Search Previous Year Questions

Find real questions from previous competitive exam papers with answers and solutions.

Leave the keyword blank to browse saved questions for your selected exam, newest papers first. Add a keyword, year or topic to narrow the results.

Browse complete papers
Showing 10 question(s)
Clear

Question 281

Kolkata Police SI 2019• Full Test

In an election between two candidates, 75% of the voters cast their votes, out of which 2% of the votes were declared invalid. A candidate got 9261 votes which were 75% of the total valid vote. Find the total number of voters.

  1. AOption (a)

    15800

  2. BOption (b)

    16800

  3. COption (c)

    15700

  4. DOption (d)

    16700

View answer & explanation

Correct answer

Answer: (b)B.

16800

Why this answer is correct

Given:

Percentage of voters cast their vote = 75%

Invalid vote percentage = 2%

Candidate got votes 75% of valid votes = 9261

Calculation:

Let us take the total number of voters be x

casted vote % = 75% of x 

valid casted vote = 98% of 75% of x

⇒ 75% of total valid vote = 75% of 98% of 75% of x

⇒ 9261 = 3/4 × 3/4 × 98/100 × x  

⇒ x = (1029 × 16 × 100)/98

⇒ x = 16800 

∴ The total number of voters will 16800

Question 282

Kolkata Police SI 2019• Full Test

The sum of money doubles itself in 4 years at a simple interest. In how many years will it amount to 8 times of itself?

  1. AOption (a)

    12 years

  2. BOption (b)

    28 years

  3. COption (c)

    8years

  4. DOption (d)

    24 years

View answer & explanation

Correct answer

Answer: (b)B.

28 years

Why this answer is correct

Given:

Amount = 2 × Principal

T= 4 years

Amount = 8 × Principal

Formula Used:

S.I = (P × R × T)/100

A = P + S.I

Calculation:

If A = 2P 

⇒ 2P - P = S.I

then S.I = Principal

⇒ P = (P × R × 4)/100

⇒ R = 25%

When Amount = 8 times of Principle

then S.I = 7P

⇒ 7P = (P × 25 × T)/100

⇒ T = 28 years

 ∴ In 28 years it will amount to 8 times of itself

Sum double itself in 4 hour

Interest is 1 × sum in 4 years

In the question asked 8 times

interest will be 7 × sum

1 sum = 4

⇒ 7 sum = 4 × 7 = 28 years

 ∴ In 28 years it will amount to 8 times of itself

Question 283

Kolkata Police SI 2019• Full Test

A man purchased 35 kg of rice at the rate of Rs. 9.50 per kg and 30 kg at the rate of Rs. 10.50 per kg. He mixed the two. Approximately, at what price (in Rs.) per kg should he sell the mixture to make 35% profit in the transaction?

  1. AOption (a)

    12.50

  2. BOption (b)

    13.50

  3. COption (c)

    12

  4. DOption (d)

    13

View answer & explanation

Correct answer

Answer: (b)B.

13.50

Why this answer is correct

Given:

The cost price of 35 kg of rice  = Rs. 9.50 per kg

the cost price of 30 kg of rice = Rs. 10.50 per kg

Formula Used:

Profit  = (Profit%/100 ) × CP

Calculation:

Total cost price of mixture of 35 kg and 30 kg of rice  = (35 × 9.50 + 30 × 10.50)

Total cost price of 65 kg mixture  = (332.5 + 315) ⇒ Rs. 647.5

⇒Rate per kg of mixture  = 647.5/65

profit of the mixture per kg  = (135/100) × (647.5/65) ⇒ Rs. 13.44

∴ The selling price of the mixture of rice per kg is Rs.13.50

Question 284

Kolkata Police SI 2019• Full Test

The ratio of the length and the breadth of a rectangular plot is 6 : 5 respectively, if the breadth of the plot is 34 meters less than the length, what is the perimeter of the rectangular plot?

  1. AOption (a)

    408 meters

  2. BOption (b)

    814 meters

  3. COption (c)

    374 meters

  4. DOption (d)

    748 meters

View answer & explanation

Correct answer

Answer: (d)D.

748 meters

Why this answer is correct

Given:

The ratio of length and breadth = 6 : 5

Difference between the length and breadth of a rectangular plot = 34 meters

Formula Used:

Area of the rectangle = l × b square units

The perimeter of the rectangle = 2 × (l + b)

Calculation:

let us take the  length and breadth  of the rectangle be 6x, 5x respectively

According to the question,

The difference between the length and breadth of plot = Difference in the ratio of length and breadth of the plot.

