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objective Ques (73 results)
11)

If x is the remainder when \(3^{61284}\) is divided by 5 and y is the remainder when \(4^{96}\) is divided by 6, then what is the value of \((2x-y)\) ?

SSC CGL 2019
A)

-4

B)

4

C)

-2

D)

2

12)

The value of \(\sqrt{28+10\sqrt3}-\)\(\sqrt{7-4\sqrt3}\) is closest to :

SSC CGL 2019
A)

7.2

B)

6.1

C)

6.5

D)

5.8

13)

The value of \(0.4\bar7+0.5\bar{03}-0.3\bar9\times0.\bar8\) is :

SSC CGL 2019
A)

\(0.6\bar{15}\)

B)

\(0.\bar{615}\)

C)

\(0.62\bar5\)

D)

\(0.6\bar{25}\)

14)

The LCM of two numbers x and y is 204 times their HCF. If their HCF is 12 and the difference between the numbers is 60, then x + y = ?

SSC CGL 2019
A)

660

B)

426

C)

852

D)

348

15)

The value of \(24\times2\div12\)\(+12\div6\space of\space2\div\)\((15\div8\times4)\space of\)\(\space(28\div7\space of\space5)\) is :

SSC CGL 2019
A)

\(4\frac{1}{6}\)

B)

\(4\frac{8}{75}\)

C)

\(4\frac{2}{3}\)

D)

\(4\frac{32}{75}\)

16)

In finding the HCF of two numbers by division method, the last divisor is 17 and the quotients are 1. 11 and 2, respectively. What is sum of the two numbers?

SSC CGL 2019
A)

833

B)

867

C)

816

D)

901

17)

A student was asked to find the value of \(9\frac{4}{9}\div11\frac{1}{3}\space of\space\frac{1}{6}+\)\((1\frac{1}{3}\times1\frac{4}{5}\div\frac{3}{5})\)\(\times2\frac{1}{6}\space of\space \frac{2}{3}\)\(\div\frac{4}{3}\space of\space \frac{2}{3}\). His answer was \(19\frac{1}{4}\). What is the difference between his answer and the correct answer?

SSC CGL 2019
A)

\(7\frac{3}{4}\)

B)

\(6\frac{2}{3}\)

C)

\(7\frac{1}{2}\)

D)

\(6\frac{1}{3}\)

18)

If a 10-digit number 5 4 3 2 y 1 7 4 9 x is divisible by 72, then what is the value of (5x - 4y)?

SSC CGL 2019
A)

14

B)

15

C)

10

D)

9

19)

What is the remainder when \((127^{97}+97^{97})\) is divided by 32?

SSC CGL 2019
A)

4

B)

2

C)

7

D)

0

20)

Two positive numbers differ by 2001, When the larger number is divided by the smaller number, the quotient is 9 and the remainder is 41. The sum of the digits of the larger number is:

SSC CGL 2019
A)

15

B)

11

C)

10

D)

14

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