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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.
| 1201. |
A 9 digit number in which zero does not appear and no digits are repeated has the following properties: The number comprising the left most two digits is divisible by 2, that comprising the left most three digits is divisible by 3, and so on |
| A. | 83654729 |
| B. | 81654729 |
| C. | 83654721 |
| D. | 81654723 |
| Answer» C. 83654721 | |
| 1202. |
Consider the following statements :1. If x and y are composite numbers, then x + y is always composite.2. There does not exist a natural number which is neither prime nor composite.Which of the above statements is/are correct ? |
| A. | only |
| B. | only |
| C. | oth 1 and 2 |
| D. | either 1 nor 2 |
| Answer» E. | |
| 1203. |
217 × 217 + 183 × 183 = ? |
| A. | 9698 |
| B. | 0578 |
| C. | 0698 |
| D. | 1268 |
| E. | one of these |
| Answer» C. 0698 | |
| 1204. |
What is the number of prime factors contained in the product 307 × 225 × 3411 ? |
| A. | 9 |
| B. | 1 |
| C. | 2 |
| D. | 3 |
| Answer» E. | |
| 1205. |
In a division sum, the remainder was 71. With the same divisor but twice the dividend, the remainder is 43. Which one of the following is the divisor ? |
| A. | 6 |
| B. | 3 |
| C. | 9 |
| D. | 04 |
| Answer» D. 04 | |
| 1206. |
8888 + 848 + 88 - ? = 7337 +737 |
| A. | 450 |
| B. | 550 |
| C. | 650 |
| D. | 750 |
| E. | one of these |
| Answer» E. one of these | |
| 1207. |
The sum of the digits of a 3-digit number is subtracted from the number. The resulting number is always : |
| A. | ot divisible by 9 |
| B. | ivisible by 9 |
| C. | ot divisible by 6 |
| D. | ivisible by 6 |
| Answer» C. ot divisible by 6 | |
| 1208. |
5566 - 7788 + 9988 = ? + 4444 |
| A. | 223 |
| B. | 232 |
| C. | 322 |
| D. | 333 |
| E. | one of these |
| Answer» D. 333 | |
| 1209. |
If x - y = 8, then which of the following must be true ?I. Both x and y are positive.II. If x is positive, y must be positive.III. If x is negative, y must be negative. |
| A. | only |
| B. | I only |
| C. | and II both |
| D. | II only |
| Answer» E. | |
| 1210. |
A number is successively divided by 8, 7 and 3 giving residues 3, 4 and 2 respectively and quotient 31. The number is : |
| A. | 555 |
| B. | 355 |
| C. | 535 |
| D. | 553 |
| Answer» C. 535 | |
| 1211. |
The number π is : |
| A. | fraction |
| B. | recurring decimal |
| C. | rational number |
| D. | n irrational number |
| Answer» E. | |
| 1212. |
What is the minimum number of four digits formed by using the digits 2, 4, 0, 7 ? |
| A. | 047 |
| B. | 247 |
| C. | 407 |
| D. | 470 |
| Answer» B. 247 | |
| 1213. |
What number multiplied by 48 will give the same product as 173 multiplied by 240 ? |
| A. | 95 |
| B. | 45 |
| C. | 85 |
| D. | 65 |
| Answer» E. | |
| 1214. |
The number of prime numbers between 0 and 50 is : |
| A. | 4 |
| B. | 5 |
| C. | 6 |
| D. | 7 |
| Answer» C. 6 | |
| 1215. |
$$\frac{256 × 256 - 144 × 144}{112}$$is equal to : |
| A. | 20 |
| B. | 00 |
| C. | 60 |
| D. | 20 |
| Answer» C. 60 | |
| 1216. |
Let n be a natural number such that $$\frac{1}{2}$$ + $$\frac{1}{3}$$ + $$\frac{1}{7}$$ + $$\frac{1}{n}$$is also a natural number. Which of the following statements is not true ? |
| A. | divides n |
| B. | divides n |
| C. | divides n |
| D. | > 84 |
| Answer» E. | |
| 1217. |
The number of zeros at the end of 60! is : |
| A. | 2 |
| B. | 4 |
| C. | 6 |
| D. | 8 |
| Answer» C. 6 | |
| 1218. |
