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MCQOPTIONS
This section includes 285 Mcqs, each offering curated multiple-choice questions to sharpen your Aptitude knowledge and support exam preparation. Choose a topic below to get started.
| 201. |
Three numbers are in the ratio of 3 : 4 : 5 and their LCM is 1200. Find the HCF of the numbers? |
| A. | 40 |
| B. | 30 |
| C. | 80 |
| D. | 20 |
| E. | None of the above |
| Answer» E. None of the above | |
| 202. |
Four numbers are in the ratio of 10 : 12 : 15 : 18. If their HCF is 3, then find their LCM. |
| A. | 420 |
| B. | 540 |
| C. | 620 |
| D. | 680 |
| E. | None of the above |
| Answer» C. 620 | |
| 203. |
If the HCF of a and b are 12 and a, b are positive integers and a > b > 12, then what will be the values of a and b? |
| A. | 12, 24 |
| B. | 24, 12 |
| C. | 24, 36 |
| D. | 36, 24 |
| Answer» E. | |
| 204. |
6 bells commence tolling together and toll of intervals are 2, 4, 6, 8, 10 and 12 s, respectively. In 1 h, how many times, do they toll together? |
| A. | 16 |
| B. | 32 |
| C. | 21 |
| D. | 35 |
| E. | None of the above |
| Answer» F. | |
| 205. |
The greatest possible length which can be used to measure exactly the lengths 7m, 3m 85cm, 12m 95 cm, is ? |
| A. | 15 cm |
| B. | 25 cm |
| C. | 35 cm |
| D. | 42 cm |
| Answer» D. 42 cm | |
| 206. |
The sum of two number is 216 and their H.C.F is 27. The numbers are ? |
| A. | 54, 162 |
| B. | 108, 108 |
| C. | 27, 189 |
| D. | None of these |
| Answer» D. None of these | |
| 207. |
Six bells commence tolling together and toll intervals of 2, 4, 6, 8, 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together ? |
| A. | 4 |
| B. | 10 |
| C. | 15 |
| D. | 16 |
| Answer» E. | |
| 208. |
The product of two-digit numbers is 2160 and their G.C.M is 12. The numbers are ? |
| A. | 72, 30 |
| B. | 36, 60 |
| C. | 96, 25 |
| D. | None of these |
| Answer» C. 96, 25 | |
| 209. |
The H.C.F of two number is 16 and their L.CM is 160. If one of the numbers is 32, then the other number is ? |
| A. | 48 |
| B. | 80 |
| C. | 96 |
| D. | 112 |
| Answer» C. 96 | |
| 210. |
The product of two numbers is 1600 and their H.C.F is 5. The L.C.M. of the numbers is ? |
| A. | 320 |
| B. | 1605 |
| C. | 1595 |
| D. | 8000 |
| Answer» B. 1605 | |
| 211. |
If the HCF of two positive integers is 26. Then their LCM cannot be ? |
| A. | 78 |
| B. | 104 |
| C. | 144 |
| D. | 234 |
| Answer» D. 234 | |
| 212. |
If the HCF of m and n is 1, then what are the HCF of m + n, m and HCF of m - n, n, respectively (where, m > n)? |
| A. | 2 and 1 |
| B. | 1 and 1 |
| C. | 1 and 2 |
| D. | Cannot be determined |
| Answer» C. 1 and 2 | |
| 213. |
The ratio of two numbers is 3 : 4 and their HCF is 4. What will be their LCM? |
| A. | 12 |
| B. | 16 |
| C. | 24 |
| D. | 48 |
| E. | None of the above |
| Answer» E. None of the above | |
| 214. |
For any integers a and b with HCF (a, b) = 1, what is HCF (a + b, a - b) equal to? |
| A. | It is always 1 |
| B. | It is always 2 |
| C. | Either 1 or 2 |
| D. | None of the above |
| Answer» D. None of the above | |
| 215. |
The sum of two numbers is 1056 and their HCF is 66, Find the Number of such pairs. |
| A. | 6 |
| B. | 2 |
| C. | 4 |
| D. | 8 |
| E. | None of the above |
| Answer» D. 8 | |
| 216. |
The HCF and LCM of two natural numbers are 12 and 72, respectively. What is the difference between the two numbers, if one of the number is 24? |
| A. | 12 |
| B. | 18 |
| C. | 21 |
| D. | 24 |
| Answer» B. 18 | |
| 217. |
How many numbers are there between 4000 and 6000 which are exactly divisible by 32, 40, 48 and 60? |
| A. | 2 |
| B. | 3 |
| C. | 4 |
| D. | 5 |
| Answer» D. 5 | |
| 218. |
If (x - 6) is the HCF of x |
| A. | 3 |
| B. | 5 |
| C. | 6 |
| D. | 8 |
| Answer» C. 6 | |
| 219. |
