5994 + Interview Questions in GENERAL QA IN NTSE Page 18 InterviewSolution

851.	Water is stored in a dam at a height above the ground. This stored water possesses (A)Potential energy (B) Electrical energy (C) Heat energy (D)Kinetic energy
Answer» (A) Potential energy

Discussion

852.	“Cards marked with numbers 13, 14, 15,……,60 are placed in a box and mixed thoroughly. One card is drawn at random from the box.” Read the information carefully and match the following.1) p → iv , q → iii , r ii , s→ i 2) p → iii , q → ii r → iv , s → i 3) p → i , q → ii, r → iii s → iv 4) p→ ii, q → iv, r → i , s → iii
Answer» 4) p→ ii, q → iv, r → i , s → iii (i) Numbers divisible by 5 : 15, 20, ….., 60 = 10 numbers Total numbers = 60 – 12 = 48 Probability = 10/48 = 5/24 (ii) Primes: 13, 17, 19, 23, 29, 31, 37, 41, 47, 53, 59 Total = 12 P = 12/48 = 1/4 (iii) Multiples of 19 = 19, 38, 57 P = 1 – Probability of prime = 1 - 1/4 = 3/4 = 36/48

852.

“Cards marked with numbers 13, 14, 15,……,60 are placed in a box and mixed thoroughly. One card is drawn at random from the box.” Read the information carefully and match the following.1) p → iv , q → iii , r ii , s→ i 2) p → iii , q → ii r → iv , s → i 3) p → i , q → ii, r → iii s → iv 4) p→ ii, q → iv, r → i , s → iii

Answer»

4) p→ ii, q → iv, r → i , s → iii

(i) Numbers divisible by 5 : 15, 20, ….., 60 = 10 numbers

Total numbers = 60 – 12 = 48

Probability = 10/48 = 5/24

(ii) Primes: 13, 17, 19, 23, 29, 31, 37, 41, 47, 53, 59

Total = 12

P = 12/48 = 1/4

(iii) Multiples of 19 = 19, 38, 57

P = 1 – Probability of prime = 1 - 1/4 = 3/4 = 36/48

Discussion

853.	A pair of linear equations in two variables can be represented by two straight lines. In case of which pair of equations do the straight lines, coincide?(A) 2x + 3y – 9 = 0 and 4x + 6y – 18 = 0 (B) 5x – 4y + 8 = 0 and 7x + 6y – 9 = 0 (C) 2x – y + 9 = 0 and 6x – 3y + 10 = 0 (D) 2x – 3y = 7 and 3x + 2y = 5
Answer» (A) 2x + 3y – 9 = 0 and 4x + 6y – 18 = 0

Discussion

854.	If ROSE is coded as 6821, CHAIR as 73456, FRENCH as 961473 then SEARCH will be coded as: (A) 246173 (B) 214678 (C) 214763 (D) 214673
Answer» Correct option is (D) 214673

Discussion

855.	Find incorrect spelling word (A) Diphtheria (B) Repetition (C) Superintendent (D) Vaccum
Answer» Correct option is (D) Vaccum

Discussion

856.	Identify the correct choice of matched items in column – ‘A’ with those of Column – ‘B’Column – AColumn – BA. White Revolutioni. Production of EggsB. Silver Revolutionii. Production of Oil seedsC. Golden Revolutioniii. Production of MilkD. Red Revolutioniv. Production of Meatv. Production of Flowers/FruitsChoices:1) A – I, B – III, C – V, D – II 2) A – III, B – IV, C – I, D – II 3) A – I, B – III, C – V, D – IV4) A – III, B – I, C – V, D – IV
Answer» 4) A – III, B – I, C – V, D – IV

Discussion

857.	Choose the correct sequence to indicate the following statements as True (T) or False (F).A. In Public Finance Government calculates their income before hand and then spend it accordinglyB. Public Financial transactions are kept confidentialC. In Public Finance, when government saves money, growth is stunted Choices:1) TTF2) FFT3) TFT4) FTF
Answer» Correct option is 2) FFT

Discussion

858.	The main objective of ‘PURA’ project is 1) to provide shelter for shelterless people in Urban areas 2) to eliminate rural poverty and unemployment 3) to provide Urban amenities in rural areas 4) expansion and modernization of Urban areas
Answer» 2) to eliminate rural poverty and unemployment

Discussion

859.	The acronym ‘SONAR’ stands for (A) Sound Navigation and Ranging (B) Solar Navigation and Ranging (C) Sound Navigation and Nuclear Reaction (D) Sound Navigation and Rectification
Answer» (A) Sound Navigation and Ranging

Discussion

860.	Which one of the following alternating current is supplied in our house hold circuits? (1) 110 V and 50 Hz (2) 220 V and 60 Hz (3) 110 V and 60 Hz (4) 220 V and 50 Hz
Answer» (4) 220 V and 50 Hz AC supply in India is at 220 V and 50 Hz.

