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3051.

A stone is dropped from the tip of a tower with zero initial velocity. It reaches the ground in 4 second: Then the Height of the tower is (g = 9.8 ms-2 )1) 176:4 m2) 78.4 m3) 39.2 m4) 384.1 m

Answer»

Correct option is 2) 78.4 m

3052.

Extraction of highly electropositive metal is done by (a) Electrolysis of aqueous solution of metal chloride (b) Electrolysisi of molten metal chloride(c) Carbon reduction of the oxide of the metal (d) Strongly heating the oxide of the metal

Answer»

(b) Electrolysisi of molten metal chloride

3053.

The diameter of roller is 1 meter and length is 2.8 meter. If it roles 100 rounds in a same direction. How many square meter does if press? (a) 440 sq meter (b) 220 sq meter (c) 880 sq meter (d) 4400 sq meter

Answer»

(c) 880 sq meter

3054.

In an AP, the common difference is double the first term. If first term is ‘a’ then the nth term is 1) 2 an 2) (2n + 1) a 3) (2n – 1)a 4) 2(n + 1)a

Answer»

Correct option is 3) (2n – 1)a

3055.

If a + b + c = 0 a2 + b2 +c2 = 10 , then the value of a4 + b4 + c4 is ...(1) 50 (2) 25 (3) 75 (4) 100

Answer»

Correct option is (1) 50

3056.

The average age of three girls is 15 years. If their ages are in the ratio 3 : 5 : 7, then the age of the youngest girl among them is .. (1) 12 years (2) 10 years (3) 9 years (4) 8 years

Answer»

Correct option is (3) 9 years

3057.

The value of cosec (75 + θ) - sec(15 - θ) - tan(55 + θ) + cot(35 - θ) is (1) – 1 (2) 0 (3) 1(4) 3 / 2

Answer»

Correct option is (2) 0 

3058.

Which one of the following combinations is false? Solution typeParticle size 1) Colloidal solution10−5 to 10-7 cm2) True solution10−7 to 10−8 cm 3) Suspension10−9 to 10−12 cm 4) All are correct combinations

Answer»

 

(3)

3) Suspension 10−9 to 10−12 cm

Collidal solution = 10-5 - 10-7 cm

True solutions = less than 10-7 cm

Suspensions = greater than 10-5 cm

3059.

A battery whose emf is 40 V has an internal resistance 5 Q. If this battery is connected across a 15 Q resistor (R) what will be voltage drop across resistor (R)? (1) 10 V (2) 30 V (3) 40 V (4) 50 V

Answer»

Correct option is (2) 30 V

3060.

A beam of light in air is incident upon the smooth plane surface of a piece of flint glass making an angle of 30° with its plane. If the reflected beam and refracted beam are perpendicular to each other, what is the index of refraction of flint glass with respect to air ? (1) 1/2 (2) √3 /2 (3) 2 /√3 (4) √3

Answer»

Correct option is (4) √3

3061.

Which of the following is the correct statement? I) The peninsular plateau is one of the most ancient land blocks on the earth’s surface. II) One of the remarkable features of the peninsular plateau is black soils formed due to volcanic activity. 1) Only I is true 2) Only II is correct 3) I and II are correct 4) I and II are incorrect

Answer»

3) I and II are correct

3062.

Population change in a place is 1) (No. of births + No. of in migrants) + (No. of births + No. of out migrants) 2) (No. of births - No. of in migrants) - (No. of births - No. of out migrants) 3) (No. of births + No. of in migrants) - (No. of deaths + No. of out migrants) 4) (No. of births - No. of in migrants) - (No. of deaths + No. of out migrants)

Answer»

3) (No. of births + No. of in migrants) - (No. of deaths + No. of out migrants)

3063.

In the following diagram, ABC are :(1) Cotyledon, Plumule, Radicle (2) Plumule, Radicle, Cotyledon (3) Radicle, Cotyledon, Plumule (4) Plumule, Cotyledon, Radicle

Answer»

Correct option (4) Plumule, Cotyledon, Radicle

Explanation:

The upper part of embryonal axis is Plumule, which forms the shoot system, while lower part is called as Radicle, which forms root system. Cotyledons are present on both sides and are responsible for food storage. 

3064.

Which of the following is nota redox reaction? (A) 2Mg + O2 → 2MgO (B) CaCO3 + 2HCl → CaCl2 + CO2 + H2O (C) 2CuCl2 → Cu2Cl2 + Cl2 (D) SO2 + I2 + 2H2O → H2SO4 + 2HI

Answer»

(B) CaCO3 + 2HCl → CaCl2 + CO2 + H2

3065.

It is printed on a paper that "The length of a diagonal of a rectangle is 10 cm and its area is 62.5 sq. cm". Then which one of the following statements is true? (a) The perimeter of the rectangle is 30 cm. (b) The sum of the length and breadth is 20 cm. (c) The difference of the length and breadth is 5 cm. (d) No such rectangle can exist.

Answer»

(a) The perimeter of the rectangle is 30 cm.

3066.

