Number System (Part-2)

31. If 321y72 is a multiple of 6, where y is a digit, what is the least value of y? [SSC CGL 13/09/2024 (1st Shift)]

(a) 3
(b) 0
(c) 7
(d) 2

Correct Answer: (b) 0

Solution:

32. At a cafe, Rama bought drinks for her 7 friends at ₹240. Some of them wanted coffee, while others wanted black tea. A regular cup of coffee cost ₹40 and a regular cup of black tea cost ₹ 30. How many cups of black tea did she purchase? [SSC CGL 13/09/2024 (1st Shift)]

(a) 5
(b) 4
(c) 3
(d) 6

Correct Answer: (b) 4

Solution:

33. Find the remainder: (17¹³ - 21) ÷18 [SSC CGL 13/09/2024 (3rd Shift)]

(a) 15
(b) 17
(c) 14
(d) 21

Correct Answer: (c) 14

Solution:

34. Find the least value of x for which 57x716 is divisible by 9. [SSC CGL 17/09/2024 (2nd Shift)]

(a) 1
(b) 9
(c) 0
(d) 8

Correct Answer: (a) 1

Solution:

35. If P is a digit such that 6954P is divisible by 11, then P equals: [SSC CGL 17/09/2024 (3rd Shift)]

(a) 2
(b) 8
(c) 6
(d) 7

Correct Answer: (a) 2

Solution:

36. When f(m) = m⁵+5m⁴-3m + 7 is divided by (m-2), then the remainder is______ . [SSC CGL 17/09/2024 (3rd Shift)]

(a) 7
(b) 5
(c) 0
(d) 113

Correct Answer: (d) 113

Solution:

37. A number r when divided by 8 leaves remainder 3. What will be the remainder when (r²+6r+7) is divided by 8?

(a) 2
(b) 3
(c) 1
(d) 4

Correct Answer: (a) 2

Solution:

38. Find the remainder, if 19²⁰⁰ is divided by 20. [SSC CGL 18/09/2024 (2nd Shift)]

(a) 2
(b) -1
(c) 1
(d) 3

Correct Answer: (c) 1

Solution:

39. Which of the following fractions is the largest? [SSC CGL 18/09/2024 (2nd Shift)]

2/3, 6/53, 79/90, 33/44

(a) 2/3
(b) 33/44
(c) 6/53
(d) 79/90

Correct Answer: (d) 79/90

Solution:

40. If the 9-digit number 5x79856y6 is divisible by 36, then what is the negative value of √(2x + y) for the largest possible value of y, given x and y are natural numbers? [SSC CGL 18/09/2024 (3rd Shift)]

(a) -7
(b) -2
(c) -4
(d) -5

Correct Answer: (d) -5

Solution:

Number System (Part-2)

31. If 321y72 is a multiple of 6, where y is a digit, what is the least value of y? [SSC CGL 13/09/2024 (1st Shift)]

32. At a cafe, Rama bought drinks for her 7 friends at ₹240. Some of them wanted coffee, while others wanted black tea. A regular cup of coffee cost ₹40 and a regular cup of black tea cost ₹ 30. How many cups of black tea did she purchase? [SSC CGL 13/09/2024 (1st Shift)]

33. Find the remainder: (17¹³ - 21) ÷18 [SSC CGL 13/09/2024 (3rd Shift)]

34. Find the least value of x for which 57x716 is divisible by 9. [SSC CGL 17/09/2024 (2nd Shift)]

35. If P is a digit such that 6954P is divisible by 11, then P equals: [SSC CGL 17/09/2024 (3rd Shift)]

36. When f(m) = m⁵+5m⁴-3m + 7 is divided by (m-2), then the remainder is______ . [SSC CGL 17/09/2024 (3rd Shift)]

37. A number r when divided by 8 leaves remainder 3. What will be the remainder when (r²+6r+7) is divided by 8?

38. Find the remainder, if 19²⁰⁰ is divided by 20. [SSC CGL 18/09/2024 (2nd Shift)]

39. Which of the following fractions is the largest? [SSC CGL 18/09/2024 (2nd Shift)]

40. If the 9-digit number 5x79856y6 is divisible by 36, then what is the negative value of √(2x + y) for the largest possible value of y, given x and y are natural numbers? [SSC CGL 18/09/2024 (3rd Shift)]

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