ADRE Exam 2024 - Part 29 - 592+ MCQ Quizzes | QuizList (S/P/P)

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Publisher Name: SPPMMC TEAM

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QuizList Name: ADRE Exam 2024

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Total Quizzes: 592

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QuizList UID: 24

QuizList Link/Slug: adre-exam-2024

QuizList Published Date: 2024-07-12

QuizList Last Update: 2025-05-01 00:36:43

QuizList Description: The State-Level Recruitment Commission, Assam conducts the Assam Direct Recruitment Examination (ADRE) the written examination for Grade III positions across various departments in the state government administration.

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Q561. The number when divided by 2, leaves remainder 1; when divided by 3, leaves remainder 2 and when divided by 4, leaves remainder 3, is
Q561. The number when divided by 2, leaves remainder 1; when divided by 3, leaves remainder 2 and when divided by 4, leaves remainder 3, is

(A) 25
(A) 25

(B) 41
(B) 41

(D) 11
(D) 11

Answer: (D) 11
Answer: (D) 11

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@1088

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2024-05-01

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Q562. When the numerator of a fraction increases by 3, the fraction increases by its three-fourth. The numerator of the fraction is
Q562. When the numerator of a fraction increases by 3, the fraction increases by its three-fourth. The numerator of the fraction is

(A) 3
(A) 3

(B) 4
(B) 4

(D) 6
(D) 6

Answer: (B) 4
Answer: (B) 4

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@1089

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2024-05-01

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Q563. The sum of the four consecutive alternate numbers is 64. The smallest number amongst them is
Q563. The sum of the four consecutive alternate numbers is 64. The smallest number amongst them is

(A) 13
(A) 13

(B) 11
(B) 11

(D) 9
(D) 9

Answer: (A) 13
Answer: (A) 13

The smallest number amongst them is 13 => X + (X+2) + (X+4) + (X+6) = 64 => 4X + 12 = 64 => 4X = 64 - 12 => 4X = 52 => X = 13

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@1109

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2024-05-09

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Q564. Two numbers are in the ratio of 2 : 3 and the product of their LCM and HCF is 96. The sum of the numbers is
Q564. Two numbers are in the ratio of 2 : 3 and the product of their LCM and HCF is 96. The sum of the numbers is

(A) 8
(A) 8

(B) 12
(B) 12

(D) 36
(D) 36

Answer: (C) 20
Answer: (C) 20

=> 2x * 3x = 96 => 6x² = 96 => x² = 96/6 => x² = 16 => x = 4 2x + 3x = 5x = 5 * 4 = 20

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@1110

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2024-05-09

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Q565. If the salary of A is 25% more than that of B, how much percentage is the salary of B lower than that of A?
Q565. If the salary of A is 25% more than that of B, how much percentage is the salary of B lower than that of A?

(A) 20%
(A) 20%

(B) 25%
(B) 25%

\frac{1}{2}

%
(C) 12

\frac{1}{2}

(D) 16

\frac{1}{2}

%
(D) 16

\frac{1}{2}

Answer: (A) 20%
Answer: (A) 20%

20% =

\frac{25}{100 + 25} * 100

\frac{25}{125} * 100

% = 20%

20% =

\frac{25}{100 + 25} * 100

\frac{25}{125} * 100

% = 20%

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2024-05-09

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Q566. 98 toffees were distributed to some boys in a group. Each boy in the group got twice as many of the toffees as the number of boys. The number of boys in the group was
Q566. 98 toffees were distributed to some boys in a group. Each boy in the group got twice as many of the toffees as the number of boys. The number of boys in the group was

(A) 5
(A) 5

(B) 7
(B) 7

(D) 14
(D) 14

Answer: (B) 7
Answer: (B) 7

7 => x * 2x = 98 => x² =

\frac{98}{2}

=> x² = 49 => x = 7

7 => x * 2x = 98 => x² =

\frac{98}{2}

=> x² = 49 => x = 7

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@1112

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2024-05-09

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Q567. The value of $\sqrt{0.04} + \sqrt{1.44} + \sqrt{1.69} + \sqrt{0.0009}$ is :
Q567. The value of $\sqrt{0.04} + \sqrt{1.44} + \sqrt{1.69} + \sqrt{0.0009}$ is :

