Monday, June 13, 2016

Mission SSC CGL 2016 - Quiz - Day 4 - Maths


Hello and welcome to exampundit . Here is the Fourth Quiz of the 50 Days Mission SSC CGL 2016 series.

Read the followings carefully and answer



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54213
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1. If the operation ‘ * ’ is defined by a*b=a+b-ab, then 5*7 equals
a) -23
b) -47
c) 47
d) 23



2. What is the sum of all even numbers from 1 to 600?
a) 90200
b) 90300
c) 90000
d) None




3. The sum of odd numbers from 20 to 101 is
a) 2500
b) 1601
c) 2501
d) None



4. How many numbers upto 200 are divisible by 4 and 3 together
a) 17
b) 16
c) 20
d) 24




5. Find the number of divisors of 37800, excluding unity
a) 96
b) 95
c) 90
d) 85




6. What is the greatest number that will divide 38, 45 and 52 leaving reminders 2,3 and 4 respectively?
a) 8
b) 6
c) 12
d) 10




7. What greatest number can be subtracted from 10000 so that the reminder may be divisible from 32,36,48,54 ?
a) 9036
b) 8136
c) 9136
d) None




8. What is the least number which when divided by 52 , 78 and 117 leaves remainder 33,59 and 98 respectively?
a) 489
b) 429
c) 400
d) 449


9. 451 and 607 are divided by a third number of 3 digits and the remainder is same in both cases.find the three digit number
a) 125
b) 145
c) 146
d) 156




10. What is the unit’s digit in 72959  x  9843
a) 1
b) 6
c) 8
d) 9



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Solutions:
1.a+b-ab=5+7-(5*7)=12-35=-23


2.number of even numbers in 1-600=300
Sum of 1st n even numbers=n(n+1)=300*301=90300


3. Sum of 1st n odd numbers=n2
=512-102=2501


4.lcm of 4 and 3=12
Number of numbers divisible is the quotient on dividing 200/12=16


5.37800=23x33x52x71
So the indices are 3,3,2,1
Now increase all indices by 1 and den their product will give the number of divisors
So total number of divisors=(3+1)x(3+1)x(2+1)x(1+1)=4x4x3x2=96(including the number itself and unity)
Our answer excluding unity=96-1=95


6.hcf of 38-2  ,  45-3,  52-4 i.e- 36,42,48= 6
Answer=6


7.10,000-(lcm of 32,36,48,54)=10000-864=9136
8.52-33=78-59=117-98=19
Lcm of 52,78,117=468
Answer=468-19=449


9.when 2 numbers after being divided by a 3rd number leave same reminder, the difference of those numbers must be divided by 3rd number
607-451=156
If we look at all the factors of 156 then the only 3 digit factor is 156 itself hence answer=156


10-unit place in 72959 =9
Unit place in 9843=2
Hence answer =8



Regards



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