11)

If 8A5146B is divisible by 88, then what is the value of B^A?

SSC CGL 2022

A)

15

B)

64

C)

81

D)

12

12)

The value of \( \frac{2}{7} - \frac{3}{8} -\) \( \left[ {2\frac{1}{4} \div 3\frac{1}{2}\,\,{\rm{of}}\,{\rm{1}}\frac{1}{3} + \left\{ {1\frac{{17}}{{40}}\, - \,\left( {3\, - \,1\frac{1}{5}\, - \,\frac{3}{8}} \right)} \right\}} \right] \)is:

SSC CGL 2022

A)

\(- \frac{2}{7}\)

B)

\(- \frac{4}{7}\)

C)

\(\frac{2}{7}\)

D)

\(\frac{4}{7}\)

13)

A and B are two prime numbers such that A > B and their LCM is 209. The value of A² - B is:

SSC CGL 2022

A)

361

B)

372

C)

350

D)

339

14)

13, a, b, c are four distinct numbers and the HCF of each pair of numbers (13, a); (13, b); (13, c) is 13, where a, b, c are each less than 60 and a < b < c. What is the value of \(\frac{{{\rm{a}}\,{\rm{ + }}\,{\rm{c}}}}{{\rm{b}}}\) ?

SSC CGL 2022

A)

4.5

B)

5

C)

2

D)

3.5

15)

If the 9-digit number 7x79251y8 is divisible by 36, What is the value of (10x² - 3y²) for the largest possible value of y?

SSC CGL 2022

A)

192

B)

289

C)

298

D)

490

16)

A and B are two prime numbers such that A > B and their LCM is 209. The value of B² – A is:

SSC CGL 2022

A)

102

B)

111

C)

109

D)

121

17)

If 8A5146B is divisible by 88, then what is the value of AB ?

SSC CGL 2022

A)

15

B)

12

C)

9

D)

20

18)

What is the least number which when decreased by 7 is divisible by 15, 24, 28 and 32?

SSC CGL 2022

A)

10077

B)

10087

C)

10067

D)

10097

19)

If the nine-digit number 9m2365n48 is completely divisible by 88, what is the value of (m² × n²), for the smallest value of n, where m and n are natural numbers?

SSC CGL 2022

A)

36

B)

32

C)

64

D)

20

20)

Find the greatest number 234a5b, which is divisible by 22, but NOT divisible by 5.

SSC CGL 2022

A)

234850

B)

234058

C)

234751

D)

234652