MCQOPTIONS
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MCQOPTIONS
This section includes 402 Mcqs, each offering curated multiple-choice questions to sharpen your Arithmetic Ability knowledge and support exam preparation. Choose a topic below to get started.
| 101. |
A fraction becomes $$\frac{1}{6}$$ when 4 is subtracted from its numerator and 1 is added to its denominator. If 2 and 1 are respectively added to its numerator and the denominator, it becomes $$\frac{1}{3}$$. Then, the LCM of the numerator and denominator of the said fraction, must be=? |
| A. | 4 |
| B. | 50 |
| C. | |
| Answer» B. 50 | |
| 102. |
If x:y be the ratio of two whole numbers and z be their HCF, then the LCM of those two number is = ? |
| A. | $yz$$ |
| B. | $\frac{{xz}}{y}$$ |
| C. | $\frac{{xy}}{z}$$ |
| D. | $xyz$$ |
| Answer» E. | |
| 103. |
What is the least natural number which leaves no remainders when divided by all the digits from 1 to 9 ? |
| A. | 800 |
| B. | 920 |
| C. | 520 |
| D. | 040 |
| Answer» D. 040 | |
| 104. |
Find the greatest number that will divide 964, 1238 and 1400 leaving remainders 41, 31, and 51 respectively=? |
| A. | 1 |
| B. | 1 |
| C. | 3 |
| D. | 1 |
| Answer» C. 3 | |
| 105. |
If HCF of p and q is x and q = xy, then the LCM of p and q is=? |
| A. | q |
| B. | y |
| C. | y |
| D. | y |
| Answer» E. | |
| 106. |
The largest 4-digit number exactly divisible by each of 12, 15, 18 and 27 is? |
| A. | 690 |
| B. | 720 |
| C. | 930 |
| D. | 960 |
| Answer» C. 930 | |
| 107. |
The LCM of two numbers is 20 times their HCF. The sum of HCF ans LCM is 2520. If one of the number 480, the other number is= ? |
| A. | 00 |
| B. | 80 |
| C. | 20 |
| D. | 00 |
| Answer» E. | |
| 108. |
What is the least number which when divided by the number 3, 5, 6, 8, 10 and 12 leaves in each case a remainder 2 but when divided by 22 leaves no remainder ? |
| A. | 12 |
| B. | 42 |
| C. | 562 |
| D. | 586 |
| Answer» C. 562 | |
| 109. |
If the product of two numbers is 324 and their HCF is 3, then their LCM will be=? |
| A. | 72 |
| B. | 27 |
| C. | 21 |
| D. | 08 |
| Answer» E. | |
| 110. |
Find the largest number of four digits such that on dividing by 15, 18, 21 and 24 the remainders are 11, 14, 17 and 20 respectively. |
| A. | 557 |
| B. | 556 |
| C. | 675 |
| D. | 664 |
| Answer» C. 675 | |
| 111. |
The H.C.F of 4 × 27 × 3125, 8 × 9 × 25 × 7 and 16 × 81 × 5 × 11 × 49 is = ? |
| A. | 80 |
| B. | 60 |
| C. | 40 |
| D. | 260 |
| Answer» B. 60 | |
| 112. |
The H.C.F of 24 × 32 × 53 × 7, 23 × 33 × 52 × 72 and 3 × 5 × 7 × 11 is = ? |
| A. | 05 |
| B. | 155 |
| C. | 310 |
| D. | 7720 |
| Answer» B. 155 | |
| 113. |
Find the greatest number of five digits which when divided by 3, 5, 8, 12 leaves 2 as remainder ? |
| A. | 9999 |
| B. | 9948 |
| C. | 9962 |
| D. | 9722 |
| Answer» D. 9722 | |
| 114. |
The HCF of two number 12906 and 14818 is 478. Their LCM is ? |
| A. | 00086 |
| B. | 00043 |
| C. | 00129 |
| D. | 00172 |
| Answer» B. 00043 | |
| 115. |
The LCM of two numbers is 1820 and their HCF is 26. If one number is 130 then the other number is ? |
| A. | 0 |
| B. | 690 |
| C. | 64 |
