Daily Updates Mock Test 33

50 Questions

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Daily Updates Mock Test 33


Questions and Answers
  • 1. 
    Two goats are tethered to diagonally opposite vertices of a field formed by joining the mid-points of the adjacent sides of another square field of side 20√2m. What is the total grazing area of the two goats if the length of the rope by which the goats are tethered is 10√2  m? 
    • A. 

      100π m²

    • B. 

      50(√2-1)π m²

    • C. 

      100π(3-2√2) m²

    • D. 

      200π(2-√2) m²

  • 2. 
     Two equal maximum sized circular plates are cut-off from a circular paper-sheet of circumference 352 cm. The circumference of each circular plate is,
    • A. 

      176 cm

    • B. 

      180 cm

    • C. 

      165 cm

    • D. 

      150 cm

  • 3. 
    Find the ratio of the diameter of the circles inscribed in an equilateral triangle, the diameter circumscribing that equilateral triangle and the height of the same equilateral triangle?
    • A. 

      1 : 2 : 1

    • B. 

      2 : 4 : 3

    • C. 

      1 : 3 : 4

    • D. 

      3 : 2 : 1

  • 4. 
    Find the area of a right-angled triangle if the radius of its circumcircle is 5 cm and the altitude drawn to the hypotenuse is 4 cm. 
    • A. 

      20 cm²

    • B. 

      22 cm²

    • C. 

      20√2 cm²

    • D. 

      22√2 cm²

  • 5. 
    Find the area of a circle whose circumference is 44 cm. 
    • A. 

      154 cm²

    • B. 

      150 cm²

    • C. 

      145 cm²

    • D. 

      140 cm²

  • 6. 
    The inner circumference of a circular field is 704 m. A road 7 m wide is constructed on the outside. Find the area of the path. 
    • A. 

      5082 m²

    • B. 

      5060 m²

    • C. 

      5060.5 m²

    • D. 

      5000 m²

  • 7. 
    A square park has each side of 100 m. At each corner of the park, there is a flower bed in the form of a quadrant of radius 14 m as shown in the figure. Find the area of the remaining part of the park. 
    • A. 

      9184 m²

    • B. 

      9284 m²

    • C. 

      9834 m²

    • D. 

      9384 m²

  • 8. 
    An equilateral triangle of side 6 cm has its corners cut off to form a regular hexagon. Area (in cm2) of this regular hexagon will be 
    • A. 

      3√3

    • B. 

      3√6

    • C. 

      6√3

    • D. 

      (5√3)/2

  • 9. 
    A wire, when bent in the form of a square, encloses a region having area 121 cm2. If the same wire is bent into the form of a circle, then the area of the circle is (take π=22/7)?
    • A. 

      144 cm²

    • B. 

      180 cm²

    • C. 

      154 cm²

    • D. 

      176 cm²

  • 10. 
    ABC is an equilateral triangle of side 2 cm. With A, B, C as centers and radius 1 cm three arcs are drawn. The area of the region within the triangle bounded by the three arcs is?
    • A. 

      3(√3-π/2)cm²

    • B. 

      (√3-3π/2)cm²

    • C. 

      (π/2)cm²

    • D. 

      (π/2-√3)cm²

  • 11. 
    If x runs are scored by A, y runs by B and z runs by C, then x : y = y : z = 3 : 2. If total number of runs scored by A, B and C is 342, the runs scored by each would be respectively
    • A. 

      144, 96, 64

    • B. 

      162, 108, 72

    • C. 

      180, 120, 80

    • D. 

      189, 126, 84

  • 12. 
    Rs 900 is divided among A, B, C; the division is such that  1/2  of A’s money =1/3rd of B’s money =1/4th of C’s money. Find the amount (in Rs) received by A, B, C.
    • A. 

      300, 400, 200

    • B. 

      350, 450, 100

    • C. 

      200, 300, 400

    • D. 

      400, 150, 350

  • 13. 
     If Rs 126.50 is divided among A, B and C in the ratio of 2 : 5 : 4, the share of B exceeds that of A by
    • A. 

      Rs 36.50

    • B. 

      Rs 35.50

    • C. 

      Rs 34.50

    • D. 

      Rs 33.50

  • 14. 
    The average of first three numbers is double of the fourth number. If the average of all the four numbers is 12, find the 4th number.
    • A. 

