Quant Test for IBPS PO 2018 Prelim Exam Set – 35

Directions(1-5): What will come in place of question mark “?” in the following questions.

  1. 350% of ? ÷50+248=591
    Option C
    350% of ? ÷50+248=591 350 × ?/100 × 1/50 = 343
    =>? = 4900


  2. 25 × 3.25 + 50.4 ÷ 24 = ?
    Option D
    25 × 3.25 + 50.4 ÷ 24 = ?
    =>? = 81.25+2.1 = 83.35


  3. [(15.5 × 28) ÷ 16 – 1230 ÷ 240] = ? × 5
    Option E
    [(15.5 × 28) ÷ 16 – 1230 ÷ 240] = ? × 5
    => 434 ÷ 16 – 5.125 = ? × 5
    => 27.125 – 5.125 = ? × 5
    => 22 = ? × 5
    =>? = 22/5 = 4.4


  4. (? )^2 + (65)^2 = (160)^2 − (90)^2 – 7197
    Option B
    (? )^2 + (65)^2 = (160)^2 − (90)^2 − 7191
    => (? )^ 2 = (160)^2 − (90)^2 − 7191 − (65)^2
    => (? )^2 = 25600 − (8100 + 7191 + 4225)
    => (? )^2 = 25600 − 19516 => (? )^2 = 6084
    => (? ) = √6084 = 78


  5. 423.62 – 269.21 ÷ (11.9% of 78) = ?
    Option A
    423.62 – 269.21 ÷ (11.9% of 78) = ?
    => 425 – 270 ÷ (12% of 80) = ?
    =>425 − 270 ÷ ( 12 × 80 100 ) = ?
    =>? = 425 – 270 ÷ 10
    => ? = 425 – 27
    => ? = 398 == 395


  6. A man bought a piece of land for Rs. 72000. He sold 1/3 of the part at 20% loss and 2/3 of the remaining at 25% profit. At what rate should he sell the remaining portion to earn a 20% profit on the whole land ?
    Rs. 32,200
    Rs. 30,000
    Rs. 25,000
    Rs. 22,200
    Rs. 27,200
    Option E
    Let he sells the remaining part for Rs. x.
    1/3 × 80/100 × 72000 + 2/3 × 2/3 × 125/100 × 72000 + 𝑥 = 120/100 × 72000
    => x = 86400 – 59200
    => x = Rs. 27,200


  7. Two vessels A and B contain spirit and water in the ratio 5 : 2 and 7 : 6 respectively. Find the ratio in which these mixtures be mixed to obtain a new mixture in vessel C containing spirit and water in the ratio 8 : 5 ?
    Option E
    By rule of alligation,
    Mean Price
    Mixture from Vessel A : Mixture from Vessel B
    = 1/13:9/91 = 7:9


  8. Tap ‘A’ can fill the tank completely in 6 hrs while tap ‘B’ can empty it by 12 hrs. By mistake, the person forgot to close the tap ‘B’, As a result, both the taps, remained open. After 4 hrs, the person realized the mistake and immediately closed the tap ‘B’. In how much time now onwards, would the tank be full?
    2 hours
    4 hours
    5 hours
    6 hours
    Option B
    In one hour, Tank A and B together can effectively fill (1/6−1/12) = 1/12 of the tank
    => In 4 hours Tank A and B can effectively fill = 1/12×4 = 1/3 of the tank.
    Time taken to fill the remaining (1−1/3) = 2/3 of the tank
    = (2/3)/(1/6) = 4 hours


  9. Abhishek took a loan at simple interest rate of 6% in the year with an increase of 0.5% in each subsequent year. He paid interest of Rs. 6125 after 5 year. How much loan did he take?
    Rs. 11700
    Rs. 20000
    Rs. 12500
    Rs. 17500
    Rs. 11000
    Option D
    Total interest = Rs. 6125
    Rate = 6% and increasing by 0.5% every year
    Let total Loan Amount = P
    P = [6125 × 100]/[ 6 × 1 + 6.5 × 1 + 7 × 1 + 7.5 × 1 + 8 × 1] = 612500/35
    = Rs. 17500


  10. From a group of 8 women and 6 men, a committee consisting of 3 men and 3 women is to be formed. In how many ways can the committee be formed if two of the men refuses to serve together?
    Option C
    Number of ways in which a committee can be formed if two of the men refuses to serve together
    = 4C3 × 8C3 + 2C1 × 4C2 × 8C3
    = 56×16 = 896


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