| D. | 264 |
| Answer» D. 264 | |
| 116. |
The simplest reduction to the lowest terms of $$\frac{{116690151}}{{427863887}}$$is=? |
| A. | $\frac{{3}}{{11}}$$ |
| B. | $\frac{{7}}{{11}}$$ |
| C. | $\frac{{11}}{{3}}$$ |
| D. | one of these |
| Answer» B. $\frac{{7}}{{11}}$$ | |
| 117. |
The LCM and the HCF of the numbers 28 and 42 are in the ratio ? |
| A. | : 1 |
| B. | : 3 |
| C. | : 2 |
| D. | : 2 |
| Answer» B. : 3 | |
| 118. |
The HCF of two numbers is 8. Which one of the following can never be their LCM ? |
| A. | 4 |
| B. | 8 |
| C. | 6 |
| D. | 0 |
| Answer» E. | |
| 119. |
The LCM of two numbers is 495 and their HCF is 5. If the sum of the numbers is 100, then their difference is=? |
| A. | 0 |
| B. | 6 |
| C. | 0 |
| D. | 0 |
| Answer» B. 6 | |
| 120. |
LCM of 0.12, 0.15, 0.2 and 0.54? |
| A. | 2.8 |
| B. | 5.4 |
| C. | 7.8 |
| D. | 9.2 |
| Answer» C. 7.8 | |
| 121. |
What is the least number of that is exactly divisible by 4, 12, 15, and 18? |
| A. | 60 |
| B. | 110 |
| C. | 150 |
| D. | 180 |
| Answer» E. | |
| 122. |
Find the greatest number that will divide 172, 205 and 304 so as to leave the same remainder in each case? |
| A. | 33 |
| B. | 66 |
| C. | 99 |
| D. | None of these |
| Answer» B. 66 | |
| 123. |
Find the greatest number that will divide 147,185 and 251 leaving the remainders 3,5 and 11 respectively. |
| A. | 11 |
| B. | 12 |
| C. | 13 |
| D. | 14 |
| Answer» C. 13 | |
| 124. |
In a school, the number of students in Sections A , B and C of 10th class are 70,98 and 126 respectively. Due to overload of student in each class , the administration wants to increase the number roo |
| A. | 14 |
| B. | 17 |
| C. | 21 |
| D. | 28 |
| Answer» D. 28 | |
| 125. |
What is the side of the largest possible square brick which can be paved on the floor of a room 4m 96cm long and 4m 3cm broad? |
| A. | 9 cm |
| B. | 16 cm |
| C. | 25 cm |
| D. | 31 cm |
| Answer» E. | |
| 126. |
Find the HCF of of 0.36, 0.48, 0.72 and 2.4 |
| A. | 0.4 |
| B. | 0.8 |
| C. | 0.12 |
| D. | 0.16 |
| Answer» D. 0.16 | |
| 127. |
Express 1168/1095 in simple form? |
| A. | 16/15 |
| B. | 17/16 |
| C. | 18/17 |
| D. | 19/18 |
| Answer» B. 17/16 | |
| 128. |
The traffic lights at three different road crossings change after every 48 sec., 72 sec and 108 sec.respectively .If they all change simultaneously at 8:20:00 hours,then at what time they again change |
| A. | 7:25:14 hrs |
| B. | 8:27:12 hrs |
| C. | 9:22:08 hrs |
| D. | 10:13:17 hrs |
| Answer» C. 9:22:08 hrs | |
| 129. |
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. | 1683 |
| B. | 2683 |
| C. | 3683 |
| D. | 4683 |
| Answer» B. 2683 | |
| 130. |
Find the least number which when divided by 20,25,35 and 40 leaves remainders 14,19,29 and 34 respectively. |
| A. | 1194 |
| B. | 1294 |
| C. | 1394 |
| D. | 1494 |
| Answer» D. 1494 | |
| 131. |
Find the smallest number of five digits exactly divisible by 16,24,36 and 54. |
| A. | 10268 |
| B. | 10368 |
| C. | 10468 |
| D. | 10568 |
| Answer» C. 10468 | |
| 132. |
Find the largest number of four digits exactly divisible by 12,15,18 and 27. |
| A. | 6720 |
| B. | 7720 |
| C. | 8720 |
