CAPF (AC) 2018 (Paper-1) (Question 1-50)

Total Questions: 50

31. Arabian Sea records higher salinity than the Bay of Bengal because

(a) Arabian Sea exhibits high rate of evaporation and low influx of fresh-water
(b) Arabian Sea has shallow water
(c) Arabian Sea has more enclosed land
(d) Arabian Sea receives more rainfall

Correct Answer: (a) Arabian Sea exhibits high rate of evaporation and low influx of fresh-water

Solution:Salinity near the surface in the Arabian sea is much higher than in the Bay of Bengal because evaporation over the Arabian sea is much greater and it receives relatively less river runoff.

Salinity is measured as the ratio of the weight of dissolved salts to total weight and is usually expressed as parts per thousand (ppt). 75% of seawater has a salinity ranging between 34-35ppt. The average salinity in the oceans is 34.7ppt gm of salt in every kg of seawater. The northern Bay of Bengal has only 31ppt. Hence, the right answer is (a).

32. At what time between 2 o'clock and 3 o'clock will the hour and minute hands of a clock be 12 minutes division apart?

(a) 12 minutes past 2 o'clock
(b) 18 minutes past 2 o'clock
(c) 24 minutes past 2 o'clock
(d) 30 minutes past 2 o'clock

Correct Answer: (c) 24 minutes past 2 o'clock

Solution:Complete angle of a clock = 360°

Angle of one minute division = 360 + 60 = 6°

Angle in 12 minutes division = 12 × 6 = 72°

Now, we have to find the time when Hour hand and minute hand are 72° apart.

Formula to calculate angle (N) between Minute hand(M) and hour hand(H) is:

Hence, 24 minutes past 2 o'clock is the correct answer.

33. If the number

2² × 5⁴ × 4⁶ × 10⁸ × 6¹⁰ × 15¹² × 8¹⁴ × 20¹⁶ × 10¹⁸ × 25²⁰

is divisible by 10ⁿ, then which one of the following is the maximum value of n?

(a) 78
(b) 85
(c) 89
(d) 98

Correct Answer: (d) 98

Solution:2² × 5⁴ × 4⁶ × 10⁸ × 6¹⁰ × 15¹² × 8¹⁴ × 20¹⁶ × 10¹⁸ × 25²⁰

= 2² × 2⁵ × 2¹² (2⁸ × 5⁸) × (2¹⁰ × 3¹⁰) × (3¹² × 5¹²) × 2⁴² × (4³² × 5¹⁶) × (2¹⁸ × 5¹⁸) × 5⁴⁰

= 2¹¹⁴ × 5⁹⁸ [: (2 × 5 = 10)

∴ Maximum number of pairs of 2 * 5 would be answer]

∴ Value of n is 98.

34. Suppose a, b, c, d and e are five consecutive odd numbers in ascending order. Consider the following statements :

1. Their average is (a + 4).

2. Their average is (b + 2).

3. Their average is (e - 4).

Which of the statements given above is/ are correct?

(a) 1 only
(b) 2 and 3 only
(c) 1 and 3 only
(d) 1, 2 and 3

Correct Answer: (d) 1, 2 and 3

Solution:Five consecutive odd numbers = a, b, c, d and e.

a + 2 = b ....... (1)

a + 4 = c ....... (2)

a + 6 = d ....... (3)

a + 8 = e ....... (4)

Then, average of the numbers

= (a + (a + 2) + (a + 4) + (a + 6) + (a + 8))/5

= (5a + 20)/5 = (5(a + 4))/5 = (a + 4)

∴ From equation (1),

a + 2 = b

Adding '2' on both sides,

a + 2 + 2 = b + 2

⇒ (a + 4) = (b + 2)

And from equation (4),

a + 8 = e

Subtracting '4' on both sides,

a + 4 = (e - 4)

So, all statements 1, 2 and 3 are correct.

35. A king ordered to make a crown from 8 kg of gold and 2 kg of silver. The goldsmith took away some amount of gold and replaced it by an equal amount of silver and the crown when made, weighed 10 kg. The king knows that under water gold loses 1/20th of its weight, while silver loses 1/10th. When the the crown was weighed under water, it was 9.25 kg. How much gold was stolen by the goldsmith?

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

Correct Answer: (c) 3 kg

Solution:Let goldsmith took x amount of gold and added x amount of silver.

Now, the weight of gold = (8 - x)

Weight of silver = (2 + x)

Weight loss in underwater = 10 – 9.25 = 0.75 kg

According to the question,

[(8 - x)/20] + [(2 + x)/10] = 0.75

⇒ 8 - x + 4 + 2x = 0.75 × 20

⇒ x = 15 - 12

⇒ x = 3 kg

∴ Goldsmith stole 3 kg gold.