The mountains along the eatern boundary of India is called : (A) Uttranchal (B) Purvanchal (C) Pir Panjal (D) Khangra

Answer»

Correct option is (B) Purvanchal

3067.

Kundah Hydro – Power plant generates its power from the river: (A) Kaveri (B) Vaigai (C) Bhavani (D) Aliyar

Answer»

Correct option is (C) Bhavani

3068.

World Earth Day is celebrated on: (A) June 5th (B) April 22nd (C) September 16th (D) October 24th

Answer»

Correct option is (B) April 22nd

3069.

The strong and hot dry winds that blow during day time over Northern and North – Western part of India is known as: (A) Tropical cyclone (B) Loo winds (C) Western disturbance (D) Retreating monsoon winds

Answer»

Correct option is (B) Loo winds

3070.

Petroleum is mined from the layers of: (A) Sedimentary rocks (B) Igneous rocks (C) Metamorphic rocks (D) Primary rocks

Answer»

(A) Sedimentary rocks

3071.

A train cross a pole in 12 seconds. If the speed of the train is 54 km/hr then length of train will be (1) 648 meter (2) 150 meter (3) 180 meter (4) 100 meter

Answer»

(3) 180 meter

54 km/hr = ( 54 x 5/18) m/s = 15 m/s

∴ Length of train = (15 x 12) m

= 180 m 

3072.

If the sum of the digits of a two digit number is 9 and the difference between the number and that formed by reversing the digits is 45 then number is (1) 81 (2) 72 (3) 45 (4) 54

Answer»

(2) 72

x + y = 9

(10x + y) - (10 y + x) = 45

9(x - y) = 45

x - y = 5

∴ x = 7 , y = 2

∴ 72 is the number

3073.

Which one of the following Indian trees/plants is not found in the red data book (red list book) published by International Union for Wild Life Conservation? 1) Cycas 2) Rauvolfia 3) Nepenthes 4) Hibiscus

Answer»

Correct answer is 4) Hibiscus 

3074.

Capital requirement of “NABARD” (National Bank of Agriculture and Rural Development) are met by which of the following institution – (1) Reserve Bank of India (2) International Development Association (IDA) (3) World Bank (4) All of above

Answer»

(1) Reserve Bank of India 

3075.

What is the mass of 2.5 moles of CO2 ? (1) 100 g (2) 110 g (3) 88 g (4) 98 g

Answer»

 (2) 110 g

One mole CO2 = 44 g

⇒ 2.5 moles = 2.5 × 44

= 110 g of CO2.

3076.

If xy + yz + zx = 0, then the value of \((\cfrac{1}{x^2-yz}+\cfrac{1}{y^2-zx}+\cfrac{1}{z^2-xy})\)(1) 3 (2) 0 (3) 1 (4) x + y + z

Answer»

Correct option is (2) 0

3077.

If cosθ + secθ = 2, then cos10θ + sec11θ = …3 (1) 0 (2) 1 (3) 2 (4) – 1

Answer»

Correct option is (3) 2

3078.

How many numbers lie between 10 to 300, which when divided by 4 leave a remainder 3. (1) 71 (2) 72 (3) 73 (4) 74

Answer»

Correct option is (3) 73

3079.

Identify the statement which relates to ‘Optimum population’? (1) Available resources are not used enough (2) Creates stress on available resources (3) Population is not enough to consume resources completely (4) Indicates ideal size of population of a country

Answer»

(4) Indicates ideal size of population of a country

3080.

How many numbers between 10 to 300. When divided by 4, leave remainder 3? (1) 71 (2) 72 (3) 73 (4) 74

Answer»

Correct option is (3) 73

3081.

Which of the following are the roots of the quadratic equation x2 + 2√2x - 6 = 0 ? (1) −3√2, √2 (2) 3√2, - 2√2 (3) 3, 2 (4) 3, 2√2

Answer»

Correct option is (1) −3√2, √2 

x2 + 2√x - 6 = 0

⇒ x2 + 3√2x - √2x - 6 = 0

⇒ (x - √2) (x + 3√2) = 0

x = √2 , -3√2

3082.

The expenditure incurred on different items in a family is shown in the adjacent pie diagram. If the amount of house rent is ₹ 10, 000 then find the amount incurred on education. (1) ₹ 20, 000 (2) ₹ 32, 000 (3) ₹ 72, 000 (4) ₹ 30, 000

Answer»

(1) ₹ 20, 000

50 → 10,000/- 

100 → 20,000/-

3083.

A train travels some distance at a constant speed. If the speed of the train would have increased by 15 km/hr, then it would have required 2 hours less. But if the speed of the train would have decreased by 5 km then to cover the same distance it would have required 1 hour more. Find the distance covered by the train. (1) 120 km (2) 240 km (3) 360 km (4) 400 km

Answer»

Correct option is (3) 360 km

Speed x km/hr distance = y km 

Speed = (x + 15)

\(\frac{\text{y}}{\text{x+5}}=\frac{\text{y}}{\text{x}}\) - 2

⇒ xy = (x + 15) (y - 2x)

⇒ xy = xy + 15y - 2x2 - 30x

⇒ 15y = 2x2 + 30x

Speed = (x – 15) km/hr

\(\)\(\frac{\text{y}}{\text{x-5}}=\frac{\text{y}}{\text{x}}\) + 1

xy = (x - 5) (y + 5)

⇒ xy = xy + x2 - 5y - 5x

⇒ 5y = x- 5x

⇒ 15y = 3x- 15x

∴ 3x- 15x = 2x+ 30x

⇒ x- 45x = 0

x = 0, x = 45

∴ y = \(\frac{(45)^2}{5}\) - 45 = 405 - 45 = 360 km

3084.

