 9, 10, 12 or 15, leaves a remainder of 3 in each case. What is the smallest of all such numbers? |
| A. | 183 |
| B. | 153 |
| C. | 63 |
| D. | 123 |
| Answer» B. 153 | |
| 880. |
For what value of x is the seven digit number 46393x8 divisible by 11? |
| A. | 7 |
| B. | 3 |
| C. | 5 |
| D. | 2 |
| Answer» C. 5 | |
| 881. |
A number when divided by a divisor, leaves a remainder 24. When twice that number is divided by the same divisor, the remainder is 15. What is the divisor? |
| A. | 23 |
| B. | 33 |
| C. | 9 |
| D. | 35 |
| Answer» C. 9 | |
| 882. |
If [2x + 2(4 + 3x)] < [(2 + 3x)] > [2x + x/2]; then x can take which of the following values? |
| A. | − 3 |
| B. | 1 |
| C. | 0 |
| D. | − 1 |
| Answer» B. 1 | |
| 883. |
A person gets Rs. x from salary and Rs. 3x from rent. How much does he earn in total? |
| A. | 4x |
| B. | 6x |
| C. | 3x |
| D. | 4 |
| Answer» B. 6x | |
| 884. |
A positive integer, which when added to 100, gives a sum which is greater than when it is multiplied by 100. This positive integer is: |
| A. | 1 |
| B. | 7 |
| C. | 3 |
| D. | 5 |
| Answer» B. 7 | |
| 885. |
A daily train is to be introduced between station A and station B starting from each end at 6 AM and the journey is to be completed in 42 hours. What is the number of trains needed in order to maintain the shuttle service? |
| A. | 2 |
| B. | 3 |
| C. | 4 |
| D. | 7 |
| Answer» D. 7 | |
| 886. |
Find the sum of all natural numbers between 1 and 100 which are multiples of 3? |
| A. | 1683 |
| B. | 1600 |
| C. | 1540 |
| D. | 815 |
| Answer» B. 1600 | |
| 887. |
If a nine-digit number 785x3678y is divisible by 72, then the value of (x + y) is: |
| A. | 5 |
| B. | 12 |
| C. | 10 |
| D. | 20 |
| Answer» D. 20 | |
| 888. |
HCF and LCM of two numbers are 11 and 825 respectively. If one number is 275, find the other number. |
| A. | 54 |
| B. | 22 |
| C. | 33 |
| D. | 44 |
| Answer» D. 44 | |
| 889. |
Determine the value of m for which \(4{\rm{x}} + {\rm{}}\frac{{\sqrt {\rm{x}} }}{6}{\rm{}} + {\rm{}}\frac{{{{\rm{m}}^2}}}{4}{\rm{\;}}\) is a perfect square. |
| A. | 1/24 |
| B. | 1/12 |
| C. | 12 |
| D. | 24 |
| Answer» C. 12 | |
| 890. |
Find the greatest number that will divide 146, 248 and 611 leaving remainders 2,8 and 11 respectively. |
| A. | 47 |
| B. | 144 |
| C. | 24 |
| D. | 612 |
| Answer» D. 612 | |
| 891. |
How many multiples of both 3 and 5 are there from numbers 1 to 150? |
| A. | 8 |
| B. | 10 |
| C. | 11 |
| D. | 30 |
| Answer» C. 11 | |
| 892. |
Find the smallest number which when divided by 25, 40 and 56 has in each case 13 as remainder. |
| A. | 1413 |
| B. | 1400 |
| C. | 1439 |
| D. | 1426 |
| Answer» B. 1400 | |
| 893. |
Find the H.C.F. and L.C.M. of 20 and 28. |
| A. | 20, 280 |
| B. | 5, 280 |
| C. | 10, 140 |
| D. | 4, 140 |
| Answer» E. | |
| 894. |
If N = (12345)2 + 12345 + 12346, then what is the value of √N? |
| A. | 12346 |
| B. | 12345 |
| C. | 12344 |
| D. | 12347 |
| Answer» B. 12345 | |
| 895. |
Let x be the least number which when divided by 8, 12, 20, 28, 35 leaves a remainder 5 in each case. What is the sum of digits of x? |
| A. | 11 |
| B. | 14 |
| C. | 15 |
| D. | 17 |
| Answer» E. | |
| 896. |
If a ⊕ b = L. C. M. of a and b, a ⊗ b = G. C. F. of a and b, then (12 ⊗ 16) ⊕ (24 ⊗ 36) will be |
| A. | 4 |
| B. | 2 |
| C. | 12 |
| D. | 16 |
| Answer» D. 16 | |
| 897. |
A man fills a basket with eggs in such a way that the number of eggs added on each successive day is the same as the number already present in the basket. This way the basket gets completely filled in 24 days. After how many days the basket was 1/4th full ? |
| A. | 6 |
| B. | 12 |
| C. | 17 |
| D. | 22 |
| Answer» E. | |
| 898. |
Find the sum of digits of the biggest 6-digit number divisible by 14, 15, 16, 18 and 24. |
| A. | 36 |
| B. | 48 |
| C. | 44 |
| D. | 40 |
| Answer» B. 48 | |
| 899. |
A number consists of three digits of which the middle one is zero and their sum is 4. If the number formed by interchanging the first and last digits is greater than the number itself by 198, then the difference between the first and last digits is |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| D. | 4 |
| Answer» C. 3 | |
| 900. |
Find the remainder when (1213 + 12) is divided by 13. |
| A. | 2 |
| B. | 1 |
| C. | 12 |
| D. | 11 |
| Answer» E. | |