36. If a cubical container of length, breadth and height each of 10 cm can contain exactly 1 litre of water, then a spherical container of radius 10.5 cm can contain

(a) not more than 4 litres of water
(b) more than 4 litres but less than 4.5 litres of water
(c) more than 4.5 litres but less than 5 litres of water
(d) more than 5 litres of water

Correct Answer: (c) more than 4.5 litres but less than 5 litres of water

Solution:Volume of a cube = l × b × h

Volume of cubical container = 10 × 10 × 10 = 1000 cm³

It is given that cubical container contains 1 litre of water.

(1 litre = 1000 cm³)

∴ Spherical container of radius 10.5 cm contains equal 4/3 × (≠π)³

= 4/3 × 22/7 × 10.5 × 10.5 × 10.5

= 4851 cm³ = 4.851 liters

So, it will contain more than 4.5 litres but less than 5 liters of water.

37. Which one of the following sites does not have coral reef formation?

(a) Gulf of Cambay/ Khambhat
(b) Gulf of Mannar
(c) Lakshadweep
(d) Andaman and Nicobar Islands

Correct Answer: (a) Gulf of Cambay/ Khambhat

Solution:Coral Reef: is an underwater ecosystem characterized by reef-building corals. reefs are formed of colonies of coral polyps held together by calcium carbonate. Most coral reefs are built from story corals. Since Darwin identification of three classical reef formations, the flinging reef ground a volcano island becoming a barrier reef and then an atoll reef.

Scientists have identified further reef types which includes a barrier reef. Coral reefs are found in the Palk Bay, Gulf of Manner. Gulf of Kutch, Central West Coast of India, Lakshadweep and Andaman & Nicobar Islands. Hence, the (a) be the right answer.

38. Which of the following statements are appropriate to Mangrove Sites?

1. Mangrove plants require appropriate mix of saline water and freshwater.

2. Mangrove plants require mudflats to enable it to grow and develop.

3. Mangrove plants are found in the inter-tidal zones of sheltered coasts.

4. Mangrove vegetation has been reported in all the coastal States including Andaman and Nicobar Islands.

Select the correct answer using the code given below.

(a) 1 and 2 only
(b) 2, 3 and 4 only
(c) 1, 3 and 4 only
(d) 1, 2, 3 and 4

Correct Answer: (b) 2, 3 and 4 only

Solution:Mangrove; It is a shrub or tree that grows in coastal saline or brackish water. As in option A, it is given as freshwater hence it is a wrong explanation of the statement given.

It occurs worldwide in the tropics and subtropics mainly between latitudes 25º N and 25º S.
Mangrove are salt-tolerant trees also called halophytes and are adapted to live in harsh coastal conditions,
They contain a complex salt filtration system and a complex roof system to cope with salt immersion and wave action.
In India, it grows in West Bengal, Gujarat, Andaman & Nicobar Islands, Maharashtra, Odisha, Tamil Nadu, Goa, Kerala and Karnataka.

39. Which one of the following pairs is not correctly matched?

(a) Indira Gandhi Rashtriya Uran Akademi: Fursatganj
(b) National Flying Training Institute: Belgaum
(c) National Institute of Hydrology : Roorkee
(d) National Water Academy (Headquarters) : Khadakwasla

Correct Answer: (b) National Flying Training Institute: Belgaum

Solution:National Flying Training Institute-Belgaum

1. Indira Gandhi Rashtriya Uran Academic is situated in Fursatganj, Uttar Pradesh and was established in the year 1985.

2. National Flying Institute is situated in Gondia, Maharashtra in 1991.

3. National Institute of Hydrology is situated in Roorkee, Uttarakhand in 1978

4. National Water Academy (Headquarter) is situated at Khadakwaste in 1988.

40. The lowest temperature is observed/ recorded in which one of the following layers of the atmosphere?

(a) Stratosphere
(b) Mesosphere
(c) Thermosphere
(d) Troposphere

Correct Answer: (b) Mesosphere

Solution:

Troposphere: - it is the lowest layer of the atmosphere, extends up to 10Km above sea level, all-weather occurs in the lowest layer and it has a temperature of about -58 degrees Celsius.
Stratosphere: It extends from the top of the troposphere to about 50Km above sea level. There is an ozone layer is found there. The temperature decreases as we go higher in the stratosphere layer.
Thermosphere:- it extends to a height of 640Km. High-X-rays and UV radiations from the sun are absorbed in the sphere. Its temperature is about 1480 degrees Celsius.
Exosphere:- It extends to a height of 960Km beyond the thermosphere. The temperature ranges from about 300 degrees Celsius to 1650 degrees Celsius. It contains the trace of gases like oxygen, nitrogen, argon, helium.
Mesosphere:- It extends above the height of 85Km above the earth. Meteors burn up in the mesosphere the coldest temperature is found on the layer and the temperature is about -90 degrees Celsius.

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