There are 50 cards marked with the numbers 1 to 50. One card is drawn at random. What is the probability that number on the Card is a prime number? (1) 3 /10 (2) 1 /5 (3) 1 /4 (4) 2 /15

Answer»

Correct option is (1) 3 /10

n(S) = 50 

E = {2, 3, 5, 7, 11, 13, 17, 19, 23, 2, 31, 37, 41, 43, 47} 

n(E) = 15

∴ P(E) = 15/20 = 3/10

3085.

The number obtained by adding 12 to a natural number is 160 times of the multiplicative inverse of that natural number. Find the number. (1) 20 (2) 16 (3) 12 (4) 8

Answer»

Correct option is (1) 20

x + 12 = 160 x 1/x

⇒ x2 + 12x = 160

⇒ x2 + 12x - 160 = 0

⇒ x2 + 20x - 8x - 160 = 0

⇒ x (x + 20) - 8 (x + 20) = 0

x = 8, x = -20

x = 8

∴ Number = 8 + 12 = 20

3086.

The valency of the element with atomic number ‘10’ is…… (1) 2 (2) 8 (3) 10 (4) 0

Answer»

Correct option is (4) 0

3087.

The impurity present in the ore is called… (1) gangue (2) flux (3) slag (4) mineral

Answer»

Correct option is (1) gangue

3088.

Who is the Chief Commander of Indian Armu (1) Prime Minister (2) Defence Minister (3) President (4) Vice President

Answer»

Correct option is (3) President

3089.

Cross-examination failed to … any useful information. (1) Illicit (2) illicit (3) Elicit (4) Elucit

Answer»

Correct option is (1) Illicit

3090.

Select the word which means the opposite of the given word. 1. Ample (1) Scant (2) Inflated (3) Capacious (4) Expanded 2. Disparage (1) Abuse (2) Decry (3) Applaud (4) Malign 3. Refrain (1) Abstain (2) Continue (3) Avoid (4) Cease

Answer»

1. (1) Scant

2. (3) Applaud

3. (2) Continue

3091.

Select the word which means the opposite of the given word. 1. Besiege (1) Defend (2) Guard (3) Protect (4) Attack 2. Garrulous (1) Blunt (2) Chattering (3) Reserved (4) Terse3. Wretched (1) Despicable (2) Excellent (3) Animated (4) Lively

Answer»

1. (4) Attack

2. (2) Chattering

3. (1) Despicable

3092.

If Sand is coded as Brick, Brick as House, House as Temple, Temple as Palace then where do you worship? (1) Palace (2) Temple (3) Brick (4) House

Answer»

Correct option is (1) Palace

3093.

Where the first mobile bank was established? (A) in Ahmadnagar district of Maharashtra (B) in Khargone district of Madhya Pradesh (C) in Kota district of Rajasthan (D) in Mysore district of Karnataka 

Answer»

(B) in Khargone district of Madhya Pradesh 

3094.

Human Development Report is published by (1) UNDP (2) World Bank (3) Government of the country (4) Central bank of the country

Answer»

Correct option is (1) UNDP

3095.

Reserve Bank of India grants loans to (1) General public (2) Private companies (3) Commercial banks (4) All of these

Answer»

(3) Commercial banks

3096.

Which of the following is NOT under concurrent list? (1) Trade Unions (2) Agriculture (3) Marriage(4) Adoption and Succession

Answer»

Correct option is  (2) Agriculture

3097.

Who among the following is a part of the political executive ? 1) District Collector. 2) Secretary of the Ministry of Home Affairs. 3) Home Minister 4) Director General of Police.

Answer»

3) Home Minister

3098.

Which of these is not a good reason to say that Indian elections are democratic ? 1) India has the largest number of voters in the world. 2) India's Election Commission is very powerful. 3) In India, every one above the age of 18 has a right to vote. 4) In India, the losing parties accept the electoral verdict.

Answer»

1) India has the largest number of voters in the world.

3099.

Which of the following statements is not a character of democratic elections? (1) Everyone should have one vote and every vote should have qual value. (2) Elections must be held regularly after every few years. (3) The candidate preferred by the people should get elected. (4) The contestant can canvas on the grounds of caste

Answer»

(4) The contestant can canvas on the grounds of caste

3100.

Which of the following statements is wrong about today’s world?(1) The relationship between different countries has become more democratic than ever before. (2) In more and more countries, rulers are being elected by the people. (3) There are no military rulers in the world. (4) None of the above.

Answer»

(3) There are no military rulers in the world.