1 .
The respective ratio between the present ages of Ram and Rakesh is 6 : 11. Four years ago, the ratio of the ages was 1 : 2 respectively. What will be Rakesh's age after five years ?
A.  45 years
B.  29 years
C.  49 years
D.  Cannot be determined
E.  None of these
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2 .
If the numerator of a fraction is increased by 150% and the denominator of the fraction is increased by 350%, the resultant fraction is $25 \over 51$, what is the original fraction ?
A.  $11 \over 17$
B.  $11 \over 15$
C.  $15 \over 17$
D.  $13 \over 15$
E.  None of these
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3 .
When 30% of one number is subtracted from another number, the second number reduces to its four-fifth. What is the ratio between the first and the second number respectively?
A.  4 : 7
B.  3 : 2
C.  2 : 3
D.  Cannot be detemined
E.  None of these
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4 .
If the numerator of a fraction is increased by 400% and the denominator is increased by 500%. The resultant fraction is $20 \over 27$. What was the original fraction ?
A.  $9 \over 8$
B.  $11 \over 12$
C.  $8 \over 9$
D.  Cannot be determined
E.  None of these
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5 .
The difference between the $3 \over 4$th of $4 \over 5$th of a number and $1 \over 6$th of $2 \over 5$th of the same number is 648. What is the number ?
A.  1110
B.  1215
C.  1325
D.  1440
E.  None of these
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6 .
If 3$4 \over 5$ is subtracted from 6$3 \over 5$ and difference is multiplied by 355 then what will be the final number ?
A.  1004
B.  884
C.  774
D.  994
E.  None of these
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7 .
If the numerator of a fraction is increased by 240% and the denominator of the fraction is decreased by 50%, the resultant fraction is 2$5 \over 6$. What is the original fraction ?
A.  $1 \over 4$
B.  $2 \over 3$
C.  $5 \over 12$
D.  $4 \over 11$
E.  None of these
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8 .
If the numerator of a fraction is increased by 200% and the denominator is increased by 300%, the resultant fraction is $15 \over 26$. What was the original fraction ?
A.  $8 \over 11$
B.  $10 \over 11$
C.  $9 \over 13$
D.  $10 \over 13$
E.  None of these
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9 .
Philip, Tom and Brad start jogging around a circular field and complete a single round in 18, 22 and 30 seconds respectively, In how much time, will they meet again at the starting point ?
A.  3 min 15 sec
B.  21 min
C.  16 min 30 sec
D.  12 min
E.  None of these
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10 .
Amit, Sucheta and Neeti start running around a circular track and complete one round in 18, 24 and 32 seconds respectively. In how many seconds will the three meet again at the starting point if they all have started running at the same time ?
A.  196
B.  288
C.  324
D.  Cannot be determined
E.  None of these
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11 .
The numbers 11284 and 7655, when divided by a certain number of three digits, leave the same remainder. Find that number of three digits.
A.  161
B.  171
C.  181
D.  191
E.  None of these
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12 .
The LCM of two numbers is 2079 and their HCF is 27. if one of the numbers is189, find the other
A.  273
B.  279
C.  297
D.  307
E.  None of these
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13 .
Find the least number which, when divided by 18, 24, 30 and 42, will leave in each case the same remainder 1.
A.  2521
B.  2556
C.  2456
D.  2473
E.  None of these
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14 .
Find the greatest number of six digits which, no being divided by 6, 7, 8, 9 and 10, leaves 4, 5, 6, 7 and 8 as remainder respectively.
A.  997918
B.  997919
C.  997914
D.  997916
E.  None of these
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15 .
what least number must be subtracted from 1936 so that the remainder when divided by 9, 10, 15 will leave in each case the same remainder 7?
A.  29
B.  39
C.  49
D.  59
E.  None of these
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16 .
What greatest number can be subtracted from 10,000 so that the remainder may be divisible by 32, 36, 48 and 54 ?
A.  9136
B.  9191
C.  9933
D.  9216
E.  None of these
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17 .
Find the least number which, when divided by 8, 12 and 16, leaves 3 as the remainder in each case; by 7 leaves no remainder.
A.  145
B.  147
C.  148
D.  157
E.  None of these
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18 .
Find the greatest number that will divide 55, 127 and 175 so as to leave the same remainder in each case.
A.  26
B.  24
C.  23
D.  29
E.  None of these
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19 .
What least number should be added to 3500 to make it exactly divisible by 42, 49, 56 and 63
A.  10
B.  18
C.  25
D.  28
E.  None of these
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20 .
Find the least number which, when divided by 72, 80 and 88, leaves the remainders 52, 60 and 68 respectively.
A.  7900
B.  7800
C.  7200
D.  7600
E.  None of these
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21 .
Find the greatest number of 4 digits which, when divided by 2, 3, 4, 5, 6 and 7, should leave remainder 1 in each case.
A.  9661
B.  9671
C.  9695
D.  9696
E.  None of these
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22 .
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 hrs, then at what time will they again change simultaneously?
A.  8 : 47 : 15
B.  8 : 27 : 12
C.  8 : 37 : 14
D.  8 : 57 : 12
E.  None of these
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23 .
The HCF and LCM of two numbers are 44 and 264 respectively. If the first number is devided by 2, the quotient is 44. What is the other number?
A.  108
B.  44
C.  124
D.  132
E.  None of these
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24 .
The product of two number is 2160 and their HCF is 12. Find the possible pairs of numbers
A.  1
B.  2
C.  3
D.  4
E.  None of these
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25 .
Find the greatest number of 4 digits and the least number of 5 digits that have 144 as their HCF.
A.  10080
B.  10980
C.  10008
D.  10990
E.  None of these
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26 .
Find the least number that, being increased by 8, is divisible by 32, 36 and 40.
A.  1432
B.  1492
C.  1472
D.  1570
E.  None of these
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27 .
Three bells toll at intervals of 9, 12 and 15 minutes respectively. All the three begin to toll at 8 a.m. At what time will they toll together again?
A.  8.45 am
B.  10.30 am
C.  11.00 am
D.  1.30 pm
E.  None of these
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28 .
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.  400
E.  402
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29 .
In a morning walk, three persons step off together, their steps measure 80 cm, 85 cm and 90 cm respectively. What is the minimum distance each should walk so that they can cover the distance in complete steps?
A.  122m 40 cm
B.  123 m 45 cm
C.  122 m 45 cm
D.  122 m 50 cm
E.  None of these
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