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4401.

x1 , x2 , x3 , .... are in A.P If x1 + x7 + x10 = -6 and x3 + x8 + x22 = ?(1) –21 (2) –15 (3) –18 (4) –31

Answer»

Correct option is (1) –21

a + b + 6d + a + ad = -6

a + 5d = -2

a + 2d + a + 7d + a + 11d = -11

⇒ 3a + (-8 - 4a) = -11

⇒ −a = −3  

⇒ a = 3 

a = −1

a + 2d + a + 7d + a + 21d = 9 -30 = -21

4402.

In an equilateral triangle ABC, the side BC is trisected at D, then 9AD2 is .......(1) 7AB2 (2) 8BC2 (3) 4AC2(4) 3/2 AB2

Answer»

Correct option is (1) 7AB2

Let A(0, 0), B(2a, 0), C(a, √3 a),

Then D \((\frac{4a}{3},\frac{2\sqrt{3}}{3})\)

⇒ 9 AD2 = 28a2 

= 7 AB2

4403.

The line segment joining the points (3,4) and (1,2) is trisected at the points A&B. If the co-ordinates of A&B are (a, -2) & ( 5 / 3 ,b ) respectively. Find the values of a and b(A) a = 0, b = 7 / 3(B) a = 7 / 3 , b = 0(C) a = 7, b = 3(D) a = 3 , b = 7

Answer»

(B) a = 7 / 3 , b = 0

4404.

If the base circumference of a right circular cone and its height are 220 cm and 21 cm respectively, then the volume of the cone is : (A) 24, 630 cm3 (B) 21,750 cm3 (C) 26,950 cm3 (D) 25,400 cm3

Answer»

(C) 26,950 cm3 

2r = 220  ∴ r =35

vol = \(\frac{1}{3}r^2h=26950\)

4405.

If x = cy + bz, y = cx + az, z = bx + ay, the value of a2 + b2 + c2 – 1 is (a) abc (b) -abc (c) 2abc (d) -2abc

Answer»

Correct option is (d) -2abc

4406.

The least value of 2x2 - 4x + 3y2 - 18y + 31 is (a) 3 (b) – 1 (c) 0 (d) 2

Answer»

Correct option is (d) 2

4407.

The mean of 12 ,22 ,32 ,42 ,52 ,62 ,72  is (A) 10 (B) 20 (C) 30 (D) 40

Answer»

Correct option is (B) 20

4408.

English alphabets are given digital numbers. Using them find the correct code (number) for other English words from options given below. 1. If CUP = 40 the KITE = _____ (A) 10 (B) 20 (C) 30 (D) 45 2. If ZEBRA = 2652181 then LION= _____ (A) 1291514 (B) 50 (C) 9112514 (D) 2591541 3. If BAG = 71 the VICE = _____ (A) 69 (B) 70 (C) 75 (D) 90

Answer»

1. (D) 45

2. (A) 1291514

3. (A) 69

4409.

What is the missing number in the given series? 2, 4, 7, 12, 19, ?, 43 (A) 28 (B) 30 (C) 32 (D) 29

Answer»

Correct option is (B) 30

4410.

The distance of distinct vision is ____________ cm. (A) 20 (B) 25 (C) 30 (D) 35

Answer»

(B) 25

Property of human eye

4411.

If sinθ = cosθ , then θ is (A) 30° (B) 45° (C) 60° (D) 90°

Answer»

Correct option is (B) 45° 

4412.

Which of the following forest communities is wrongly matched. (A) Santhals ------- Jharkhand (B) Oraon -------- Nagaland (C) Gonds --------- Chhattisgarh (D) Khasas ------- Himachal

Answer»

(B) Oraon -------- Nagaland

4413.

Which one of the following statements is' NOT CORRECT? (1) Kandla is a tidal port. (2) Kolkata is an inland riverine port. (3) Mangalore is the deepest land locked port. (4) Cochin is a natural harbour.

Answer»

(3) Mangalore is the deepest land locked port.

4414.

Which one of the following is wrongly matched? (1) Endangered species — Indian Rhino ' (2) Endemic species — Mithun (3) Extinct species — Pink head duck (4) Vulnerable species — Asiatic Cheetah

Answer»

(4) Vulnerable species — Asiatic Cheetah

4415.

Identity the wrongly matched pairs(A) Monocyte  -   Actively phagocytic (B) Thrombolytic  -  Produces antibodies (C) Lymphocyte  -  initiates blood clotting (D) Eosin Phil  -  Associated with allergy (A) (A) and (B) (B) (B) and (C) (C) (A) and (D) (D) (C) and (D)

Answer»

Correct option is (B) (B) and (C)

4416.

Find the wrongly matched. 1) Sun Yat-sen - Nationalism, Democracy and Socialism 2) Chian Kaishek - Militarised the nation 3) Mao Zedong – Long March 4) Ken Saro Wiwa – Peasant Revolution.

Answer»

4) Ken Saro Wiwa – Peasant Revolution.

4417.