860.

Which one of the following alternating current is supplied in our house hold circuits? (1) 110 V and 50 Hz (2) 220 V and 60 Hz (3) 110 V and 60 Hz (4) 220 V and 50 Hz

Answer»

(4) 220 V and 50 Hz

AC supply in India is at 220 V and 50 Hz.

Discussion

861.	People will catch the thief, … ? (1) will not they (2) will they (3) won’t they (4) don't they
Answer» (3) won’t they

Discussion

862.	Raman can speak, Telugu …… Marathi and English. (1) besides (2) with (3) beside (4) alongside
Answer» Correct option is (1) besides

Discussion

863.	A Car of length 3 in moves at a constant velocity 36km/hr. A man wants to take a photo of side view of the car. The size of the image of the car is 1.5 cm long. The time of exposure needed for the car to get a clear picture, if the image should not Move more than.0.1 mm, is ……1) 1.5 x 10-3 S 2) 3 x 10-3 S3) 2.8 x 10-3 S4) 2 x 10-3 S
Answer» Correct option is 4) 2 x 10^-3 S

Discussion

864.	A total of 380 coins of 25 paise and 50 paise coins make a sum of Rs 130. The number of 50 paise coins is: (A) 140 (B) 180 (C) 120 (D) 110
Answer» Correct option is (A) 140

Discussion

865.	The total number squares in the figure is (A) 6 (B) 9 (C) 8 (D) 3
Answer» Correct option is (B) 9

Discussion

866.	The roots of the quadratic equation x2 - 4 x - log3 a = 0 are real. Then what is the least value of a? (A) 64 (B) 1/81 (C) 1/64 (D) 81
Answer» Correct option is (B) 1/81

866.

The roots of the quadratic equation x2 - 4 x - log3 a = 0 are real. Then what is the least value of a? (A) 64 (B) 1/81 (C) 1/64 (D) 81

Answer»

Correct option is (B) 1/81

Discussion

867.	Angle between the lines 6 + x = 0 and 3 - y = 0 will be (1) 0° (2) 90° (3) 180° (4) 60°
Answer» Correct option is (2) 90°

Discussion

868.	The unit digit of (168)156 is : (A) 8 (B) 6 (C) 4 (D) 2
Answer» Correct option is (B) 6

Discussion

869.	If the roots of the equation x2- 2bx + 8 = 0 are real, then ‘b’ must be 1) > 2√2 2) < 2√2 3) > 0 4) < 0
Answer» Correct option is 1) > 2√2

Discussion

870.	\(\sqrt{8+2\sqrt{15}}-\sqrt{8-2\sqrt{15}}\) is 1) 2√5 2)√8 3) √12 4) √5
Answer» Correct option is 3) √12

Discussion

871.	A ball thrown vertically upward returns to the thrower after 6s. The ball is 5m below the highest point at t = 2s. The time at which the body will be at same position, (take g = 10 m/s2 ) 1. 2.5s 2. 3s 3. 4s 4. 5s
Answer» Correct option is 3. 4s

Discussion

872.	An ant runs from an ant-hill in a straight line so that its velocity is inversely proportional to the distance from the center of ant-hill. When the ant is at a point A at a distance 1m from the center of the hill, its velocity is 2 cm/s. Point B is at a distance of 2 m from the center of the anthill. The time taken by the ant to run from A to B is ……. a) 25s b) 75s c) 55s d) 65s
Answer» Correct option is b) 75s

Discussion

873.	The mean free path of molecules of a gas (radius r) is inversely proportional to : (A) r 3 (B) r 2 (C) r (D) r 1/2
Answer» Correct option is (B) r ²

Discussion

874.	River Damodar is a tributary of River : (A) Ganga(B) Swarnrekha (C) Barakar (D) Hooghly
Answer» Correct option is (D) Hooghly