⇒ 34 = 6x - 5x

⇒ x = 34 

Lenght of the rectangle = 6 × 34 = 204 meters

Breadth of the rectangle = 5 × 34 = 170 meters

The perimeter of the rectangle = 2 × ( 204 + 174) = 748 meters 

∴ The perimeter of the rectangle is 748 meters

Question 285

Kolkata Police SI 2019• Full Test

In an examination it is required to get 40% of the aggregate marks to pass. A student gets 265 marks and is declared failed by 55 marks, What is the total marks in the said examination?

  1. AOption (a)

    750

  2. BOption (b)

    550

  3. COption (c)

    800

  4. DOption (d)

    650

View answer & explanation

Correct answer

Answer: (c)C.

800

Why this answer is correct

Given:

Required % to pass the exam = 40%

A student scored = 265 marks

Student failed by 55 marks

Calculation:

Let us take the total marks be x

According to the question,

265 + 55 = 40% of x

⇒ 320 = 40/100 of x

⇒ (320 × 100)/40 = x  

⇒ 800 = x

∴ The total marks in the said examination is 800.

Question 286

Kolkata Police SI 2019• Full Test

If the new numerator of a fraction is increased by 200% and the denominator of the fraction is increased by 150%, the resultant fraction is \(\frac{9}{35}\) What is the original fraction ?

  1. AOption (a)

    3/14

  2. BOption (b)

    2/15

  3. COption (c)

    3/16

  4. DOption (d)

    3/10

View answer & explanation

Correct answer

Answer: (a)A.

3/14

Why this answer is correct

Given:

Numerator increased by 200%

Denominator increased by 150%

Resultant fraction = 9/35

Calculation:

Let us take the numerator be x

Let us take the denominator be y

According to the question

(x + 200% of x)/(y +150% of y) = 9/35

⇒ (x+2x)/(y+1.5y) = 9/35

⇒ 35(3x) = (2.5y)9 

⇒ 105x = 22.5y

⇒ x/y = 3/14

∴ The original fraction = 3/14

Question 287

Kolkata Police SI 2019• Full Test

If 72 × 96 = 6927, 58 × 87 = 7885, then 79 × 86 = ?

  1. AOption (a)

    7689

  2. BOption (b)

    6897

  3. COption (c)

    8976

  4. DOption (d)

    6978

View answer & explanation

Correct answer

Answer: (b)B.

6897

Why this answer is correct

The logic follows here is:

Similarly,

Hence, the correct answer is "6897".

Question 288

Kolkata Police SI 2019• Full Test

Coffee : Caffeine :: Tobacco :?

  1. AOption (a)

    Nicotine 

  2. BOption (b)

    Tanin

  3. COption (c)

    Alexine

  4. DOption (d)

    Novocaine 

View answer & explanation

Correct answer

Answer: (a)A.

Nicotine 

Why this answer is correct

The logic follows here is:

As Coffee contains Caffeine.

Similarly,

Tobacco contains Nicotine.

Hence, the correct answer is "Nicotine".

  • Caffeine, a Stimulant That Can Enhance Brain Function and Boost Metabolism. Caffeine is the most commonly consumed psychoactive substance in the world.
  • Novocaine is another term for procaineis a local anesthetic drug of the amino ester group. It is most commonly used in dental procedures to numb the area around a tooth and is also used to reduce the pain of intramuscular injection of penicillin.
  • Tannins are chemical compounds found in a variety of plant-based foods and beverages, including tea. They're responsible for giving the tea its dry, somewhat bitter flavor and providing color in certain types of tea.

Question 289

Kolkata Police SI 2019• Full Test

Complete the given letter series in the following:

a_ab _baa_bb _

  1. AOption (a)

    aabb

  2. BOption (b)

    baba

  3. COption (c)

    abab 

  4. DOption (d)

    bbaa 

View answer & explanation

Correct answer

Answer: (c)C.

abab 

Why this answer is correct

Putting options in the black spaces:

Option 1aaababaabbbb
Option 2abababaabbba
Option 3aaabbbaaabbb
Option 4ababbbaaabba

 

Option (3) is giving a pattern of aaabbbaaabbb. 

No other option is giving any particular pattern.

Hence, the correct answer is "abab".

Question 290

Kolkata Police SI 2019• Full Test

X is the east of Y which is in the north of Z. If P is in the east of Z, then in which direction of X, is P?

  1. AOption (a)

    South-West

  2. BOption (b)

    West 

  3. COption (c)

    South-East

  4. DOption (d)

    South

View answer & explanation

Correct answer

Answer: (d)D.

South

Why this answer is correct

According to the given information the possible diagram is:

From the above diagram, P is in the south direction with respect to X.

Hence, the correct answer is "South".

Important Points

If the distance is not given between any two variables then an "exact" case will be formed.  

Here, distance is not given so the only possible case is P in the exact south direction with respect to X.