| D. | 9720 |
| Answer» E. | |
| 133. |
Find the least number which when divided by 6,7,8,9, and 12 leave the same remainder 1 each case |
| A. | 404 |
| B. | 505 |
| C. | 606 |
| D. | 707 |
| Answer» C. 606 | |
| 134. |
Find the largest number which divides 62, 132 and 237 to leave the same remainder in each case. |
| A. | 22 |
| B. | 35 |
| C. | 48 |
| D. | 52 |
| Answer» C. 48 | |
| 135. |
Find the greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively. |
| A. | 127 |
| B. | 221 |
| C. | 379 |
| D. | 445 |
| Answer» B. 221 | |
| 136. |
Find the greatest possible length which can be used to measure exactly the lengths 4 m 95 cm, 9 m and 16 m 65 cm. |
| A. | 25 cm |
| B. | 35 cm |
| C. | 45 cm |
| D. | 55 cm |
| Answer» D. 55 cm | |
| 137. |
The H.C.F. of two numbers is 11 and their L.C.M. is 693. If one of the numbers is 77,find the other. |
| A. | 79 |
| B. | 89 |
| C. | 99 |
| D. | 109 |
| Answer» D. 109 | |
| 138. |
Two numbers are in the ratio of 15:11. If their H.C.F. is 13, find the numbers. |
| A. | 95, 43 |
| B. | 195, 143 |
| C. | 295, 243 |
| D. | 395, 343 |
| Answer» C. 295, 243 | |
| 139. |
Find the L.C.M. of 16, 24, 36 and 54. |
| A. | 189 |
| B. | 228 |
| C. | 321 |
| D. | 432 |
| Answer» E. | |
| 140. |
Find the least multiple of 23, which when divided by 18, 21 and 24 leaves remainders 7, 10 and 13 respestively. |
| A. | 3002 |
| B. | 3013 |
| C. | 3024 |
| D. | 3036 |
| Answer» C. 3024 | |
| 141. |
The leas 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 | |
| 142. |
Find the least number which when divided by 16, 18, 20 and 2 leaves 4 as remainder in each case , but when divided by 7 leaves no. remainder |
| A. | 17004 |
| B. | 18000 |
| C. | 18002 |
| D. | 18004 |
| Answer» E. | |
| 143. |
Six belts commence tolling together and toll at 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. | |
| 144. |
A. B. and C. start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds.all starting at the same point. |
| A. | 26 minutes 18 seconds |
| B. | 42 minutes 36 seconds |
| C. | 45 minutes |
| D. | 46 minutes 12 seconds. |
| Answer» E. | |
| 145. |
The least number, which when divided by 12, 15, 20 and 54 leaves in each case a remainder of 8 is |
| A. | 504 |
| B. | 536 |
| C. | 544 |
| D. | 548 |
| Answer» E. | |
| 146. |
The largest four- digit number which when divided by 4, 7, or 13 leaves a remainder of 3 in each case is |
| A. | 8739 |
| B. | 9831 |
| C. | 9834 |
| D. | 9893 |
| Answer» C. 9834 | |
| 147. |
Let the leas number of six digits. which when divided by 4, 6, 10 and 15 leaves in each case the same remainder of 2 be N. The sum of the digits in N is |
| A. | 3 |
| B. | 4 |
| C. | 5 |
| D. | 6 |
| Answer» D. 6 | |
| 148. |
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. | |
| 149. |
The least number, which when divided by 48, 60, 72, 108 and 140 leaves 38, 0, 62,98 and 130 as remainders respectively is . |
| A. | 11115 |
| B. | 15110 |
| C. | 15120 |
| D. | 15210 |
| Answer» C. 15120 | |
| 150. |
Find the L.C.M.. of 72, 108 and 2100. |
| A. | 37000 |
| B. | 37800 |
| C. | 38000 |
| D. | 38600 |
| Answer» C. 38000 | |