Discussion

875.	Which cities are to be connected by Golden Quadrilateral Super Highways – Name of Cities : (i) Delhi (ii) Mumbai (iii) Bengaluru (iv) Mysore (v) Chennai (vi) Kolkata Select the correct answer from the following options : (A) (i), (ii), (iii) & (iv) (B) (ii), (iii), (iv) & (v) (C) (i), (ii), (v) & (vi) (D) (ii), (iii), (iv) & (v)
Answer» (C) (i), (ii), (v) & (vi)

Discussion

876.	Which of these national highways is NOT related to Golden Quadrilateral project? (1) National Highway Number 2 (2) National Highway Number 3 (3) National Highway Number 4 (4) National Highway Number 1
Answer» (2) National Highway Number 3

Discussion

877.	Nanda Devi biosphere reserve is located in ____ (1) West Bengal (2) Meghalaya (3) Kerala (4) Uttarakhand
Answer» (4) Uttarakhand

Discussion

878.	Nanda Devi biosphere is situated in the state of : (1) Nagaland (2) Arunachal Pradesh (3) Tripura (4) Uttarakhand
Answer» (4) Uttarakhand

Discussion

879.	Characters transmitted from parents to offspring are present in (1) Cytoplasm (2) Ribosome (3) Golgi Bodies (4) Genese
Answer» Correct option is (4) Genese

Discussion

880.	Characters that are transmitted from parents to offspring during reproduction show: 1. Only similarities with parents 2. Only variations with parents 3. Both similarities and variation with parents 4. Neither similarities nor variations with parents
Answer» 3. Both similarities and variation with parents both similarities and variation are transmitted from parents to offspring during reproduction.

880.

Characters that are transmitted from parents to offspring during reproduction show: 1. Only similarities with parents 2. Only variations with parents 3. Both similarities and variation with parents 4. Neither similarities nor variations with parents

Answer»

3. Both similarities and variation with parents

both similarities and variation are transmitted from parents to offspring during reproduction.

Discussion

881.	For each of the following groups of four words, find the incorrectly spelt word. 1. (1) strategy (2) strenth (3) strictly (4) stretch 2. (1) rushed (2) routine (3) rubbish (4) runner
Answer» 1. (2) strenth 2. (4) runner

881.

For each of the following groups of four words, find the incorrectly spelt word. 1. (1) strategy (2) strenth (3) strictly (4) stretch 2. (1) rushed (2) routine (3) rubbish (4) runner

Answer»

1. (2) strenth

2. (4) runner

Discussion

882.	For each of the following groups of four words, find the incorrectly spelt word1. 1) apparent 2) pleasent 3) different 4) independent2. 1) exceeding 2) succeeding 3) proceeding 4) preceeding3. 1) occasion 2) accountant 3) neccessary 4) accident4. 1) importance 2) insistance 3) appearance 4) tolerance
Answer» 1. 2) pleasent 2. 4) preceeding 3. 3) neccessary 4. 2) insistance

882.

For each of the following groups of four words, find the incorrectly spelt word1. 1) apparent 2) pleasent 3) different 4) independent2. 1) exceeding 2) succeeding 3) proceeding 4) preceeding3. 1) occasion 2) accountant 3) neccessary 4) accident4. 1) importance 2) insistance 3) appearance 4) tolerance

Answer»

1. 2) pleasent

2. 4) preceeding

3. 3) neccessary

4. 2) insistance

Discussion

883.	For each of the following groups of four words, find the incorrectly spelt word. 1. (1) embarassed (2) questionnaire ( 3 ) immediately (4) mischeivous 2. (1) guaranty (2) colleague (3) changeable equipment (4) possession 3. (1) dicsipline (2) possession (3) cemetery (4) committee 4. (1) competent (2) maintenance (3) fulfillment ( 4 ) homogenous
Answer» 1. (4) mischeivous 2. (1) guaranty 3. (1) dicsipline 4. (4) homogenous

883.

