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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.
| 1401. |
The numerator and denominator of a fraction are in the ratio 3 : 4. If 9 is subtracted from the numerator, the resulting fraction in $$\frac{2}{3}$$ of the original fraction. The numerator of the original fraction is |
| A. | 7 |
| B. | 8 |
| C. | 6 |
| Answer» B. 8 | |
| 1402. |
An even number can be expressed as the square of an integer as well as cube of another integer. Then the number has to be necessarily divisible by? |
| A. | 2 |
| B. | 4 |
| C. | 28 |
| D. | oth (1) and (2) |
| Answer» C. 28 | |
| 1403. |
A certain number of the capsule were purchased for Rs. 176. Sixmore capsule could have been purchased in the same amount if each capsule were cheaper by Rs. 3. What was the number of capsules purchased? |
| A. | 3 |
| B. | 6 |
| C. | 7 |
| D. | |
| Answer» C. 7 | |
| 1404. |
If x : y be the ratio of two whole numbers and z be their HCF, then the LCM of those two numbers is: |
| A. | ${\text{yz}}$$ |
| B. | $\frac{{{\text{xz}}}}{{\text{y}}}$$ |
| C. | $\frac{{{\text{xy}}}}{{\text{z}}}$$ |
| D. | ${\text{xyz}}$$ |
| Answer» E. | |
| 1405. |
Ram left $$\frac{1}{3}$$ of his property to his widow and $$\frac{3}{5}$$ of the remainder to his daughter. He gave the rest to his son who received Rs. 6,400. How much was his original property worth? |
| A. | s. 16,000 |
| B. | s. 24,000 |
| C. | s. 30,000 |
| D. | s. 32,000 |
| Answer» C. s. 30,000 | |
| 1406. |
A teacher wants to arrange his students in an equal number of rows and columns. If there are 1369 students, the number of students in last row are: |
| A. | 7 |
| B. | 3 |
| C. | 3 |
| D. | 7 |
| Answer» B. 3 | |
| 1407. |
The HCF and LCM of two numbers are 44 and 264 respectively. If the first number is divided by 2, the quotient is 44. The other number is: |
| A. | 47 |
| B. | 28 |
| C. | 32 |
| D. | 64 |
| Answer» D. 64 | |
| 1408. |
The sum and products of two numbers are 12 and 35 respectively. The sum of their reciprocals will be: |
| A. | $\frac{1}{3}$$ |
| B. | $\frac{1}{5}$$ |
| C. | $\frac{{12}}{{35}}$$ |
| D. | $\frac{{35}}{{12}}$$ |
| Answer» D. $\frac{{35}}{{12}}$$ | |
| 1409. |
Three numbers which are co-prime to one another are such that the product of the first two is 551 and that of last two is 1073. The sum of the three numbers is: |
| A. | 5 |
| B. | 1 |
| C. | 5 |
| D. | 9 |
| Answer» D. 9 | |
| 1410. |
5(x + 3) = 25(3x - 4), then find the value of x |
| A. | $\frac{{11}}{5}$$ |
| B. | $\frac{5}{{11}}$$ |
| C. | $\frac{{13}}{5}$$ |
| D. | $\frac{5}{{13}}$$ |
| Answer» B. $\frac{5}{{11}}$$ | |
| 1411. |
What is the least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder? |
| A. | 108 |
| B. | 683 |
| C. | 007 |
| D. | 363 |
| Answer» C. 007 | |
| 1412. |
Six bells start ringing together and ring at intervals of 4, 8, 10, 12, 15 and 20 seconds respectively. how many times will they ring together in 60 minutes ? |
| A. | 1 |
| B. | 5 |
| C. | 6 |
| D. | 0 |
| Answer» B. 5 | |
| 1413. |
What is the least number when divided by 8, 12, 20 and 30 leaves a remainder 4 and when divided by 21 leaves a remainder 7 ? |
| A. | 24 |
| B. | 60 |
| C. | 64 |
| D. | annot be determined |
| Answer» D. annot be determined | |
| 1414. |
The number of prime factors in the expressions 64 × 86 × 108 × 1210 is: |
| A. | 0 |
| B. | 4 |
| C. | 2 |
| D. | 8 |
| Answer» D. 8 | |
| 1415. |
The HCF of 2472, 1284 and a third number 'N' is 12. If their LCM is 23 × 32 × 5 × 103 × 107, then the number 'N' is: |
| A. | 2 × 32 × 7 |
| B. | 2 × 33 × 10 |
| C. | 2 × 32 × 5 |
| D. | one of these |
| Answer» E. | |
| 1416. |
Which among $${2^{\frac{1}{2}}}$$, $${3^{\frac{1}{3}}}$$, $${4^{\frac{1}{4}}}$$, $${6^{\frac{1}{6}}}$$ and $${12^{\frac{1}{{12}}}}$$ is largest? |
| A. | ${2^{\frac{1}{2}}}$$ |
| B. | ${3^{\frac{1}{3}}}$$ |
