SSC CGL 2019-20 Tier 1 Syllabus, Exam Pattern and Preparation Tips

Find the wrong number in the series.

31, 38, 50, 70, 95, 126
1) 38
2) 126
3) 50
4) 95
5) 70

Find the wrong one in the series below.

10, 10, 15, 30, 75, 100
1) 100
2) 15
3) 10
4) 75
5) 30

ZIP=198 ZAP=246 VIP=?

The positive integers indicated by a and b satisty (3 1/a) x (b 2/5) = (13 3/4)

the fractions being in their lowest terms, then a and b = ?

1) a=4, b=2

2) a=4, b=4

3) a=6, b=2

4) a=6, b=8

5) None

If (6^31 + 6^32 + 6^33 + 6^34) is divisible by x, then x = 

(a) 34
(b) 37
(c) 40
(d) 41
(e) 43

5, 11, 22, 48, ?, 185, 316 ?

95

98

99

102

105

3, 6, 21, 60, 183, ?

246

346

446

546

None of these

9, 11, 23, 53, 109, ?, 331 

195

196

197

198

None of these

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This post is all about Euler's theorem :- (remainder questions are limited the boundary ) :- 

Euler :- like Newton , Euler ne mathematics , graph theory me dhoom machai thi ............ so , starting with the simple theorem 

let we have to find remainder of a^x/d so, here a and d must be co-prime means hcf(a,f)=1 

now , we have to follow some steps :- 

step 1 :- check whether co-prime or not HCF(a,d)=1 

Step 2 :- If co-prime , then find euler's totient factor or function ..... first we have to composite  d= k^m*l^n*b^t ...(composite factors ) where k,l,b are prime numbers ... 

so euler's totient factor (e)= d*(1-1/k) * (1-1/l) * (1-1/b) 

step 3 => now , a^e% d = 1 ( where % = mod ) 

now , take an example :- 

let we have to find remainder for 77^ 109/ 12 

soln :-  check 77,12 whether co-prime or not ... found co-prime so, proceed further 

step 2 :- 12= 4*3 = 2^2*3^1 ... so, e= 12*(1-1/2) *(1-1/3)  = 4 

step 3:- now , 77^4 % 12 = 1 .... so , 77^108 * 77 % 12 = 77%12 = 5 as remainder 

In a triangle the length of an altitude is 8 cm and this altitude divides the opposite side internally in the ratio 1 : 8. Find the length of a line segment parallel to the altitude which bisects the area of the given triangle.

a 6 cm

b 3 cm

c 5 cm

d 7 cm

Pls explain the answer in steps..

How to solve it?

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Answer? How to solve it?

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A Shopkeeper buys 50 dozen at RS 4 per dozen. Out of them, 40 eggs were found broken. At what rate should he sell the remaining eggs per dozen so as to gain 5% on the whole? Please explain