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question_answer1)
Two pipes of length 1.5 m and 1.2 m are to be cut into equal pieces without leaving any extra length of pipes. The greatest length of the pipe pieces of same size, which can be cut from these two lengths, will be [SSC CGL Tier II, 2017]
A)
0.13 m done
clear
B)
0.4 m done
clear
C)
0.3 m done
clear
D)
0.41 m done
clear
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question_answer2)
Three electronic devices make a beep after every 48 s, 72 s and 108 s, respectively. They beeped together at 10 a.m. The time when they will next make a beep together at the earliest is [SSC CGL Tier II, 2017]
A)
10 : 07: 12 h done
clear
B)
10 : 07 : 24 h done
clear
C)
10 : 07 : 36 h done
clear
D)
10 : 07 : 48 h done
clear
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question_answer3)
The HCF and LCM of two numbers are 21 and 84, respectively. If the ratio of the two numbers is 1 : 4, then the larger of the two numbers is [SSC CGL Tier II, 2015]
A)
48 done
clear
B)
12 done
clear
C)
84 done
clear
D)
108 done
clear
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question_answer4)
Let x be the least number, which when divided by 5, 6, 7 and 8 leaves a remainder 3 in each case but when divided by 9 leaves no remainder. The sum of digits of x is [SSC CGL Tier II, 2015]
A)
21 done
clear
B)
24 done
clear
C)
22 done
clear
D)
18 done
clear
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question_answer5)
Find the least number which when divided separately by 15, 20, 36 and 48 leaves 3 as remainder in each case. [SSC CGL Tier II, 2014]
A)
183 done
clear
B)
243 done
clear
C)
483 done
clear
D)
723 done
clear
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question_answer6)
If the LCM and HCF of two expressions are \[\text{(}{{x}^{2}}+6x+8)\text{(}x+1)\] and \[(x+1)\] respectively and one of the expression is \[{{x}^{2}}+3x+2\] find the Other. [SSC CGL Tier II, 2014]
A)
\[{{x}^{2}}+5x+4\] done
clear
B)
\[{{x}^{2}}-5x+4\] done
clear
C)
\[{{x}^{2}}+4x+5\] done
clear
D)
\[{{x}^{2}}-4x+5\] done
clear
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question_answer7)
Three men step off together from the same spot. Their steps measures 63 cm, 70 cm and 77 cm respectively. The minimum distance each should rover so that all can cover the distance in complete steps is [SSC CGL Tier II, 2014]
A)
9630 cm done
clear
B)
9360 cm done
clear
C)
6930 cm done
clear
D)
6950 cm done
clear
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question_answer8)
Find the greatest number which will exactly divide 200 and 320 [SSC CGL Tier II, 2014]
A)
10 done
clear
B)
20 done
clear
C)
16 done
clear
D)
40 done
clear
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question_answer9)
Two 3 digit numbers have their HCF 29 and LCM 4147. The sum of the numbers is
A)
666 done
clear
B)
669 done
clear
C)
696 done
clear
D)
966 done
clear
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question_answer10)
The ratio between two numbers is 2 : 3. If their LCM is 150, then the numbers are
A)
30, 40 done
clear
B)
48, 64 done
clear
C)
50, 75 done
clear
D)
None of these done
clear
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question_answer11)
If the students of 9th class are arranged in rows of 6, 8, 12 or 16, no student is left behind. Then, the possible number of Students in the class is
A)
60 done
clear
B)
72 done
clear
C)
80 done
clear
D)
96 done
clear
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question_answer12)
The greatest 4 digit number exactly divisible by 10, 15, 20 is
A)
9990 done
clear
B)
9960 done
clear
C)
9980 done
clear
D)
9995 done
clear
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question_answer13)
The product of two co-primes is 117. Their LCM should be
A)
1 done
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B)
117 done
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C)
equal to their HCM done
clear
D)
Cannot be calculated done
clear
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question_answer14)
Three numbers are in the ratio 3 : 4 : 5 and their LCM is 2400. Their HCF is
A)
0 done
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B)
80 done
clear
C)
120 done
clear
D)
200 done
clear
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question_answer15)
The maximum number of students among whom 1001 pens and 910 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils, is
A)
91 done
clear
B)
910 done
clear
C)
1001 done
clear
D)
1911 done
clear
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question_answer16)
The least number of square tiles required to pave the ceiling of a room 15 m 17 cm long and 9 m 2 cm broad, is
A)
656 done
clear
B)
738 done
clear
C)
814 done
clear
D)
902 done
clear
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question_answer17)
A bell rings every 5 min. A second bell rings every 6 min and if the two bells ring at the same time in the morning, then the next time they will ring together at
A)
8 : 30 o'clock done
clear
B)
9 : 00 o'clock done
clear
C)
10 : 00 o'clock done
clear
D)
12 : 00 o'clock done
clear
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question_answer18)
The traffic lights at three different road crossings change after every 48 s, 72 s and 108 s, respectively. If they all change simultaneously at 8:20 h, then at what time will they again change simultaneously?