      16

    • B. 

      48/7

    • C. 

      20

    • D. 

      18/7

  • 15. 
    If the average of 6 consecutive even numbers is 25, the difference between the largest and the smallest number is
    • A. 

      8

    • B. 

      10

    • C. 

      12

    • D. 

      14

  • 16. 
    A train goes from Ballygunge to Sealdah at an average speed of 20 km/hour and comes back at an average speed of 30 km/hour. The average speed of the train for the whole journey is
    • A. 

      27 km/hr

    • B. 

      26 km/hr

    • C. 

      25 km/hr

    • D. 

      24 km/hr

  • 17. 
    The arithmetic mean of 100 observations is 24.6 is added to each of the observations and, then each of them is multiplied by 2.5. Find the new arithmetic mean.
    • A. 

      30

    • B. 

      75

    • C. 

      35

    • D. 

      60

  • 18. 
    Sachin Tendulkar has a certain average for 11 innings. In the 12th innings he scores 120 runs and thereby increases his average by 5 runs. His new average is
    • A. 

      60

    • B. 

      62

    • C. 

      65

    • D. 

      66

  • 19. 
    The average of 11 results is 50. If the average of the first six results is 49 and that of the last six is 52, the sixth result is
    • A. 

      48

    • B. 

      50

    • C. 

      52

    • D. 

      56

  • 20. 
    By selling 25 metres of cloth a trader gains the selling price of 5 metres of cloth. The gain of the trader in % is
    • A. 

      25

    • B. 

      20

    • C. 

      28

    • D. 

      29

  • 21. 
    A sum of money placed at compound interest double itself in 4 years. In how many years will it amount to four times itself?
    • A. 

      12 years

    • B. 

      13 years

    • C. 

      8 years

    • D. 

      16 years

  • 22. 
    The compound interest on Rs. 30,000 at 7% per annum for a certain time is Rs. 4,347. The time is:
    • A. 

      3 years

    • B. 

      4 years

    • C. 

      2 years

    • D. 

      2.5 years

  • 23. 
    A sum of Rs. 8000 will amount to Rs. 8820 in 2 years. The rate of compound interest  is:
    • A. 

      6%

    • B. 

      7%

    • C. 

      3%

    • D. 

      5%

  • 24. 
    A principal of Rs. 10,000, after 2 years compounded annually, the rate of interest being 10% per annum during the first year and 12% per annum during the second year (in rupees) will amounts to:
    • A. 

      Rs. 12,000

    • B. 

      Rs. 12,320

    • C. 

      Rs. 12,500

    • D. 

      Rs. 21,000

  • 25. 
    Two equal vessels are filled with the mixture of water and milk in the ratio of 3 : 4 and 5 : 3 respectively. If the mixtures are poured into a third vessel, the ratio of water and milk in the third vessel will be
    • A. 

      15 : 12

    • B. 

      53 : 59

    • C. 

      20 : 9

    • D. 

      59 : 53

  • 26. 
    If Rs. 64 amount to 83.20 in 2 years what will Rs. 86 amount to in 4 years at the same rate of simple interest per annum?
    • A. 

      Rs. 132.50

    • B. 

      Rs. 135.60

    • C. 

      Rs. 137.60

    • D. 

      None of these

  • 27. 
    Manoj deposited Rs. 29400 for 6 years at simple interest. He got Rs. 4200 as interest after 6 years. The annual rate of simple interest was:
    • A. 

      50/21 %

    • B. 

      47/20 %

    • C. 

      71/21 %

    • D. 

      92/21 %

  • 28. 
     If the simple interest for 6 years be equal to 30% of the principal, it will be equal to the principal after
    • A. 

      20 years

    • B. 

      30 years

    • C. 

      10 years

    • D. 

      22 years

  • 29. 
    A person invests money in three different schemes for 6 years, 10 years and 12 years at 10%, 12% and 15% simple interest respectively. At the completion of each scheme, he gets the same interest. The ratio of his investment is
    • A. 

      6 : 3 : 2

    • B. 

      2 : 3 : 4

    • C. 

      3 : 4 : 6

    • D. 

      3 : 4 : 2

  • 30. 
    s. 1,000 is invested at 5% per annum simple interest. If the interest is added to the principal after every 10 years, the amount will become Rs. 2,000 after
    • A. 

      15 years

    • B. 

      18 years

    • C. 