(A) 1.73
(A) 1.73

(B) 2.03
(B) 2.03

(D) 1.03
(D) 1.03

Answer: (C) 2.73
Answer: (C) 2.73

\sqrt{0.04} + \sqrt{1.44} + \sqrt{1.69} + \sqrt{0.0009}

\sqrt{0.02*0.02} + \sqrt{1.2*1.2} + \sqrt{1.3*1.3} + \sqrt{0.03*0.03}

= 0.2 + 1.2 + 1.3 + 0.03 = 2.73

\sqrt{0.04} + \sqrt{1.44} + \sqrt{1.69} + \sqrt{0.0009}

\sqrt{0.02*0.02} + \sqrt{1.2*1.2} + \sqrt{1.3*1.3} + \sqrt{0.03*0.03}

= 0.2 + 1.2 + 1.3 + 0.03 = 2.73

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@1117

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2024-05-09

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Q568. 45% of a number is same as 30% of another number. The ratio of the first number to the second number is :
Q568. 45% of a number is same as 30% of another number. The ratio of the first number to the second number is :

(A) 2 : 3
(A) 2 : 3

(B) 3 : 5
(B) 3 : 5

(D) 2 : 5
(D) 2 : 5

Answer: (A) 2 : 3
Answer: (A) 2 : 3

\frac{45}{100} * X = \frac{30}{100} * Y

\frac{X}{Y} = \frac{30 * 100}{100 * 45}

\frac{X}{Y} = \frac{2}{3}

= X:Y = 2:3

\frac{45}{100} * X = \frac{30}{100} * Y

\frac{X}{Y} = \frac{30 * 100}{100 * 45}

\frac{X}{Y} = \frac{2}{3}

= X:Y = 2:3

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@1118

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2024-05-09

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Q569. A lady deposits money in her savings bank in such a way that every next day her deposit amount is ₹ 12 more than her previous day deposit. If she starts her deposit with ₹ 12 on the first day, the total amount deposited by Liza at the end of 30 days will be :
Q569. A lady deposits money in her savings bank in such a way that every next day her deposit amount is ₹ 12 more than her previous day deposit. If she starts her deposit with ₹ 12 on the first day, the total amount deposited by Liza at the end of 30 days will be :

(A) 5,420
(A) 5,420

(B) 5,580
(B) 5,580

(D) 5,780
(D) 5,780

Answer: (B) 5,580
Answer: (B) 5,580

The formula for the sum of the first n terms of an arithmetic progression is

S_{n} = \frac{n}{2} (a + a n)

\frac{30}{2} (12 + 12 * 30)

= 15*(12+360) = 15 * 372 = 5580

The formula for the sum of the first n terms of an arithmetic progression is

S_{n} = \frac{n}{2} (a + a n)

\frac{30}{2} (12 + 12 * 30)

= 15*(12+360) = 15 * 372 = 5580

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@1119

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2024-05-09

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Q570. Find the median of the data set.
Q570. Find the median of the data set.

1, 2, 4, 1, 5, 12, 7, 8, 5, 1, 16, 17, 12

1, 2, 4, 1, 5, 12, 7, 8, 5, 1, 16, 17, 12

(A) 8
(A) 8

(B) 7
(B) 7

(D) 4
(D) 4

Answer: (C) 5
Answer: (C) 5

1, 2, 4, 1, 5, 12, 7, 8, 5, 1, 16, 17, 12 = 1, 1, 1, 2, 4, 5, 5, 7, 8, 12, 12, 16, 17 Total numbers of values N = 13 Hence median value = (N + 1)/2 = (13 + 1)/2 = 7th 7th Number = 5

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@1120

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2024-05-09

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Q571. Find the value of $\sqrt{\frac{225}{729}} - \sqrt{\frac{25}{144}} - \sqrt{\frac{16}{81}}$
Q571. Find the value of $\sqrt{\frac{225}{729}} - \sqrt{\frac{25}{144}} - \sqrt{\frac{16}{81}}$

(A)

\frac{- 5}{9}

(A)

\frac{- 5}{9}

(B)

\frac{- 7}{12}

(B)

\frac{- 7}{12}

(C)