A)
8 : 27: 12 h done
clear
B)
8 : 27 : 24 h done
clear
C)
8 : 27 : 36 h done
clear
D)
8 : 27 : 48 h done
clear
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question_answer19)
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 s, B in 308 sand C in 198 s, all starting at the same point. After what time will they meet again at the starting point?
A)
26 min 18 s done
clear
B)
42 min 36 s done
clear
C)
46 min 12 s done
clear
D)
45 min done
clear
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question_answer20)
A, B and C go walking round a circle 1 km in circumference at the rates of 10 m/min, 20 m/min and 40 m/min, respectively. If they all start together and walk in the same direction, when will they be together at the same place?
A)
After 50 min done
clear
B)
After 100 min done
clear
C)
After 240 min done
clear
D)
After 800 min done
clear
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question_answer21)
Three sets of English, Mathematics and Science books containing 336, 240 and 96 books respectively have to be stacked in such a way that all the books are stored subject wise and the height of each stack is the same. Total number of stacks will be
A)
14 done
clear
B)
21 done
clear
C)
22 done
clear
D)
48 done
clear
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question_answer22)
The largest number which divides 77, 147 and 252 to leave the same remainder in each case is
A)
9 done
clear
B)
15 done
clear
C)
25 done
clear
D)
35 done
clear
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question_answer23)
The greatest number which can divide 1354, 1866 and 2762 leaving the same remainder 10 in each case, is
A)
64 done
clear
B)
124 done
clear
C)
156 done
clear
D)
260 done
clear
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question_answer24)
The greatest number of 5 digits, which is divisible by 15, 36, 21 is
A)
99459 done
clear
B)
99540 done
clear
C)
99979 done
clear
D)
99999 done
clear
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question_answer25)
Which greatest number will divide 3026 and 5053 leaving remainders 11 and 13, respectively?
A)
15 done
clear
B)
30 done
clear
C)
45 done
clear
D)
60 done
clear
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question_answer26)
What is the least number which when divided by 12 leaves a remainder of 7; when divided by 15 leaves a remainder of 10 and when divided by 16 leaves a remainder of 11?
A)
115 done
clear
B)
235 done
clear
C)
247 done
clear
D)
475 done
clear
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question_answer27)
What is the least number which when diminished by 5, is divisible by each one of 21, 28, 36, 45?
A)
425 done
clear
B)
1259 done
clear
C)
1260 done
clear
D)
1265 done
clear
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question_answer28)
If three numbers are 2a, 5a and 7a, what will be their LCM?
A)
\[70a\] done
clear
B)
\[65a\] done
clear
C)
\[75a\] done
clear
D)
\[70{{a}^{3}}\] done
clear
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question_answer29)
Find the LCM of \[({{2}^{3}}\times 3\times {{5}^{2}}\times 7),\] \[({{2}^{4}}\times {{3}^{2}}\times 5\times {{7}^{2}}\times 11)\] and \[(2\times 33\times 54).\]
A)
\[{{2}^{4}}\times {{3}^{3}}\times {{5}^{4}}\] done
clear
B)
\[2\times 3\times 7\times 5\times 11\] done
clear
C)
\[{{2}^{4}}\times {{3}^{3}}\times {{5}^{4}}\times {{7}^{2}}\times 11\] done
clear
D)
\[{{2}^{4}}\times {{3}^{4}}\times {{5}^{4}}\times 7\] done
clear
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question_answer30)
Find the HCF of 132, 204 and 228.