For each of the following groups of four words, find the incorrectly spelt word. 1. (1) embarassed (2) questionnaire ( 3 ) immediately (4) mischeivous 2. (1) guaranty (2) colleague (3) changeable equipment (4) possession 3. (1) dicsipline (2) possession (3) cemetery (4) committee 4. (1) competent (2) maintenance (3) fulfillment ( 4 ) homogenous

Answer»

1. (4) mischeivous

2. (1) guaranty

3. (1) dicsipline

4. (4) homogenous

Discussion

884.	The gaseous hydrogen acetylene, C2H2 used in welder’s torches, releases 1300 KJ, when 1 mole of C2H2 undergoes combustion, then which of the following is not true? 1) combustion of acetylene is an exothermic reaction 2) the balanced chemical reaction of combustion of acetylene is C2 H2 + 5O2 → 2CO2 + H2O3) 2 moles of water produced when 2 moles of acetylene reacts 4) 44 g of CO2 produced, when 13 g of acetylene reacts
Answer» 2) the balanced chemical reaction of combustion of acetylene is C₂ H₂ + 5O₂→ 2CO₂ + H₂O 2C₂H₂ + 5O₂ → 4CO₂ + 2H₂O is a balanced chemical reaction.

884.

The gaseous hydrogen acetylene, C2H2 used in welder’s torches, releases 1300 KJ, when 1 mole of C2H2 undergoes combustion, then which of the following is not true? 1) combustion of acetylene is an exothermic reaction 2) the balanced chemical reaction of combustion of acetylene is C2 H2 + 5O2 → 2CO2 + H2O3) 2 moles of water produced when 2 moles of acetylene reacts 4) 44 g of CO2 produced, when 13 g of acetylene reacts

Answer»

2) the balanced chemical reaction of combustion of acetylene is C₂ H₂ + 5O₂→ 2CO₂ + H₂O

2C₂H₂ + 5O₂ → 4CO₂ + 2H₂O is a balanced chemical reaction.

Discussion

885.	If a and b are rational numbers and \(\frac{(3+√5)}{(3-√5)}\) = a + b√5, then the values of a and b are(A) \(a=\frac{5}{2}\,\, and \,\,b=\frac{3}{2}\)(B) \(a=\frac{7}{2}\,\, and \,\,b=\frac{3}{2}\)(C) \(a=\frac{1}{2}\,\, and \,\,b=\frac{5}{2}\)(D) \(a=\frac{3}{2}\,\, and \,\,b=\frac{1}{2}\)
Answer» (B) \(a=\frac{7}{2}\,\, and \,\,b=\frac{3}{2}\)

Discussion

886.	Which are the 2 factors that we get when the below expression is factorized? 4(3a - 2)2 - 3(3a - 2) (a +5) - 7(a+5)2(A) (a + 3) and (19a – 3)(B) (4a + 8) and (19a + 43) (C) (a + 3) and (a – 43) (D) (4a + 3) and (5a – 43)
Answer» (D) (4a + 3) and (5a – 43)

Discussion

887.	Consider the following statements: (i) If the angles subtended by the chords of a circle at the centre are equal, then the chords are equal (ii) If two chords of a circle are equal, then their corresponding acrs are congruent. Which of the following is CORRECT?(A)Both (i) and (ii) are TRUE (B) (i) is TRUE and (ii) is FALSE (C) (i) is FALSE and (ii) is TRUE (D)Both (i) and (ii) are FALSE
Answer» (A) Both (i) and (ii) are TRUE

Discussion

888.	The curved surface area of a regular cylinder is given by 4πa2 + 4πa - 3π Then the possible expressions for the base radius and height of the cylinder are ………. 1) Radius = 2a – 1, height = 2a + 3 2) Radius = 1/2 , height = 4a2 + 4a - 33) Both options (1) and (2) 4) Only option (2)
Answer» 4) Only option (2) CSA = 2πr x h = 4πa²+ 4πa - 3π ⇒ 2rh = 4a² + 4a - 3 = 4a² + 5a - 2a - 3 = 2a (2a + 3) - (2a + 3) 2rh = (2a - 1) (2a + 3) r = 1 / 2 , h = 4a² + 4a - 3

888.

The curved surface area of a regular cylinder is given by 4πa2 + 4πa - 3π Then the possible expressions for the base radius and height of the cylinder are ………. 1) Radius = 2a – 1, height = 2a + 3 2) Radius = 1/2 , height = 4a2 + 4a - 33) Both options (1) and (2) 4) Only option (2)

Answer»

4) Only option (2)

CSA = 2πr x h = 4πa²+ 4πa - 3π

⇒ 2rh = 4a² + 4a - 3 = 4a² + 5a - 2a - 3 = 2a (2a + 3) - (2a + 3)

2rh = (2a - 1) (2a + 3)

r = 1 / 2 , h = 4a² + 4a - 3

Discussion

889.	The value of Sin2 5° + sin2 10° + sin2 15° + ...... + sin2 90° = ...........1) 23 / 2 2) 21 / 2 3) 19 / 2 4) 17 / 2
Answer» Correct answer is 3) 19 / 2 Sin² 5° + sin² 10° + sin² 15° + ...... + sin²90° = Sin² 5° + sin² 10° + sin 15° + ...... + sin²40° + sin²45° + sin²90° + cos²40° + cos² 35° + ..... + cos²5° = 8 + 1 / 2 + 1 = 19 / 2

889.

