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Question 441

AP Police Constable 2018• Full Test

The interest on a sum at a certain rate of interest compounded yearly for two years is Rs. 5,500. If the simple interest on the same sum, at the same rate of interest for 4 years is Rs. 10,000 then the rate of interest is

  1. AOption (a)

    20%

  2. BOption (b)

    25%

  3. COption (c)

    10%

  4. DOption (d)

    15%

View answer & explanation

Correct answer

Answer: (a)A.

20%

Explanation not yet available.

Question 442

AP Police Constable 2018• Full Test

If α and β satisfy the equations 3x + 7y = 5 and 11x + 5y = 7 then 31 (α + β) =

  1. AOption (a)

    12

  2. BOption (b)

    29

  3. COption (c)

    31

  4. DOption (d)

    1

View answer & explanation

Correct answer

Answer: (a)A.

12

Explanation not yet available.

Question 443

AP Police Constable 2018• Full Test

If the system of equations 2x + 3y = 4 and 6x + 9y = k has no solution, then the value (s) of k is (are)

  1. AOption (a)

    12

  2. BOption (b)

    ll real values except 6

  3. COption (c)

    all real values except 4

  4. DOption (d)

    all real values except 12

View answer & explanation

Correct answer

Answer: (a)A.

12

Explanation not yet available.

Question 444

AP Police Constable 2018• Full Test

If the system of equations 7x - y - 5 = 0 and ax - 5y - 25 = 0 has infinite number of solutions, then for k \(\in\) IR the general solution (x, y) of the system is

  1. AOption (a)

    (k + 5)/7, k

  2. BOption (b)

    \((k,\frac{a}{7})\)

  3. COption (c)

    k, (k - 5)/7

  4. DOption (d)

    \((7k - \frac{a}{7}k)\)

View answer & explanation

Correct answer

Answer: (a)A.

(k + 5)/7, k

Explanation not yet available.

Question 445

AP Police Constable 2018• Full Test

If the sum of three consecutive numbers in a geometric progression is 26 and the sum of their squares is 364, then the product of those numbers is

  1. AOption (a)

    216

  2. BOption (b)

    125

  3. COption (c)

    343

  4. DOption (d)

    512

View answer & explanation

Correct answer

Answer: (a)A.

216

Explanation not yet available.

Question 446

AP Police Constable 2018• Full Test

Which of the following numbers belong to the series 5, 13, 21, 29, 37,  ...

  1. AOption (a)

    2018

  2. BOption (b)

    2005

  3. COption (c)

    2010

  4. DOption (d)

    2017

View answer & explanation

Correct answer

Answer: (a)A.

2018

Explanation not yet available.

Question 447

AP Police Constable 2018• Full Test

\(10 + 4;of;3 \div \left[ {;8 \times 3;\left{ {;12 \div 6;\left( {25 - 12 \times 3 + ;\overline {8 - 4 \times 3} ;} \right)} \right}} \right] = ;\)

  1. AOption (a)

    \(12 \frac{15}{47}\)

  2. BOption (b)

    \(2\frac{2}{11}\)

  3. COption (c)

    \(9\frac{59}{60}\)

  4. DOption (d)

    \(\frac{35}{73}\)

View answer & explanation

Correct answer

Answer: (a)A.

\(12 \frac{15}{47}\)

Explanation not yet available.

Question 448

AP Police Constable 2018• Full Test

If 3 unbiased coins are tossed simultaneously, then the probability of getting atmost one head is

  1. AOption (a)

    \(\frac{1}{8}\)

  2. BOption (b)

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

  3. COption (c)

    \(\frac{3}{8}\)

  4. DOption (d)

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

View answer & explanation

Correct answer

Answer: (a)A.

\(\frac{1}{8}\)

Explanation not yet available.

Question 449

AP Police Constable 2018• Full Test

When two unbiased dice are rolled, the probability of getting prime numbers on both the dice is

  1. AOption (a)

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

  2. BOption (b)

    \(\frac{4}{9}\)

  3. COption (c)

    \(\frac{2}{9}\)

  4. DOption (d)

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

View answer & explanation

Correct answer

Answer: (a)A.

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

Explanation not yet available.

Question 450

AP Police Constable 2018• Full Test

If a card is drawn at random from a well shuffled pack of 52 playing cards, then the probability of getting a red coloured face card is

  1. AOption (a)

    \(\frac{2}{{13}}\)

  2. BOption (b)

    \(\frac{1}{{13}}\)

  3. COption (c)

    \(\frac{3}{{26}}\)

  4. DOption (d)

    \(\frac{3}{{52}}\)

View answer & explanation

Correct answer

Answer: (a)A.

\(\frac{2}{{13}}\)

Explanation not yet available.