Quantitative Aptitude: Inequalities for PO Mains Exam — Set 8

New Pattern Inequalities Questions in Quantitative Aptitude for upcoming IBPS PO/RRB, NICL, OICL,RBI, Bank of Baroda and other competitive exams. 

  1. Quantity I: The age of teacher, if the average age of 36 students is 14. When teacher’s age is included the average increases by 1.
    Quantity II: The age of teacher, if the average age of 19 students is 35. When teacher’s age is included the average increases by 0.5.
    A) Quantity I > Quantity II
    B) Quantity I ≥ Quantity II
    C) Quantity II > Quantity I
    D) Quantity II ≥ Quantity I
    E) Quantity I = Quantity II or Relation cannot be established
    View Answer
    Option A
    Solution:

    I A=a +or – nd
    14+ (37*1) =14+37=51yrs.
    II 35 + (20*0.5) =35+ 10=45yrs.
  2. Quantity I: Profit Percentage , if Some articles were bought at 6 articles for Rs. 5 and sold at 5 articles for Rs. 6.
    Quantity II: Profit Percentage, if 100 toys are bought at the rate of Rs. 350 and sold at the rate of Rs. 48 per dozen.
    A) Quantity I > Quantity II
    B) Quantity I ≥ Quantity II
    C) Quantity II > Quantity I
    D) Quantity II ≥ Quantity I
    E) Quantity I = Quantity II or Relation cannot be established
    View Answer
    Option A
    Solution:

    I If the no of article bought is LCM of 6 and 5 is 30
    CP of 30 articles =5/6*30=Rs25
    SP of 30 articles =6/5*30=Rs36
    Profit 36-25=11
    Profit %ge =11/25 *100=44%
    II CP of 1 toy =350/100=3.50
    SP of 1toy = 48/12 =4.
    Profit=4-3.5=0.5.
    Profit %ge (0.5/3.5) *100=14 2/7%
  3. Quantity I: On selling 17 balls at Rs. 720, there is a loss equal to the cost price of 5 balls. The cost price of a ball is:
    Quantity II: A man buys a cycle for Rs. 1400 and sells it at a loss of 15%. The selling price is:
    A) Quantity I > Quantity II
    B) Quantity I ≥ Quantity II
    C) Quantity II > Quantity I
    D) Quantity II ≥ Quantity I
    E) Quantity I = Quantity II or Relation cannot be established
    View Answer
    Option C
    Solution:

    I. C.P. of 12 balls = S.P. of 17 balls = Rs.720.
    CP of 1 ball = 720/12=Rs60.
    II. SP =85% of 1400
    =85/100*1400
    =Rs1190.
  4. Quantity I: A and B together can do a piece of work in 4 days. If A alone can do the same work in 6 days, then B alone can do the same work in?
    Quantity II: A can do a piece of work in 4 hours; B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it?
    A) Quantity I > Quantity II
    B) Quantity I ≥ Quantity II
    C) Quantity II > Quantity I
    D) Quantity II ≥ Quantity I
    E) Quantity I = Quantity II or Relation cannot be established
    View Answer
    Option A
    Solution:

    I. B work= 1/4 – 1/6 = 2/24 ==> 12 days
    II.  A’s 1hr work 1/4 .
    (B+C’s) 1 hr work 1/3.
    (A+C’s) 1hr work 1/2.
    A+B+C 1hr work = 1/4+1/3=7/12.
    B’s work =7/12 – 1/2=1/12
    12hours.
  5. Quantity I: A man on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. The average speed of the tour is:
    Quantity II: A went from P to Q with the speed of 60km/hr. and return back with the speed of 90km/hr. Find the average speed.
    A) Quantity I > Quantity II
    B) Quantity I ≥ Quantity II
    C) Quantity II > Quantity I
    D) Quantity II ≥ Quantity I
    E) Quantity I = Quantity II or Relation cannot be established
    View Answer
    Option C
    Solution:

    I. Total time taken = (160/64 + 160/80) =9/2hrs
    Then avg speed =320/(9/2)
    =320*2/9= 71.11km/hr.
    II. (2*60*90)/150=72km/hr.
  6. Quantity I: The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 km in 4 hours, then the speed of the first train is:
    Quantity II: Find the speed of a train which passes a tree in 12 seconds. The length of the train is 264m.
    A) Quantity I > Quantity II
    B) Quantity I ≥ Quantity II
    C) Quantity II > Quantity I
    D) Quantity II ≥ Quantity I
    E) Quantity I = Quantity II or Relation cannot be established
    View Answer
    Option A
    Solution:

    I. Let the speed of two trains be 7x and 8x.
    400/4=100
    8x=100==>x=12.5.
    Then speed of first train =7*12.5 =87.5km/hr.
    II. Length of the train = 264m.
    Time taken to pass the tree = 12 seconds.
    Speed of the train = 264/12 m/sec = 22 m/sec = 22 * 18/5 km/hr = 79.2 km/hr.
  7. Quantity I: A and B started a business by investing Rs. 20000 and Rs. 35000 respectively. Find the share of B out of an annual profit of Rs. 3520.
    Quantity II: X and Y invested in a business. Their profit ratio is 2:3. If X invested Rs. 4000. Find the amount invested by Y?
    A) Quantity I > Quantity II
    B) Quantity I ≥ Quantity II
    C) Quantity II > Quantity I
    D) Quantity II ≥ Quantity I
    E) Quantity I = Quantity II or Relation cannot be established
    View Answer
    Option C
    Solution:

    I Ratio 20:35=4:7
    11 == 3520
    7 ?==>Rs2240.
    II 4000/y = 2/3
    y = 6000.
  8. Quantity I: The age of P is twelve times that of her daughter Q. If the age of Q is 3 years, what is the age of P?
    Quantity II: The ratio between the present ages of A and B is 2:3. 4 years ago the ratio between their ages was 5:8. What will be A’s age after 7 years?
    A) Quantity I > Quantity II
    B) Quantity I ≥ Quantity II
    C) Quantity II > Quantity I
    D) Quantity II ≥ Quantity I
    E) Quantity I = Quantity II or Relation cannot be established
    View Answer
    Option A
    Solution:

    I
    Ratio P:Q 12:1
    1…….== 3
    12 ? == 12*3 =36years.
    II
    (5x+4)/(8x+4) =2/3
    15x+12 = 16x+8
    x=4.
    A’s age 4 yrs ago 5*4=20
    Then A’s age after 7yrs is 20+4+7=31yrs.
  9. Quantity I: The difference between SI and CI compounded annually on a certain sum of money for 2 years at 8% per annum is Rs. 12.80. Find the principal.
    Quantity II: A sum fetched a total simple interest of Rs. 800 at the rate of 8 %per annum in 5 years. What is the sum?
    A) Quantity I > Quantity II
    B) Quantity I ≥ Quantity II
    C) Quantity II > Quantity I
    D) Quantity II ≥ Quantity I
    E) Quantity I = Quantity II or Relation cannot be established
    View Answer
    Option E
    Solution:

    I SI-CI=Pr2/100.
    P*82/100=12.8
    64P/(100*100)=12.8
    P=Rs2000.
    II SI=Pnr/100
    800=P*8*5/100
    P=800*100/40
    =Rs2000.
  10. There are 5 Brown balls, 4 Blue balls & 3 black balls in a bag .Four balls are chosen at random
    Quantity I: The probability of their being 2 Brown and 2 Blue ball Quantity
    Quantity II: The probability of their being 2 Brown, 1 Blue & 1 blacks
    A) Quantity I > Quantity II
    B) Quantity I ≥ Quantity II
    C) Quantity II > Quantity I
    D) Quantity II ≥ Quantity I
    E) Quantity I = Quantity II or Relation cannot be established
    View Answer
    Option C
    Solution:

    I. (5c2 * 4c2)/12c4 = 60/495=4/33
    II. (5c2 * 4c1 *3c1)/12c4 =120/95=8/33

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106 Thoughts to “Quantitative Aptitude: Inequalities for PO Mains Exam — Set 8”

  1. nithish menon

    in question 4, quantity 1 is in days, and quantity 2 is in hours. so obviously quantity1>quantity2

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  95. These days of austerity along with relative panic about running into debt, many people balk up against the idea of utilizing a credit card in order to make purchase of merchandise as well as pay for any occasion, preferring, instead to rely on the tried in addition to trusted way of making settlement – hard cash. However, if you possess the cash there to make the purchase 100 , then, paradoxically, this is the best time for you to use the credit card for several factors.

  96. Thanks for your publication. I also think that laptop computers have gotten more and more popular today, and now tend to be the only form of computer utilized in a household. This is because at the same time they are becoming more and more inexpensive, their processing power keeps growing to the point where there’re as potent as personal computers out of just a few years ago.

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  98. Thank you for this article. I would also like to talk about the fact that it can end up being hard if you find yourself in school and merely starting out to initiate a long credit rating. There are many scholars who are just trying to live and have a protracted or favourable credit history can be a difficult point to have.

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  101. I do agree with all the ideas you have presented in your post. They’re really convincing and will definitely work. Still, the posts are very short for novices. Could you please extend them a little from next time? Thanks for the post.

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  103. Hi there! Do you use Twitter? I’d like to follow you if that would be ok. I’m undoubtedly enjoying your blog and look forward to new posts.

  104. Thanks for expressing your ideas right here. The other thing is that any time a problem comes up with a laptop or computer motherboard, individuals should not have some risk regarding repairing that themselves because if it is not done right it can lead to permanent damage to an entire laptop. It is almost always safe just to approach any dealer of any laptop with the repair of motherboard. They have got technicians who’ve an know-how in dealing with laptop motherboard difficulties and can have the right analysis and perform repairs.

  105. Can I simply say what a aid to search out someone who really is aware of what theyre speaking about on the internet. You definitely know methods to carry a problem to gentle and make it important. Extra folks must read this and understand this side of the story. I cant consider youre no more popular since you positively have the gift.

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