\frac{- 20}{27}

(C)

\frac{- 20}{27}

(D)

\frac{- 11}{36}

(D)

\frac{- 11}{36}

Answer: (D)

\frac{- 11}{36}

Answer: (D)

\frac{- 11}{36}

\sqrt{\frac{225}{729}} - \sqrt{\frac{25}{144}} - \sqrt{\frac{16}{81}}

\sqrt{\frac{15 * 15}{27 * 27}} - \sqrt{\frac{5 * 5}{12 * 12}} - \sqrt{\frac{4 * 4}{9 * 9}}

\frac{15}{27} - \frac{5}{12} - \frac{4}{9}

\frac{60 - 45 - 48}{108}

\frac{- 33}{108}

\frac{- 11}{36}

\sqrt{\frac{225}{729}} - \sqrt{\frac{25}{144}} - \sqrt{\frac{16}{81}}

\sqrt{\frac{15 * 15}{27 * 27}} - \sqrt{\frac{5 * 5}{12 * 12}} - \sqrt{\frac{4 * 4}{9 * 9}}

\frac{15}{27} - \frac{5}{12} - \frac{4}{9}

\frac{60 - 45 - 48}{108}

\frac{- 33}{108}

\frac{- 11}{36}

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@1121

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2024-05-09

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Q572. ‘A’ starts his journey at 1:00 p.m. from a location P with a speed of 1 m/sec. ‘B’ starts his journey from the same location P and along the same direction at 1:10 p.m. with a speed of 2 m/sec. If ‘B’ meets ‘A’ at the location Q, then the distance PQ is :
Q572. ‘A’ starts his journey at 1:00 p.m. from a location P with a speed of 1 m/sec. ‘B’ starts his journey from the same location P and along the same direction at 1:10 p.m. with a speed of 2 m/sec. If ‘B’ meets ‘A’ at the location Q, then the distance PQ is :

(A) 1.5 km
(A) 1.5 km

(B) 1.75 km
(B) 1.75 km

(D) 1.25 km
(D) 1.25 km

Answer: (C) 1.2 km
Answer: (C) 1.2 km

A starts journey before B at a speed of 1 m/s. Hence A will be ahead of B (10*60)s * 1m/s = 600m Let A covers a distance of X after starting of B, Then X + 600m = 2X => 2X - X = 600m => X = 600m Hence B will cover a distance of 2X = 2 * 600m = 1200m = 1.2 km

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@1122

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2024-05-15

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Q573. The price of an article is first decreased by 40% and then increased by 20%. The net change in the price will be :
Q573. The price of an article is first decreased by 40% and then increased by 20%. The net change in the price will be :

(A) 20%
(A) 20%

(B) 40%
(B) 40%

(D) 28%
(D) 28%

Answer: (D) 28%
Answer: (D) 28%

Net change (-40 + 20 +

\frac{(- 40) * 20}{100}

)% = (-20 +

\frac{- 800}{100}

)% = (-20 - 8)% = -28% = 28%

Net change (-40 + 20 +

\frac{(- 40) * 20}{100}

)% = (-20 +

\frac{- 800}{100}

)% = (-20 - 8)% = -28% = 28%

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@1123

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2024-05-15

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Q574. A man is 3 years older than his wife and four times as old as his son. If the son becomes 15 years old after 3 years, the present age of his wife is :
Q574. A man is 3 years older than his wife and four times as old as his son. If the son becomes 15 years old after 3 years, the present age of his wife is :

(A) 60 years
(A) 60 years

(B) 51 years
(B) 51 years

(D) 45 years
(D) 45 years

Answer: (D) 45 years
Answer: (D) 45 years

The son becomes 15 years old after 3 years. Hence son's present age = 15 years - 3 years = 12 years Man is four times as old as his son. Hence Man's present age = 12 years * 4 = 48 years Man is 3 years older than his wife. Hence present age of his wife = 48 years - 3 years = 45 years.