If a and b are two numbers such that ab = 0, then - |
| A. | = 0 and b = 0 |
| B. | = 0 or b = 0 or both |
| C. | = 0 and b $$ \ne $$ 0 |
| D. | = 0 and a $$ \ne $$ 0 |
| Answer» C. = 0 and b $$ \ne $$ 0 | |
| 1219. |
325325 is a six-digit number. It is divisible by : |
| A. | ONLY |
| B. | 1 ONLY |
| C. | 3 ONLY |
| D. | LL 7, 11 AND 13 |
| Answer» E. | |
| 1220. |
6 × 3 (3 - 1) is equal to : |
| A. | 9 |
| B. | 0 |
| C. | 6 |
| D. | 3 |
| Answer» D. 3 | |
| 1221. |
A number is divisible by 11 if the difference between the sums of the digit in odd even places respectively is : |
| A. | multiple of 3 |
| B. | multiple of 5 |
| C. | ero or a multiple of 7 |
| D. | ero or a multiple of 11 |
| Answer» E. | |
| 1222. |
Between two distinct rational numbers a and b, there exists another rational number which is : |
| A. | $\frac{a}{2}$$ |
| B. | $\frac{b}{2}$$ |
| C. | $\frac{ab}{2}$$ |
| D. | $\frac{a + b}{2}$$ |
| Answer» E. | |
| 1223. |
On multiplying a number by 7, all the digits in the product appear as 3’s. The smallest such number is : |
| A. | 7619 |
| B. | 6719 |
| C. | 8619 |
| D. | 7649 |
| Answer» B. 6719 | |
| 1224. |
The smallest number of 5 digits beginning with 3 and ending with 5 will be : |
| A. | 1005 |
| B. | 0015 |
| C. | 0005 |
| D. | 0025 |
| Answer» D. 0025 | |
| 1225. |
If a + b + c = 6 and ab + bc + ca = 10, then value of a3 + b3 + c3 - 3abc is : |
| A. | 6 |
| B. | 8 |
| C. | 2 |
| D. | 0 |
| Answer» B. 8 | |
| 1226. |
If x, y, z and w be the digits of a number beginning from the left, the number is : |
| A. | yzw |
| B. | zyx |
| C. | + 10y + 100z + 1000w |
| D. | 03x + 102y + 10z + w |
| Answer» E. | |
| 1227. |
The number formed from the last two digits (ones and tens) of the expression 212n - 64n , where n is any positive integer is : |
| A. | 0 |
| B. | 0 |
| C. | 0 |
| D. | 2 |
| Answer» C. 0 | |
| 1228. |
Which of the following numbers are completely divisible by 7 ?I. 195195II. 181181III. 120120IV. 891891 |
| A. | nly I and II |
| B. | nly II and III |
| C. | nly I and IV |
| D. | nly II and IV |
| E. | ll are divisible |
| Answer» F. | |
| 1229. |
The number 534677 is divisible by 777. The difference of divisor and remainder is : |
| A. | 77 |
| B. | 76 |
| C. | 87 |
| D. | 89 |
| Answer» C. 87 | |
| 1230. |
What is 348 times 265 ? |
| A. | 8740 |
| B. | 9750 |
| C. | 2220 |
| D. | 5700 |
| Answer» D. 5700 | |
| 1231. |
The least number more than 5000 which is divisible by 73 is - |
| A. | 009 |
| B. | 037 |
| C. | 073 |
| D. | 099 |
| Answer» C. 073 | |
| 1232. |
For the integer n, if n3 is odd, then which of the following statements are true ?I. n is oddII. n2 is oddIII. n2 is even |
| A. | only |
| B. | I only |
| C. | and II only |
| D. | and III only |
| Answer» D. and III only | |
| 1233. |
When a certain positive integer P is divided by another positive integer, the remainder is $${r_{1}}$$ . When a second positive integer Q is divided by the same integer, the remainder is $${r_{2}}$$ and when (P + Q) is divided by the same divisor, the remainder is $${r_{3}}$$ . Then the divisor may be : |
| A. | ${r_{1}}$$$${r_{2}}$$$${r_{3}}$$ |
| B. | ${r_{1}}$$ + $${r_{2}}$$ - $${r_{3}}$$ |
| C. | ${r_{1}}$$ - $${r_{2}}$$ + $${r_{3}}$$ |
| D. | ${r_{1}}$$ + $${r_{2}}$$ - $${r_{3}}$$ |
| Answer» E. | |
| 1234. |
Which of the following numbers is divisible by 3, 7, 9 and 11 ? |
| A. | 39 |
| B. | 079 |
| C. | 791 |
| D. | 7911 |
| Answer» C. 791 | |
| 1235. |