The value of Sin2 5° + sin2 10° + sin2 15° + ...... + sin2 90° = ...........1) 23 / 2 2) 21 / 2 3) 19 / 2 4) 17 / 2

Answer»

Correct answer is 3) 19 / 2

Sin² 5° + sin² 10° + sin² 15° + ...... + sin²90°

= Sin² 5° + sin² 10° + sin 15° + ...... + sin²40° + sin²45° + sin²90°

+ cos²40° + cos² 35° + ..... + cos²5°

= 8 + 1 / 2 + 1 = 19 / 2

Discussion

890.	If the difference between diameter and circumference of a circle is 60 cm. then the area of the circle is (a) 661 square cm (b) 166 square cm (c) 616 square cm (d) 484 square cm
Answer» (c) 616 square cm

Discussion

891.	Read the statement carefully and find out correct alternative given for the question and write correct alternative number on your answer sheet against the corresponding question- Sam’s age is one fourth of Ali’s age. Sam is eleven years elder to Rahul but Deepak is five years younger to Rahul then- 1. Who is eldest (1) Ali (2) Sam (3) Deepak (4) Rahul 2. Who is youngest (1) Ali (2) Sam (3) Deepak (4) Rahul 3. If Deepak’s age is nine years, what is teh age of Ali? (1) 85 yrs (2) 90 yrs (3) 97 yrs (4) 100 yrs 4. What is the difference between the age of Sam and Deepak? (1) 16 yrs (2) 9 yrs (3) 11 yrs (4) 5 yrs 5. If Deepak’s age is eight years, how many years is Ali elder to Deepak? (1) 92 yrs (2) 88 yrs (3) 80 yrs (4) 78 yrs
Answer» 1. (1) Ali Let R = 10 D = 5 S = 21 A = 84 2. (3) Deepak Let R = 10 D = 5 S = 21 A = 84 3. (4) 100 yrs Let R = 10 D = 5 S = 21 A = 84 4. (1) 16 yrs Let R = 10 D = 5 S = 21 A = 84 5. (2) 88 yrs Let R = 10 D = 5 S = 21 A = 84

891.

Read the statement carefully and find out correct alternative given for the question and write correct alternative number on your answer sheet against the corresponding question- Sam’s age is one fourth of Ali’s age. Sam is eleven years elder to Rahul but Deepak is five years younger to Rahul then- 1. Who is eldest (1) Ali (2) Sam (3) Deepak (4) Rahul 2. Who is youngest (1) Ali (2) Sam (3) Deepak (4) Rahul 3. If Deepak’s age is nine years, what is teh age of Ali? (1) 85 yrs (2) 90 yrs (3) 97 yrs (4) 100 yrs 4. What is the difference between the age of Sam and Deepak? (1) 16 yrs (2) 9 yrs (3) 11 yrs (4) 5 yrs 5. If Deepak’s age is eight years, how many years is Ali elder to Deepak? (1) 92 yrs (2) 88 yrs (3) 80 yrs (4) 78 yrs

Answer»

1. (1) Ali

Let R = 10

D = 5

S = 21

A = 84

2. (3) Deepak

Let R = 10

D = 5

S = 21

A = 84

3. (4) 100 yrs

Let R = 10

D = 5

S = 21

A = 84

4. (1) 16 yrs

Let R = 10

D = 5

S = 21

A = 84

5. (2) 88 yrs

Let R = 10

D = 5

S = 21

A = 84

Discussion

892.	A mother was 30 years old when her son was bon. Now the sum of ages of mother and son is 40 years. What would be the age of the son after 10 years? (a) 5 years (b) 15 years (c) 20 years (d) 10 years
Answer» (b) 15 years

Discussion

893.	x5 - 1 is divided by 2x + 1, them the absolute value of the remainder is(a) 21 (b) 26(c) 33 / 12(d) 33 / 22
Answer» Correct option is (D) 33 / 22