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@1127

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2024-05-15

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Q575. If 20% of a is b, then b% of 20 is the same as :
Q575. If 20% of a is b, then b% of 20 is the same as :

(A) 4% of a
(A) 4% of a

(B) 8% of a
(B) 8% of a

(D) 10% of a
(D) 10% of a

Answer: (A) 4% of a
Answer: (A) 4% of a

20% of a is b Hence b = 20% of a = 20a/100 b% of 20 = 20% of b = (20/100) * 20a/100 = (20*20*a)/(100*100) = 4a/100 = (4/100) * a = 4% of a

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@1129

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2024-05-15

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Q576. Select the number pair in which the two numbers are related in the same way as 35 : 6.
Q576. Select the number pair in which the two numbers are related in the same way as 35 : 6.

(A) 85 : 9
(A) 85 : 9

(B) 64 : 8
(B) 64 : 8

(D) 120 : 11
(D) 120 : 11

Answer: (D) 120 : 11
Answer: (D) 120 : 11

6²-1 : 6 = 35 : 6 11²-1 : 11 = 120 : 11

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2024-05-15

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Q577. Two trains of 200 m and 100 m long are running parallel at the rate of 20 m/sec. and 22 m/sec. respectively. How much time will they take to cross each other, if the trains are running along the same direction?
Q577. Two trains of 200 m and 100 m long are running parallel at the rate of 20 m/sec. and 22 m/sec. respectively. How much time will they take to cross each other, if the trains are running along the same direction?

(A) 120 sec
(A) 120 sec

(B) 100 sec
(B) 100 sec

(D) 50 sec
(D) 50 sec

Answer: (D) 50 sec
Answer: (D) 50 sec

The difference of speed = 22m/s - 20m/s = 2m/s As the train with speed 22m/s will cross the other, hence this train have to go the smallest length of the trains distance ahead of the other to cross completely. Hence This train will be ahead of 100m with a speed of 2m/s. Hence The time to cross each other will take = 100m / (2m/s) = 50 sec

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@1132

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2024-05-15

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Q578. 5 : 27 :: 9 :
Q578. 5 : 27 :: 9 :

Fill the blank.

Fill the blank.

(A) 83
(A) 83

(B) 81
(B) 81

(D) 18
(D) 18

Answer: (A) 83
Answer: (A) 83

5 : (5² + 2) = 5 : 27 Hence 9 : (9² + 2) = 9 : 83

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@1134

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2024-05-15

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Q579. What is the value of x in the equation 2x + 5 = 11?
Q579. What is the value of x in the equation 2x + 5 = 11?

(A) 2
(A) 2

(B) 3
(B) 3

(D) 5
(D) 5

Answer: (B) 3
Answer: (B) 3

To solve for x, subtract 5 from both sides of the equation, resulting in 2x = 6. Then, divide both sides by 2, giving x = 3.

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@1256

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2024-07-02

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Q580. What is the formula to calculate the area of a circle?
Q580. What is the formula to calculate the area of a circle?

(A) A = πr²
(A) A = πr²

(B) A = 2πr
(B) A = 2πr

(D) A = 1/2πr²
(D) A = 1/2πr²

Answer: (A) A = πr²
Answer: (A) A = πr²

The formula to calculate the area of a circle is A = πr², where A is the area and r is the radius of the circle.

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2024-07-02

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ADRE Exam 2024 - Part 29 - 592+ MCQ Quizzes | QuizList (S/P/P)

Q561. The number when divided by 2, leaves remainder 1; when divided by 3, leaves remainder 2 and when divided by 4, leaves remainder 3, isQ561. The number when divided by 2, leaves remainder 1; when divided by 3, leaves remainder 2 and when divided by 4, leaves remainder 3, is

Q562. When the numerator of a fraction increases by 3, the fraction increases by its three-fourth. The numerator of the fraction isQ562. When the numerator of a fraction increases by 3, the fraction increases by its three-fourth. The numerator of the fraction is

Q563. The sum of the four consecutive alternate numbers is 64. The smallest number amongst them isQ563. The sum of the four consecutive alternate numbers is 64. The smallest number amongst them is

Q564. Two numbers are in the ratio of 2 : 3 and the product of their LCM and HCF is 96. The sum of the numbers isQ564. Two numbers are in the ratio of 2 : 3 and the product of their LCM and HCF is 96. The sum of the numbers is

Q565. If the salary of A is 25% more than that of B, how much percentage is the salary of B lower than that of A?Q565. If the salary of A is 25% more than that of B, how much percentage is the salary of B lower than that of A?