| C. | ${4^{\frac{1}{4}}}$$ |
| D. | ${12^{\frac{1}{{12}}}}$$ |
| Answer» C. ${4^{\frac{1}{4}}}$$ | |
| 1417. |
The greatest number, which when subtracted from 5834, gives a number exactly divisible by each of 20, 28, 32, 35 is. |
| A. | 120 |
| B. | 714 |
| C. | 200 |
| D. | 600 |
| Answer» C. 200 | |
| 1418. |
Two numbers are in the ratio 3 : 4. If their LCM is 240, the smaller of two number is |
| A. | 00 |
| B. | 0 |
| C. | 0 |
| D. | 0 |
| Answer» D. 0 | |
| 1419. |
$$\frac{{\left[ {\left( {888 \times 888 \times 888} \right) - \left( {222 \times 222 \times 222} \right)} \right]}}{{\left[ {\left( {888 \times 888} \right) + \left( {888 \times 222} \right) + \left( {222 \times 222} \right)} \right]} }=\, ?$$ |
| A. | 77 |
| B. | 88 |
| C. | 010 |
| D. | 66 |
| Answer» E. | |
| 1420. |
A boy appeared in CAT for four consecutive year years, but coincidentally each time his net score was 75. He told me that there was $$\frac{1}{3}$$rd negative marking for every wrong answer and 1 mark was allotted for every correct answer. He has attempted all the questions every year, but certainly some answers have been wrong due conceptual problem. Which is not the total number of questions asked for CAT in any year, in that period? |
| A. | 31 |
| B. | 63 |
| C. | 50 |
| D. | 23 |
| E. | one of these |
| Answer» D. 23 | |
| 1421. |
A young girl counted in the following way on the fingers of her left hand. She startedcalling the thumb 1, the index finger 2, middle finger 3, ring finger 4, little finger 5, then reversed direction, calling the ring finger 6, middle finger 7, index finger 8, thumb 9 and then back to the index finger for 10, middle finger for 11 and so on. She counted up 1994. She ended on her |
| A. | humb |
| B. | ndex finger |
| C. | iddle finger |
| D. | ing finger |
| E. | ittle finger |
| Answer» D. ing finger | |
| 1422. |
The owner of a local jewellery store hired 3 watchmen to guard his diamonds, but a thief still got in and stole some diamonds. On the way out, the thief met each watchman, one at a time. To each he gave $$\frac{1}{2}$$ of the diamonds he had then and 2 more besides. He escaped with one diamond. How many did he steal originally? |
| A. | 6 |
| B. | 5 |
| C. | 40 |
| D. | one of these |
| Answer» B. 5 | |
| 1423. |
The last three-digits of the multiplication 12345 × 54321 will be |
| A. | 65 |
| B. | 45 |
| C. | 45 |
| D. | 45 |
| E. | 75 |
| Answer» C. 45 | |
| 1424. |
Three friends, returning from a movie, stopped to eat at a restaurant. After dinner, they paid their bill and noticed a bowl of mints at the front counter. Sita took $$\frac{1}{3}$$ of the mints, but returned four because she had a monetary pang of guilt. Fatima then took $$\frac{1}{4}$$ of what was left but returned three for similar reasons. Eswari then took half of the remainder but threw two back into the bowl. The bowl had only 17 mints left when the raid was over. How many mints were originally in the bowl? |
| A. | 8 |
| B. | 1 |
| C. | 1 |
| D. | one of these |
| Answer» E. | |
| 1425. |
If 146 Is divisible by 5n, and then find the maximum value of n. |
| A. | 4 |
| B. | 5 |
| C. | 6 |
| D. | 7 |
| E. | annot be said |
| Answer» C. 6 | |
| 1426. |
What is the least number of soldiers that can be drawn up in troops of 12, 15, 18 and 20 soldiers and also in form of a solid square? |
| A. | 00 |
| B. | 00 |
| C. | 600 |
| D. | 500 |
| Answer» B. 00 | |
| 1427. |
Three numbers are in ratio 1 : 2 : 3 and HCF is 12. The numbers are: |
| A. | 2, 24, 36 |
| B. | 1, 22, 33 |
| C. | 2, 24, 32 |
| D. | , 10, 15 |
| Answer» B. 1, 22, 33 | |
| 1428. |
Find the remainder when 73 × 75 × 78 × 57 × 197 × 37 is divided by 34. |
| A. | 2 |
| B. | 0 |
| C. | 5 |
| D. | 8 |
| Answer» B. 0 | |
| 1429. |
If 43P45 is divisible by 9 then, find the value of P. |
| A. | 2 |
| B. | 7 |
| C. | 5 |
| D. | 6 |
| Answer» B. 7 | |
| 1430. |