If tan 5θ , tan 4θ =1, then θ is____.(A) 7 (B) 3 (C) 10 (D) 9

Answer»

Correct option is  (C) 10

4418.

The median class o the frequency distribution given below is____Class0-1010-2020-3030-4040-50Frequency715131710(A) 40-50 (B) 30-40 (C) 20-30 (D) 10-20

Answer»

Correct option is (C) 20-30

4419.

In which year Neta ji Subash Chander Bose passed the ICS examination.(1) 1919 A.D. (2) 1920 A.D.(3) 1921 A.D. (4) 1922 A.D.

Answer»

(2) 1920 A.D. 

4420.

An electric Kettle consumes 1 KW of electric power when operated at 220 V. A fuse wire of what rating must be used for it. (1) IA (2) 2A (3) 5A  (4) 4A

Answer»

Correct Option is (3) 5A 

4421.

In leukemia (1) there is lack of oxygen in body (2) white spot made on skin (3) proliferation of white blood corpuscles takes place (4) red blood corpuscles increases

Answer»

(3) proliferation of white blood corpuscles takes place

4422.

If on 27 January 1947, it was Wednesday, what day was on 3 September 1947? (1) Wednesday (2) Thursday (3) Friday (4) Sunday

Answer»

Correct option is (3) Friday

4423.

The colour used for drawing of contour lines in a topographical map is (a) Black (b) Brown (c) Red (d) Blue

Answer»

Correct answer is (b) Brown

4424.

Regions of ……….. soils are intensively cultivated and densely populated. (1) black (2) red and yellow (3) laterite (4) alluvial

Answer»

Correct option is (4) alluvial

4425.

Feather: Soft:: Glass:? (A) Black (B) White (C) Light (D) Hard

Answer»

Correct option is (D) Hard

4426.

Who discovered the nucleus in the cell? (A) Robert Brown (B) Robert Hooke (C) Purkinje (D) Leeuwenhoek

Answer»

(A) Robert Brown

4427.

Introducing a person to her husband, a woman said “his brother‟s father is the only son of my grandfather”. How is the woman related to this person ? (A) Mother (B) Sister (C) Daughter (D) Aunt

Answer»

Correct option is (B) Sister

4428.

In a certain language CHAMPION is coded as HCMAIPNO, how is POSITIVE coded in that language ? (A) OPISITEV (B) POISITEV (C) OPSIITEV (D) OPISTIVE

Answer»

Correct option is (A) OPISITEV

4429.

Which one of the following statement is not true? 1. Mica can be clear, black, green, red, yellow or brown 2. Limestone is found associated with composed of calcium carbonates or calcium and magnesium carbonates. 3. Aluminium has good conductivity and great malleability 4. Generally minerals are not found in ‘ore’

Answer»

4. Generally minerals are not found in ‘ore’

4430.

If air is called 'blue', 'blue' is called 'sky', 'sky' is called 'yellow', 'yellow' is called 'water' and 'water' is called 'pink', then what is the colour of 'clear sky' ? (A) Blue (B) Yellow (C) Pink (D) Sky

Answer»

Correct option is (D) Sky 

4431.

If 'Black' means Pink , 'Pink' means 'Blue' 'Blue' means 'White', 'White' means 'Yellow', then what is the colour of clear sky? (A) Brown (B) Pink (C) Red (D) Blue

Answer»

Correct option is (B) Pink

4432.

In question one of the four alternatives given under the each question satisfies the same relation as is found between two patterns to the left of the sign : : given in the question. Find the correct alternative. 1. Virat Kohli :Cricket : : Marykom : ? (A) Boxing (B) Badminton (C) Cricket (D) Tennis 2. 81 : 3 : : 16 :? (A) 2 (B) 4 (C) 9 (D) 12 3. Aeroplane : Hanger : : Car : ? (A) Port (B) Garage (C) Depot (D) Harbour 4. Bees : Swarm : : Cattle : ? (A) Mob (B) Flock (C) Herd (D) Shoal 5. Rupee : India : : Yen : ? (A) Turkey (B) Bangladesh (C) Japan (D) Pakistan 6. Air : Atmosphere : : Water : ? (A) Hydrosphere (B) Ecosphere (C) Biosphere (D) Stratosphere 7. Mumbai : Maharashtra : : Raipur : ? (A) Gujarat (B) Kerala (C) Chhattisgarh (D) Jharkhand 8. Ship : Sea : : Camel : ? (A) Forest (B) Mountain (C) Land (D) Desert 9. Thermometer : Temperature : : Barometer : ? (A) Pressure (B) Humidity (C) Electric current (D) Earthquake Intensity 10. Dog : Rabbies : : Mosquito:? (A) Sting (B) Malaria (C) Death (D) Plague 11. Tuberculosis : Lungs : : Cataract : ? (A) Ear (B) Throat (C) Eyes (D) Skin 12. AB : ZY : : CD : ? (A) XW (B) WV (C) XY (D) WX 13. Cruel : Kind : : Lazy : ? (A) Alert (B) Sharp (C) Interest (D) Shrewd

Answer»

1. (A) Boxing

2. (A) 2

3. (B) Garage

4. (C) Herd

5. (C) Japan

6. (A) Hydrosphere

7. (C) Chhattisgarh

8. (D) Desert

9. (A) Pressure

10. (B) Malaria

11. (C) Eyes

12. (A) XW

13. (A) Alert

1. Boxing 

2. 2

3. Garage

4. Herd

5. Japan

6. Hydrosphere 

7. Chattisgarh 

8. Desert 

9. pressure 

10. Malaria 

11. eyes

12. XW

13. Alert 

4433.

