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**exampundit**. Here is the Fourth Quiz of the 50 Days Mission SSC CGL 2016 series.

__Read the followings carefully and answer__

Rules:

Post answers according to the following format(s)

1-2

2-3

3-4

Or

12345

54213

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**At least 7 Attempts for Scores.**

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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

__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

**Team ExamPundit**

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