Let x and y be positive real numbers such that log5 (x + y) + log5 (x - y) = 3, and log2 y - log2 x = 1 - log2 3. Then xy equals |
| A. | 25 |
| B. | 150 |
| C. | 100 |
| D. | 250 |
| Answer» C. 100 | |
| 1431. |
Find the value of 1093 ∗ 1093.A. 1194649B. 1162481C. 1424649D. 1428481 |
| A. | D |
| B. | C |
| C. | B |
| D. | A |
| Answer» E. | |
| 1432. |
A telephone bill costs Rs. 25.50 for 3 minutes 20 seconds. What is the cost, in rupees, for 5 minutes 30 seconds? (Round up to one decimal) |
| A. | 42.1 |
| B. | 58.7 |
| C. | 58.5 |
| D. | 58.8 |
| Answer» B. 58.7 | |
| 1433. |
If three times of the first of the three consecutive odd integers is 3 more than twice the third, what is the third integer? |
| A. | 15 |
| B. | 11 |
| C. | 9 |
| D. | 5 |
| Answer» B. 11 | |
| 1434. |
Identify the LCM of the number 32, 16 and 9 among the options. |
| A. | 32 |
| B. | 9 |
| C. | 288 |
| D. | 114 |
| Answer» D. 114 | |
| 1435. |
225 + 226 + 227 is divisible by: |
| A. | 9 |
| B. | 6 |
| C. | 5 |
| D. | 7 |
| Answer» E. | |
| 1436. |
A frog tries to come out of a dried well 4.5 m deep with slippery walls. Every time the frog jumps 30 cm, slides down 15 cm. What is the number of jumps required for the frog to come out of the well? |
| A. | 28 |
| B. | 29 |
| C. | 30 |
| D. | 31 |
| Answer» C. 30 | |
| 1437. |
How many numbers are completely divisible by 175 in the following numbers:-500, 875, 1575, 1915, 2625, 2850, 3325, 4335A. 4B. 5C. 6D. 7 |
| A. | D |
| B. | B |
| C. | A |
| D. | C |
| Answer» D. C | |
| 1438. |
How many numbers from 0 to 999 are not divisible by either 5 or 7? |
| A. | 313 |
| B. | 341 |
| C. | 686 |
| D. | 786 |
| Answer» D. 786 | |
| 1439. |
Let d be the difference between the least 5-digit number and the greatest 4-digit number whose HCF is 163. What will be the LCM of 815, 3d and 326? |
| A. | 1630 |
| B. | 2445 |
| C. | 4890 |
| D. | 3260 |
| Answer» D. 3260 | |
| 1440. |
Find the difference between the smallest number of five digits and greatest number of four digits? |
| A. | 3 |
| B. | 2 |
| C. | 0 |
| D. | 1 |
| Answer» E. | |
| 1441. |
Find the least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder. |
| A. | 1677 |
| B. | 1683 |
| C. | 2523 |
| D. | 3363 |
| Answer» C. 2523 | |
| 1442. |
A sports accessories shop organises a running event for kids with an entry fee of Rs. 200 to be registered on the spot. They were expecting 300 entries, and on the event’s day, only 200 turned up. How much less money did they receive in the entry compared with their initial expectation of 300 entries? |
| A. | Rs. 20,000 |
| B. | Rs. 15,000 |
| C. | Rs. 5,000 |
| D. | Rs. 12,000 |
| Answer» B. Rs. 15,000 | |
| 1443. |
A number when divided by 16 leaves remainder 8. What is the remainder when the same number is divided by 8? |
| A. | 0 |
| B. | 2 |
| C. | 6 |
| D. | 4 |
| Answer» B. 2 | |
| 1444. |
How many numbers between 800 to 2000 are divisible by 13? |
| A. | 90 |
| B. | 92 |
| C. | 93 |
| D. | 91 |
| Answer» C. 93 | |
| 1445. |
If x + 9y is divisible by 5, where x and y are integers, then what is the remainder when 8x + 7y is divided by 5? |
| A. | 2 |
| B. | 3 |
| C. | 1 |
| D. | 0 |
| Answer» E. | |
| 1446. |
Find a, if 8a = 352 - 272. |
| A. | 62 |
| B. | 56 |
| C. | 61 |
| D. | 52 |
| Answer» B. 56 | |
| 1447. |
Find the greatest number which divides 56, 126 and 176 and then leaves the same remainder in each case. |
| A. | 126 |
| B. | 56 |
| C. | 10 |
| D. | 12 |
| Answer» D. 12 | |
| 1448. |
If a nine-digit number 785x3678y is divisible by 72, then the value of (7x – 5y) is: |
| A. | 22 |
| B. | 20 |
| C. | 14 |
| D. | 25 |
| Answer» B. 20 | |
| 1449. |
Express 0. 222... as a fraction. |
| A. | 2/9 |
| B. | 1/5 |
| C. | 1/12 |
| D. | 1/7 |
| Answer» B. 1/5 | |
| 1450. |
How many prime numbers are there between 50 and 100? |
| A. | 6 |
| B. | 10 |
| C. | 13 |
| D. | 5 |
| Answer» C. 13 | |