If 324 + 289 = 35 441 + 484 = 43 625 + 400 = 45 Then 256 + 729 = ?  (1) 35 (2) 34 (3) 33 (4) 43

Answer»

Correct option is (4) 43

The pattern is a + b = √a + √b

∴ Answer = 16 + 27 = 43

4434.

In a family, there is one head of the family, his wife, three sons and their wives. Every son has two sons and one daughter. How many male members are there in the family? (A) 4 (B) 10 (C) 8 (D) 12

Answer»

Correct option is (B) 10

4435.

A particle is moving towards east enters in a magnetic field directed towards north and deflected in vertically downward direction. The charged particle is 1. an electron 2. a proton 3. an alpha particle 4. a neutron

Answer»

Correct option is 1. an electron

4436.

Which one of the following is not an acidic salt: (1) NaHSO4 (2) NaH2 PO4 (3) Na3PO4 (4) Na2HP2

Answer»

Correct option is (3) Na3PO4 

4437.

The refractive index of glass is maximum for: (1) red colour (2) yellow colour (3) violet colour (4) green colour

Answer»

(3) violet colour

4438.

The human eye can focus objects at different distances by adjusting the focal length of the eye-lens. This is due to: (1) presbyopia (2) near-sightedness (3) accommodation (4) far-sightedness

Answer»

(3) accommodation

4439.

Which of the following is known as ‘Currency of Energy’ (A) DNA (B) RNA (C) ATP (D) NAD

Answer»

Correct option is (C) ATP

4440.

The Pancreas secretes Pancreatic Juice which contains ___ enzyme for digesting proteins. (A) Lipase (B) Amylase (C) Zymase (D) Trypsin

Answer»

Correct option is (D) Trypsin

4441.

Find mean of x + 1, x + 3, x + 4, x + 8 is(A) (x + 1)(B) (x + 3)(C) (x + 4)(D) (x + 8)

Answer»

Correct option is (C) (x + 4)

4442.

If each exterior angle of a regular polygon is 18° find the number of sides of the polygon. (A) 10 (B) 15 (C) 20 (D) 8

Answer»

Correct option is (C) 20

4443.

The edges of a plane surface are (A) Lines (B) Points (C) Angles (D) Planes

Answer»

Correct option is (A) Lines

4444.

If x = \(\cfrac{1}{3-2√2}\) and y = \(\cfrac{1}{3+2√2}\) then find the value of x + y(A) 3 (B) 0 (C) 6 (D) 1

Answer»

Correct option is (C) 6

4445.

Mean of 35 observation is 75. The mean of first 18 observation is 70 and the mean of last 18 observation is 80 find the 18th observation. (A) 80 (B) 70 (C) 68 (D) 75

Answer»

Correct option is (D) 75

4446.

If tanθ + sinθ = m and tanθ - sinθ = n then find the value of m2 - n2 (A) 4√m.n(B) 4m.n(C) 2√m.n(D) √m.n

Answer»

Correct option is (A) 4√m.n

4447.

Three squares have the dimension indicated in the diameter. What is the area of shaded Quadrilateral ?1) 4.5 2) 16 /7 3) 21 /4 4) 3.6

Answer»

Correct option is 3) 21/4

4448.

Two vertices of a triangle are (-1, 4) and (5, 2)  if the centroid (0, -3) , find the third vertex(A) (1, 4) (B) (4, 15) (C) (-1 , -4)(D) (-4 , -15)

Answer»

Correct option is (D) (- 4 , -15)

4449.

Match term of Column-I with Column-II.Column - IColumn – II(a) Land(i) Engineer(b) Labour(ii) Mines(c) Capital(iii) Machines(d) Money(iv) Purchasing power1. (a)-(i), (b)-(ii), (c)-(iii), (d)-(iv) 2. (a)-(ii), (b)-(i), (c)-(iii), (d)-(iv) 3. (a)-(iv), (b)-(ii), (c)-(i), (d)-(iii) 4. (a)-(iii), (b)-(iv), (c)-(i), (d)-(ii)

Answer»

2. (a)-(ii), (b)-(i), (c)-(iii), (d)-(iv)

4450.

Why despite less calories requirement urban areas have a higher poverty line? 1. because of higher prices of many essential commodities in urban areas 2. urban people eat more in hotels 3. causes of poverty are different in urban areas 4. urban people incur more medical expenses

Answer»

1. because of higher prices of many essential commodities in urban areas