The HCF and LCM of two number are 21 and 4641, respectively. If one of the numbers lies between 200 and 300, then find the two numbers. |
| A. | 273, 363 |
| B. | 273, 359 |
| C. | 273, 361 |
| D. | 273, 357 |
| E. | None of the above |
| Answer» E. None of the above | |
| 220. |
If a and b are positive integers, then what is the value of (a / HCF (a,b) , b/HCF (a,b) )? |
| A. | a |
| B. | b |
| C. | 1 |
| D. | a/HCF (a,b) |
| Answer» D. a/HCF (a,b) | |
| 221. |
There are five hobby clubs in a college viz. photography, yachting, chess, electronics and gardening. The gardening group meets every second day, the electronics group meets every third day, the chess group meets every fourth day, the yachting group meets every fifth day and the photography group meets every sixth day. How many times do all the five groups meets on the same day within 180 days? |
| A. | 3 |
| B. | 5 |
| C. | 10 |
| D. | 18 |
| Answer» B. 5 | |
| 222. |
A, B and C start at the same time in the same direction to run around in 252s, B in 308s and C in 198s, all starting at the same point. After what time will they meet again at the starting point ? |
| A. | 26 min and 18s |
| B. | 42 min and 36s |
| C. | 45 min |
| D. | 46 min and 12s |
| Answer» E. | |
| 223. |
What is the LCM of (x |
| A. | (x + y + z) (x + y - z) (x - y + z) |
| B. | (x + y + z) (x - y - z) (x - y + z) |
| C. | (x + y + z) (x + y - z) (x - y - z) |
| D. | (x + y - z) (x - y - z) (x - y + z) |
| Answer» C. (x + y + z) (x + y - z) (x - y - z) | |
| 224. |
A, B, and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252s, B in 308s and C in 198s, all starting of the same point. After what time will they meet again at the string point ? |
| A. | 26 min and 18s |
| B. | 42 min and 36s |
| C. | 45 min |
| D. | 46 min and 12s |
| Answer» E. | |
| 225. |
The least number which when divided by 15, 27, 35 and 42, leaves in each case a remainder 7 is ? |
| A. | 1883 |
| B. | 1897 |
| C. | 1987 |
| D. | 2007 |
| Answer» C. 1987 | |
| 226. |
A man has four copper rods whose lengths are 52 m, 65 m, 78 m, 91 m, respectively. This man wants to cut pieces of same length from each of four rods. what is the least number of total pieces if he is to cut without any wastage ? |
| A. | 23 |
| B. | 24 |
| C. | 22 |
| D. | 20 |
| Answer» D. 20 | |
| 227. |
The least multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15 and 18 is ? |
| A. | 74 |
| B. | 94 |
| C. | 184 |
| D. | 364 |
| Answer» E. | |
| 228. |
The largest natural number, which exactly divides the products of any four consecutive natural numbers, is ? |
| A. | 6 |
| B. | 12 |
| C. | 24 |
| D. | 120 |
| Answer» D. 120 | |
| 229. |
The total number of prime factors of the products (8) |
| A. | 59 |
| B. | 98 |
| C. | 123 |
| D. | 138 |
| Answer» D. 138 | |
| 230. |
The traffic lights at three different road crossings changes after every 48 sec., 72 sec. and 108 sec. respectively. If they all change simultaneously at 8 : 20 : 00 hrs, then they will again change simultaneously at? |
| A. | 8 : 27 : 12 hrs. |
| B. | 8 : 27 : 24 hrs. |
| C. | 8 : 27 : 36 hrs. |
| D. | 8 : 27 : 48 hrs. |
| Answer» B. 8 : 27 : 24 hrs. | |
| 231. |
Four metal rods of lengths 78 cm, 104 cm, 117 cm and 169 cm are to be cut into parts of equal length. Each part must be as long as possible. What is the maximum number of pieces that can be cut? |
| A. | 27 |
| B. | 36 |
| C. | 43 |
| D. | 480 |
| Answer» C. 43 | |
| 232. |
A person has completely put each of three liquids 403 L of petrol, 456 L of diesel and 496 L of mobile oil in in bottles of equal size without mixing any of the above three types of liquids such that each bottle is completely filled. What is the least possible number of bottles required ? |
| A. | 34 |
| B. | 44 |
| C. | 46 |
| D. | None of these |