Discussion

894.	An induced current is produced when a magnet is moved into a coil. The magnitude of induced current does not depend on (A) The speed with which the magnet is moved (B) The resistivity of the wire of the coil (C) The number of turns of the coil (D) The strength of the magnet
Answer» (C) The number of turns of the coil

Discussion

895.	A positively charged particle (alpha particle) projected towards west is deflected towards north by magnetic field. The direction of magnetic field Is 1. Downwards 2. Towards South 3. Towards East 4. Upwards
Answer» Correct option is 4. Upwards

Discussion

896.	In a conducting wire 15 coulomb charge flows in 5 second. The current flowing in conductor is (A) 3 Ampere (B) 5 Ampere (C) 15 Ampere (D) 75 Ampere
Answer» Correct option is (A) 3 Ampere

Discussion

897.	“All India Trade Union Congress” (AITUC) was formed in (a) 1915 AD (b) 1920 AD (c) 1922 AD (d) 1928 AD
Answer» Correct option is (b) 1920 AD

Discussion

898.	There is an object in front of convex mirror at a distance of 5 cm. If its focal length is 10 cm, then its magnification is (A) 0.44 cm (B) 0.66 cm (C) 0.88 cm (D) none
Answer» Option is (D) none

Discussion

899.	The radius of curvature of a spherical mirror is 20 cm. what is its focal length? (A) 10 cm (B) 15 cm (C) 25 cm (D) none
Answer» Correct option is (A) 10 cm

Discussion

900.	Four positive integers a, b, c and d have a product of 8! And satisfy ab + a + b = 524 bc + b + c = 146 cd + c + d = 104 then find the value of a – d. (8! = 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8) (1) 4 (2) 6 (3) 8 (4) 10
Answer» Correct option is (4) 10

Discussion

Explore topic-wise InterviewSolutions in .

Water is stored in a dam at a height above the ground. This stored water possesses (A)Potential energy (B) Electrical energy (C) Heat energy (D)Kinetic energy

If ROSE is coded as 6821, CHAIR as 73456, FRENCH as 961473 then SEARCH will be coded as: (A) 246173 (B) 214678 (C) 214763 (D) 214673

Find incorrect spelling word (A) Diphtheria (B) Repetition (C) Superintendent (D) Vaccum

The main objective of ‘PURA’ project is 1) to provide shelter for shelterless people in Urban areas 2) to eliminate rural poverty and unemployment 3) to provide Urban amenities in rural areas 4) expansion and modernization of Urban areas

The acronym ‘SONAR’ stands for (A) Sound Navigation and Ranging (B) Solar Navigation and Ranging (C) Sound Navigation and Nuclear Reaction (D) Sound Navigation and Rectification

Which one of the following alternating current is supplied in our house hold circuits? (1) 110 V and 50 Hz (2) 220 V and 60 Hz (3) 110 V and 60 Hz (4) 220 V and 50 Hz

People will catch the thief, … ? (1) will not they (2) will they (3) won’t they (4) don't they

Raman can speak, Telugu …… Marathi and English. (1) besides (2) with (3) beside (4) alongside

A total of 380 coins of 25 paise and 50 paise coins make a sum of Rs 130. The number of 50 paise coins is: (A) 140 (B) 180 (C) 120 (D) 110

The total number squares in the figure is (A) 6 (B) 9 (C) 8 (D) 3

The roots of the quadratic equation x2 - 4 x - log3 a = 0 are real. Then what is the least value of a? (A) 64 (B) 1/81 (C) 1/64 (D) 81

Angle between the lines 6 + x = 0 and 3 - y = 0 will be (1) 0° (2) 90° (3) 180° (4) 60°

The unit digit of (168)156 is : (A) 8 (B) 6 (C) 4 (D) 2

If the roots of the equation x2- 2bx + 8 = 0 are real, then ‘b’ must be 1) &gt; 2√2 2) &lt; 2√2 3) &gt; 0 4) &lt; 0

\(\sqrt{8+2\sqrt{15}}-\sqrt{8-2\sqrt{15}}\) is 1) 2√5 2)√8 3) √12 4) √5

A ball thrown vertically upward returns to the thrower after 6s. The ball is 5m below the highest point at t = 2s. The time at which the body will be at same position, (take g = 10 m/s2 ) 1. 2.5s 2. 3s 3. 4s 4. 5s

The mean free path of molecules of a gas (radius r) is inversely proportional to : (A) r 3 (B) r 2 (C) r (D) r 1/2