Q567. The value of 0.04 + 1.44 + 1.69 + 0.0009 is :Q567. The value of 0.04 + 1.44 + 1.69 + 0.0009 is :

Q568. 45% of a number is same as 30% of another number. The ratio of the first number to the second number is :Q568. 45% of a number is same as 30% of another number. The ratio of the first number to the second number is :

Q570. Find the median of the data set.Q570. Find the median of the data set.

Q571. Find the value of 225729-25144-1681Q571. Find the value of 225729-25144-1681

Q573. The price of an article is first decreased by 40% and then increased by 20%. The net change in the price will be :Q573. The price of an article is first decreased by 40% and then increased by 20%. The net change in the price will be :

Q575. If 20% of a is b, then b% of 20 is the same as :Q575. If 20% of a is b, then b% of 20 is the same as :

Q576. Select the number pair in which the two numbers are related in the same way as 35 : 6.Q576. Select the number pair in which the two numbers are related in the same way as 35 : 6.

Q578. 5 : 27 :: 9 : ________Q578. 5 : 27 :: 9 : ________

Q579. What is the value of x in the equation 2x + 5 = 11?Q579. What is the value of x in the equation 2x + 5 = 11?

Q580. What is the formula to calculate the area of a circle?Q580. What is the formula to calculate the area of a circle?

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Q561. The number when divided by 2, leaves remainder 1; when divided by 3, leaves remainder 2 and when divided by 4, leaves remainder 3, is
Q561. The number when divided by 2, leaves remainder 1; when divided by 3, leaves remainder 2 and when divided by 4, leaves remainder 3, is

Q562. When the numerator of a fraction increases by 3, the fraction increases by its three-fourth. The numerator of the fraction is
Q562. When the numerator of a fraction increases by 3, the fraction increases by its three-fourth. The numerator of the fraction is

Q563. The sum of the four consecutive alternate numbers is 64. The smallest number amongst them is
Q563. The sum of the four consecutive alternate numbers is 64. The smallest number amongst them is

Q564. Two numbers are in the ratio of 2 : 3 and the product of their LCM and HCF is 96. The sum of the numbers is
Q564. Two numbers are in the ratio of 2 : 3 and the product of their LCM and HCF is 96. The sum of the numbers is

Q565. If the salary of A is 25% more than that of B, how much percentage is the salary of B lower than that of A?
Q565. If the salary of A is 25% more than that of B, how much percentage is the salary of B lower than that of A?

Q567. The value of $\sqrt{0.04} + \sqrt{1.44} + \sqrt{1.69} + \sqrt{0.0009}$ is :
Q567. The value of $\sqrt{0.04} + \sqrt{1.44} + \sqrt{1.69} + \sqrt{0.0009}$ is :

Q568. 45% of a number is same as 30% of another number. The ratio of the first number to the second number is :
Q568. 45% of a number is same as 30% of another number. The ratio of the first number to the second number is :

Q570. Find the median of the data set.
Q570. Find the median of the data set.

Q571. Find the value of $\sqrt{\frac{225}{729}} - \sqrt{\frac{25}{144}} - \sqrt{\frac{16}{81}}$
Q571. Find the value of $\sqrt{\frac{225}{729}} - \sqrt{\frac{25}{144}} - \sqrt{\frac{16}{81}}$

Q573. The price of an article is first decreased by 40% and then increased by 20%. The net change in the price will be :
Q573. The price of an article is first decreased by 40% and then increased by 20%. The net change in the price will be :

Q575. If 20% of a is b, then b% of 20 is the same as :
Q575. If 20% of a is b, then b% of 20 is the same as :

Q576. Select the number pair in which the two numbers are related in the same way as 35 : 6.
Q576. Select the number pair in which the two numbers are related in the same way as 35 : 6.

Q578. 5 : 27 :: 9 :
Q578. 5 : 27 :: 9 :

Q579. What is the value of x in the equation 2x + 5 = 11?
Q579. What is the value of x in the equation 2x + 5 = 11?

Q580. What is the formula to calculate the area of a circle?
Q580. What is the formula to calculate the area of a circle?