      20 years

    • D. 

      50/3 years

  • 31. 
    Select the related word/letters/number from the given alternatives.  AEIM : BFJN : : CGKO : ?
    • A. 

      DHLP

    • B. 

      ZVRP

    • C. 

      BCDK

    • D. 

      MPQR

  • 32. 
    Select the related word/letters/number from the given alternatives.  24 : 60 : : 210 : ?
    • A. 

      348

    • B. 

      336

    • C. 

      340

    • D. 

      326

  • 33. 
    Select the related word/letters/numbers from the given alternatives:  College : Student : : Hospital : __?__
    • A. 

      Doctor

    • B. 

      Treatment

    • C. 

      Nurse

    • D. 

      Patient

  • 34. 
    Find the odd word/letters/number pair from the given alternatives.
    • A. 

      125

    • B. 

      900

    • C. 

      343

    • D. 

      1000

  • 35. 
    Select the odd word/letters/number/number pair from the given alternatives.
    • A. 

      Adamant

    • B. 

      Stubborn

    • C. 

      Tenacious

    • D. 

      Lenient

  • 36. 
    Select the odd word/letters/number/number pair from the given alternatives. 
    • A. 

      XAD

    • B. 

      PRU

    • C. 

      JLO

    • D. 

      ACF

  • 37. 
    Consider the given statements to be true and decide which of the given conclusions/assumptions can definitely be drawn from the given statement. Statements: All fruits are leaves.  Some fruits are grapes. Conclusion I: Some leaves are grapes.  II: All grapes are fruits.
    • A. 

      Only conclusion I follows

    • B. 

      Only Conclusion II follows

    • C. 

      Both conclusion I and II follows

    • D. 

      Neither Conclusion I nor II follows

  • 38. 
    Identify the diagram that best represents the relationship among classes given below  Tennis fans, Cricket players, Students
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 39. 
    A is taller than B. C is taller than A. D is taller than E but shorter than B. Who is the tallest?
    • A. 

      C

    • B. 

      A

    • C. 

      D

    • D. 

      B

  • 40. 
    Complete the third equation on the basis of a certain system followed in the first two equations. (1)  5*4*2*1 = 1425   (2) 7*8*1*6 = 6817 (3) 9*3*7*5 = ?
    • A. 

      3795

    • B. 

      5397

    • C. 

      5973

    • D. 

      5379

  • 41. 
    .In the following question, select the odd word pair from the given alternatives.
    • A. 

      Dog : Puppy

    • B. 

      Horse : Mare

    • C. 

      Sheep : Lamb

    • D. 

      Cow : Calf

  • 42. 
    In the following question, select the odd word from the given alternatives.
    • A. 

      SZ

    • B. 

      BJ

    • C. 

      PW

    • D. 

      MT

  • 43. 
    In the following question, select the odd word pair from the given alternatives.
    • A. 

      11 – 44

    • B. 

      8 – 34

    • C. 

      6 – 18

    • D. 

      12 – 72

  • 44. 
    In the following question, select the odd word from the given alternatives.
    • A. 

      Mobile phone

    • B. 

      Laptop

    • C. 

      Television

    • D. 

      Cathode Rays

  • 45. 
    In the following question, select the odd word from the given alternatives.
    • A. 

      AG

    • B. 

      RX

    • C. 

      EK

    • D. 

      MT

  • 46. 
    In the following question, select the odd word pair from the given alternatives.
    • A. 

      52 – 164

    • B. 

      60 – 162

    • C. 

      44 – 146

    • D. 

      112 – 214

  • 47. 
    In the following question, select the odd word from the given alternatives.
    • A. 

      Almonds

    • B. 

      Cashewnut

    • C. 

      Walnut

    • D. 

      Potato

  • 48. 
    .In the following question, select the odd word from the given alternatives.
    • A. 

      BDGK

    • B. 

      XZCG

    • C. 

      TVYB

    • D. 

      NPSW

  • 49. 
    In the following question, select the odd number from the given alternatives.
    • A. 

      347

    • B. 

      124

    • C. 

      782

    • D. 

      479

  • 50. 
    In the following question, select the odd word pair from the given alternatives.
    • A. 

      Snakes : Reptiles

    • B. 

      Buffalo : Mammal

    • C. 

      Kiwi : Bird

    • D. 

      Parrot : Mammal