Quant Test for LIC AAO Prelims Exam Set – 11

Directions(1-5): What approximate value will come in place of question mark ‘?’ in the following questions.

  1. 1025.08 + 1623.13 – 1784.91 + 2564.31 – 2897.98 = ?
    529
    500
    487
    424
    490
    Option A
    1025.08 + 1623.13 – 1784.91 + 2564.31 – 2897.98
    = ?
    =>1025 + 1623 – 1785 + 2564 – 2898 = ?
    =>? = 5212 – 4683
    =>? = 529

     

  2. ? = (40.16% of 24.95% of 1479.58) + 254.33
    330
    339
    450
    402
    468
    Option D
    ? = (40.16% of 24.95% of 1479.58) + 254.33
    =>? = (40% of 25% of 1480) + 254
    =>? = 402

     

  3. 54.97% of 620.08 + 16.13*11.11 – 829.91/5 = ?
    384
    366
    351
    390
    377
    Option C
    54.97% of 620.08 + 16.13*11.11 – 829.91/5 = ?
    =>55% of 620 + 16*11 – 830/5 = ?
    =>341 + 176-166 = ?
    =>? = 351

     

  4. 16% of 1750 – 20% of 1150 = 25% of ?
    190
    200
    150
    148
    210
    Option B
    16% of 1750 – 20% of 1150 = 25% of ?
    =>0.25 * ? = 0.16*1750 – 020*1150
    =>0.25*? = 280 – 320
    =>0.25*? = 50
    =>? = 200

     

  5. 244 – 156 + ?^2 – 13^2 = 15*14 + 25*22
    15
    29
    20
    18
    24
    Option B
    244 – 156 + ?^2 – 13^2 = 15*14 + 25*22
    =>88 + ?^2 – 169 = 210 + 550
    =>?^2 – 81 = 760
    =>?^2 = 841
    =>? = 29

     

  6. The ratio of the first and second class train fares between two stations is 3:1 and that of the numbers of passengers travelling between the two stations by first and second classes is 1:50. If on a particular day Rs.1325 are collected from passengers between the two stations then the amount collected from second class passenger is ?
    Rs.1550
    Rs.1412
    Rs.1350
    Rs.1221
    Rs.1250
    Option E
    Fare = 3:1
    Passenger = 3*1 : 1* 50
    Add = 3 + 50 = 53
    Now, 53x = 1325
    =>x = 25
    Amount collected from second class = 50x
    25*50 = Rs.1250

     

  7. In an examination, the average marks obtained by the students was found to be 60. After omission of computational errors, the average marks of 100 candidates had to be changed from 60 to 30 and the average with respect to all the examinees came down to 45 marks. Find the number of candidates who took the exam.
    156
    130
    180
    200
    174
    Option D
    Let the number of candidates be x.
    60x – 3000 = 45x
    =>x = 200

     

  8. The compound interest on a certain sum of money at a certain rate per annum for 2 years is Rs.2050 and the simple interest on the same amount of money at the same rate for 3 years is Rs.3000. What is the sum of money?
    Rs.12,000
    Rs.20,000
    Rs.18,000
    Rs.15,000
    Rs.22,000
    Option B
    SI of 3 years = Rs.3000
    SI for 2 years = Rs.3000/3*2 = Rs.2000
    SI for 2 years = Rs.2000
    CI for 2 years = Rs.2050
    Difference = (2050 – 2000) = 50
    Required rate% = 50/1000*100 = 5%
    5% of sum = 1000
    Sum = 1000/5*100 = Rs.20,000

     

  9. A man bought an article and sold it at a loss of 5%. If he had bought it for 10% less and sold it for Rs.33 more, he would have had a profit of 30%. Find the cost price of article.
    130
    120
    140
    150
    160
    Option D
    Let the CP be 100x.
    SP = 95x
    New CP = 90x
    New SP = 90x*130/100 = 117x
    Difference between new SP and actual SP.
    117x- 95x = 33
    => x = 3/2
    CP of the article = 100x = 100*3/2 = 150

     

  10. A and B start simultaneously from a place P towards Q , 60 km apart. A’s speed is 4 km/hr. less than that of B. After reaching Q, B turns back and meet A at a place 12 km away from Q. Find A’s speed.
    4 km/hr.
    8 km/hr.
    7 km/hr.
    6 km/hr.
    9 km/hr.
    Option B
    Let the speed of A be x km/hr.
    Then, B’s speed = (x+4) km/hr.
    Total distance covered by A = 60+12 = 72 km
    Total distance covered by B = 60-12 = 48 km
    Now, 72/(x+4) = 48/x
    =>x = 8 km/hr.

     


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