| Answer» C. 46 | |
| 233. |
30 pineapple trees, 45 orange tree and 60 mango trees have to be planted in rows such that each row contains the same number of trees of one variety only. What is minimum number number of row in which the trees may be planted ? |
| A. | 10 |
| B. | 15 |
| C. | 25 |
| D. | 9 |
| Answer» E. | |
| 234. |
If HCF of x |
| A. | 2 |
| B. | 3 |
| C. | 1 |
| D. | 4 |
| Answer» D. 4 | |
| 235. |
What is the um of the digits of the least number which when divided by 54 leaves 35 as remainder, when divided by 80 leaves 61 as remainder and when divided by 119 leaves 100 leaves 100 as remainder ? |
| A. | 21 |
| B. | 19 |
| C. | 23 |
| D. | 28 |
| Answer» E. | |
| 236. |
What is the sum of digits of the least number,which when divided by 52 leaves 33 as remainder, when divided by 78 leaves 59 as remainder and when divided by 117 leaves 98 as remainder ? |
| A. | 21 |
| B. | 27 |
| C. | 19 |
| D. | 36 |
| Answer» D. 36 | |
| 237. |
Find the greatest number that divides 130, 305 and 245 leaving remainders 6, 9 and 17, respectively? |
| A. | 4 |
| B. | 5 |
| C. | 14 |
| D. | 24 |
| E. | None of the above |
| Answer» B. 5 | |
| 238. |
The measuring rods are 64 cm, 80 cm and 96 cm in length. The least length of cloth that can be measured exact number of times using any one of the above rods bis ? |
| A. | 0.96 m |
| B. | 19.20 m |
| C. | 9.60 m |
| D. | 96.00 m |
| Answer» D. 96.00 m | |
| 239. |
Find the largest number which divides 1305, 4665 and 6905 leaving same remainder in each case. Also, find the common Remainder. |
| A. | 1210, 158 |
| B. | 1120, 158 |
| C. | 1120, 185 |
| D. | 1210, 185 |
| E. | None of the above |
| Answer» D. 1210, 185 | |
| 240. |
About the number of pairs which have 16 as their H.C.F and 136 as their L.C.M. We can definitely say that ? |
| A. | Only one such pair exists |
| B. | Only two such pair exists |
| C. | Many such pairs exists |
| D. | No such pair exists |
| Answer» E. | |
| 241. |
The least number, which when divided by 16, 18 and 21 leaves the remainder 3, 5 and 8 respectively, is ? |
| A. | 893 |
| B. | 992 |
| C. | 995 |
| D. | 1024 |
| Answer» D. 1024 | |
| 242. |
The greatest number of four digits which is divisible by each one of the numbers 12, 18 21 and 28 is ? |
| A. | 9848 |
| B. | 9864 |
| C. | 9828 |
| D. | 9636 |
| Answer» D. 9636 | |
| 243. |
The LCM and HCF of two number are 240 and 16, respectively,If the two numbers are in the ratio 3 : 5, the numbers are ? |
| A. | 24, 40 |
| B. | 21, 35 |
| C. | 36, 60 |
| D. | 48, 80 |
| Answer» E. | |
| 244. |
What are the values of c when the HCF of x |
| A. | +1 |
| B. | +2 |
| C. | +1 |
| D. | +4 |
| Answer» B. +2 | |
| 245. |
What is the greatest number that divides 263, 935 and 1383 leaving a remainder of 7 in each case ? |
| A. | 30 |
| B. | 31 |
| C. | 32 |
| D. | 35 |
| Answer» D. 35 | |
| 246. |
What least number must be subtracted from 1294 so that the remainder when divided by 9, 11, 13 will leave in each case the same remainder 6 ? |
| A. | 0 |
| B. | 1 |
| C. | 2 |
| D. | 3 |
| Answer» C. 2 | |
| 247. |
The least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder is ? |
| A. | 1677 |
| B. | 1683 |
| C. | 2523 |
| D. | 3363 |
| Answer» C. 2523 | |
| 248. |
The greatest number by which if 1657 and 2037 are divided the remainders will be 6 and 5 respectively, is ? |
| A. | 127 |
| B. | 235 |
| C. | 260 |
| D. | 305 |
| Answer» B. 235 | |
| 249. |
Six bell commence tolling together and toll at intervals of 5, 10, 15, 20, and 30 s, respectively. In 60 min, how many times do they toll together? |
| A. | 20 |
| B. | 15 |
| C. | 13 |
| D. | 11 |
| Answer» D. 11 | |
| 250. |
The number of prime factors in the expression (6) |
| A. | 54 |
| B. | 64 |
| C. | 71 |
| D. | 81 |
| Answer» C. 71 | |