River Damodar is a tributary of River : (A) Ganga(B) Swarnrekha (C) Barakar (D) Hooghly

Which of these national highways is NOT related to Golden Quadrilateral project? (1) National Highway Number 2 (2) National Highway Number 3 (3) National Highway Number 4 (4) National Highway Number 1

Nanda Devi biosphere reserve is located in ____ (1) West Bengal (2) Meghalaya (3) Kerala (4) Uttarakhand

Nanda Devi biosphere is situated in the state of : (1) Nagaland (2) Arunachal Pradesh (3) Tripura (4) Uttarakhand

Characters transmitted from parents to offspring are present in (1) Cytoplasm (2) Ribosome (3) Golgi Bodies (4) Genese

Characters that are transmitted from parents to offspring during reproduction show: 1. Only similarities with parents 2. Only variations with parents 3. Both similarities and variation with parents 4. Neither similarities nor variations with parents

For each of the following groups of four words, find the incorrectly spelt word. 1. (1) strategy (2) strenth (3) strictly (4) stretch 2. (1) rushed (2) routine (3) rubbish (4) runner

If a and b are rational numbers and \(\frac{(3+√5)}{(3-√5)}\) = a + b√5, then the values of a and b are(A) \(a=\frac{5}{2}\,\, and \,\,b=\frac{3}{2}\)(B) \(a=\frac{7}{2}\,\, and \,\,b=\frac{3}{2}\)(C) \(a=\frac{1}{2}\,\, and \,\,b=\frac{5}{2}\)(D) \(a=\frac{3}{2}\,\, and \,\,b=\frac{1}{2}\)

Which are the 2 factors that we get when the below expression is factorized? 4(3a - 2)2 - 3(3a - 2) (a +5) - 7(a+5)2(A) (a + 3) and (19a – 3)(B) (4a + 8) and (19a + 43) (C) (a + 3) and (a – 43) (D) (4a + 3) and (5a – 43)

The curved surface area of a regular cylinder is given by 4πa2 + 4πa - 3π Then the possible expressions for the base radius and height of the cylinder are ………. 1) Radius = 2a – 1, height = 2a + 3 2) Radius = 1/2 , height = 4a2 + 4a - 33) Both options (1) and (2) 4) Only option (2)

The value of Sin2 5° + sin2 10° + sin2 15° + ...... + sin2 90° = ...........1) 23 / 2 2) 21 / 2 3) 19 / 2 4) 17 / 2

If the difference between diameter and circumference of a circle is 60 cm. then the area of the circle is (a) 661 square cm (b) 166 square cm (c) 616 square cm (d) 484 square cm

A mother was 30 years old when her son was bon. Now the sum of ages of mother and son is 40 years. What would be the age of the son after 10 years? (a) 5 years (b) 15 years (c) 20 years (d) 10 years

x5 - 1 is divided by 2x + 1, them the absolute value of the remainder is(a) 21 (b) 26(c) 33 / 12(d) 33 / 22

An induced current is produced when a magnet is moved into a coil. The magnitude of induced current does not depend on (A) The speed with which the magnet is moved (B) The resistivity of the wire of the coil (C) The number of turns of the coil (D) The strength of the magnet

A positively charged particle (alpha particle) projected towards west is deflected towards north by magnetic field. The direction of magnetic field Is 1. Downwards 2. Towards South 3. Towards East 4. Upwards

In a conducting wire 15 coulomb charge flows in 5 second. The current flowing in conductor is (A) 3 Ampere (B) 5 Ampere (C) 15 Ampere (D) 75 Ampere

“All India Trade Union Congress” (AITUC) was formed in (a) 1915 AD (b) 1920 AD (c) 1922 AD (d) 1928 AD

There is an object in front of convex mirror at a distance of 5 cm. If its focal length is 10 cm, then its magnification is (A) 0.44 cm (B) 0.66 cm (C) 0.88 cm (D) none

The radius of curvature of a spherical mirror is 20 cm. what is its focal length? (A) 10 cm (B) 15 cm (C) 25 cm (D) none

Four positive integers a, b, c and d have a product of 8! And satisfy ab + a + b = 524 bc + b + c = 146 cd + c + d = 104 then find the value of a – d. (8! = 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8) (1) 4 (2) 6 (3) 8 (4) 10

If the roots of the equation x2- 2bx + 8 = 0 are real, then ‘b’ must be 1) > 2√2 2) < 2√2 3) > 0 4) < 0