P and Q are two positive integers such that PQ = 64. Which of the following cannot be the value of P + Q = ? |
| A. | 6 |
| B. | 1 |
| C. | 5 |
| D. | 5 |
| Answer» D. 5 | |
| 1236. |
While writing all the numbers from 700 to 1000, how many numbers occur in which the first digits greater than the second digit, and the second digit is greater than the third digit ? |
| A. | 1 |
| B. | 4 |
| C. | 8 |
| D. | 5 |
| Answer» E. | |
| 1237. |
287 × 287 + 269 × 269 - 2 × 287 × 269 = ? |
| A. | 34 |
| B. | 46 |
| C. | 54 |
| D. | 24 |
| Answer» E. | |
| 1238. |
What is sum of all natural numbers from 1 to 100 ? |
| A. | 050 |
| B. | 000 |
| C. | 000 |
| D. | 052 |
| Answer» B. 000 | |
| 1239. |
If a number is divisible by both 11 and 13, then it must be necessarily : |
| A. | 29 |
| B. | ivisible by (11 × 13) |
| C. | ivisible by (11 + 13) |
| D. | ivisible by (13 - 11) |
| Answer» C. ivisible by (11 + 13) | |
| 1240. |
$$\sqrt 2 $$is a/an - |
| A. | ational number |
| B. | atural number |
| C. | rrational number |
| D. | nteger |
| Answer» D. nteger | |
| 1241. |
Among the following statements, the statement which is not correct is : |
| A. | very natural number is an integer. |
| B. | very natural number is a real number. |
| C. | very real number is a rational number. |
| D. | very integer is a rational number. |
| Answer» D. very integer is a rational number. | |
| 1242. |
The smallest prime number, that is the fifth term of an increasing arithmetic sequence in which all the four preceding terms are also prime, is - |
| A. | 7 |
| B. | 9 |
| C. | 7 |
| D. | 3 |
| Answer» C. 7 | |
| 1243. |
A number is multiplied by 11 and 11 is added to the product. If the resulting number is divisible by 13, the smallest originalnumber is = ? |
| A. | 2 |
| B. | 2 |
| C. | 6 |
| D. | 3 |
| Answer» B. 2 | |
| 1244. |
All natural numbers and 0 are called the ..... numbers. |
| A. | ational |
| B. | nteger |
| C. | hole |
| D. | rime |
| Answer» D. rime | |
| 1245. |
The value of $$\left( {99\frac{{95}}{{99}}} \right) \times 99$$is : |
| A. | 798 |
| B. | 997 |
| C. | 898 |
| D. | 896 |
| Answer» E. | |
| 1246. |
The product of two positive numbers is 11520 and their quotient is $$\frac{9}{5}$$. Find the difference between two numbers. |
| A. | 0 |
| B. | 4 |
| C. | 4 |
| D. | 0 |
| Answer» C. 4 | |
| 1247. |
Largest fraction among $$\frac{2}{5},$$ $$\frac{5}{6},$$ $$\frac{{11}}{{15}}$$ and $$\frac{7}{8}$$ is : |
| A. | $\frac{7}{8}$$ |
| B. | $\frac{{11}}{{15}}$$ |
| C. | $\frac{5}{6}$$ |
| D. | $\frac{2}{5}$$ |
| Answer» B. $\frac{{11}}{{15}}$$ | |
| 1248. |
Which of the following is the largest fraction ? $${\text{ }}\frac{6}{7},$$ $$\frac{5}{6},$$ $$\frac{7}{8},$$ $$\frac{4}{5}$$ |
| A. | $\frac{6}{7}$$ |
| B. | $\frac{4}{5}$$ |
| C. | $\frac{5}{6}$$ |
| D. | $\frac{7}{8}$$ |
| Answer» E. | |
| 1249. |
Symbiosis runs a Corporate Training Programme. At the end of running the first programme, its total takings were Rs. 38950. There were more than 45 but less than 100 participants. What was the participant fee for the programme ? |
| A. | s. 410 |
| B. | s. 450 |
| C. | s. 500 |
| D. | s. 510 |
| Answer» B. s. 450 | |
| 1250. |
A person gives $$\frac{1}{4}$$ of his property to his daughter, $$\frac{1}{2}$$ to his sons and $$\frac{1}{5}$$ for charity. How much has he given away ? |
| A. | $\frac{1}{20}$$ |
| B. | $\frac{19}{20}$$ |
| C. | $\frac{1}{10}$$ |
| D. | $\frac{9}{10}$$ |
| Answer» C. $\frac{1}{10}$$ | |