A)
12 done
clear
B)
18 done
clear
C)
6 done
clear
D)
21 done
clear
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question_answer31)
GCD or HCF of \[{{(a+b-c)}^{6}}\] and \[{{(a+b-c)}^{4}}\] is
A)
\[{{(a+b-c)}^{6}}\] done
clear
B)
\[{{(a+b-c)}^{2}}\] done
clear
C)
\[{{(a+b-c)}^{10}}\] done
clear
D)
\[{{(a+b-c)}^{4}}\] done
clear
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question_answer32)
Find the LCM of \[\frac{1}{3},\]\[\frac{2}{9},\]\[\frac{5}{6}\] and \[\frac{4}{27}.\]
A)
\[\frac{1}{54}\] done
clear
B)
\[\frac{10}{27}\] done
clear
C)
\[\frac{20}{3}\] done
clear
D)
\[\frac{3}{20}\] done
clear
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question_answer33)
Find the LCM of \[({{x}^{4}}-1)\] and \[({{x}^{2}}-1)\]
A)
\[x-1\] done
clear
B)
\[{{x}^{2}}-1\] done
clear
C)
\[{{x}^{3}}-1\] done
clear
D)
\[{{x}^{4}}-1\] done
clear
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question_answer34)
Find the HCF of \[\frac{4}{5}\] and \[\frac{7}{15}.\]
A)
\[\frac{1}{13}\] done
clear
B)
\[\frac{1}{5}\] done
clear
C)
\[\frac{1}{15}\] done
clear
D)
\[\frac{1}{25}\] done
clear
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question_answer35)
The LCM of two numbers is 2376 while their HCF is 33. If one of the number is 297, then the other number is
A)
216 done
clear
B)
264 done
clear
C)
642 done
clear
D)
792 done
clear
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question_answer36)
If HCF of two numbers is 8, which of the following can never be their LCM?
A)
24 done
clear
B)
48 done
clear
C)
56 done
clear
D)
60 done
clear
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question_answer37)
The ratio of two numbers is 3 : 4 and their HCF is 4. What will be their LCM?
A)
12 done
clear
B)
16 done
clear
C)
24 done
clear
D)
48 done
clear
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question_answer38)
The HCF of three numbers is 23. If they are in the ratio of 1 : 2 : 3, then find the numbers.
A)
69, 15, 22 done
clear
B)
23, 46, 69 done
clear
C)
25, 31, 41 done
clear
D)
23, 21, 35 done
clear
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question_answer39)
The LCM of two numbers is 495 and their HCF is 5. If sum of the numbers is 100, then find the difference of the numbers.
A)
10 done
clear
B)
46 done
clear
C)
70 done
clear
D)
90 done
clear
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question_answer40)
The sum of two numbers is 1056 and their HCF is 66, find the number of such pairs.
A)
6 done
clear
B)
2 done
clear
C)
4 done
clear
D)
8 done
clear
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question_answer41)
Find the greatest number of 3 digits which when divided by 6, 9, 12 leaves 3 as remainder in each case.
A)
975 done
clear
B)
996 done
clear
C)
903 done
clear
D)
939 done
clear
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question_answer42)
Find the greatest number that divides 130, 305 and 245 leaving remainders 6, 9 and 17, respectively.
A)
4 done
clear
B)
5 done
clear
C)
14 done
clear
D)
24 done
clear
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question_answer43)
In a store, there are 345 L mustard oil, 120 L sunflower oil and 225 L soyabean oil. What will be the capacity of the largest container to measure the above three types of oil?
A)
8 L done
clear
B)
20 L done
clear
C)
23 L done
clear
D)
15 L done
clear
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