Sample Aptitude Questions of Aspiring Minds

  1. A is thrice as efficient as B and takes 10 days less to do a piece of work than B takes to do the same work. In how many days, B alone can finish the whole work?
    1. 15 days
    2. 10 days
    3. 9 days
    4. 8 days
    5. 7 days
    Answer: Option A
    Efficiency A:B = 3:1
    Therefore, no. of days A:B = 1:3
    Given, 3x – x = 10
    Solving, A = 5 days and B= 15 days.

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  1. The compound interest on a certain sum for 2 years at 10% per annum is Rs. 525. The simple interest on the same sum for double the time at half the rate percent per annum is ________
    1. Rs. 400
    2. Rs. 500
    3. Rs. 600
    4. Rs. 800
    5. Rs 550
    Answer: Option B
    Let 'P' be the principle
    P(1.1)2 – P = 525
    P = 2500
    S.I = (2500*4*5)/100 = 500
  2. The cost price of item B is Rs. 150/- more than the cost price of item A, Item A was sold at a profit of 10% and Item B was sold at a loss of 20%. If the respective ratio of selling price of items A and B is 11:12, what is the cost price of item B?
    1. Rs. 450/-
    2. Rs. 420/-
    3. Rs. 400/-
    4. Rs. 350/-
    5. Rs. 480/-
    Answer: Option A
    Let us assume cost price of A= X
    So that Cost price of B= X+150.
    SP of A= X*1.1
    SP of B=(X+150)*0.8
    Given that
    SPA: SPB
    11:12
    So that 1.1X/(X+150)*0.8= 11/12
    X=300
    CP of B= 300+150=450
    Answer is 450.
  3. A vessel contains a mixture of milk and water in the respective ratio of 10: 3. Twenty-six litres of this mixture was taken out and replaced with 8 litres of water. If the resultant respective ratio of milk and water in the mixture was 5 : 2, what was the initial quantity of mixture in the vessel? (in litres)
    1. 143
    2. 182
    3. 169
    4. 156
    5. 130
    Answer: Option E
    26 L mixture is taken out.
    Quantity of Milk is taken out= 26*(10/13)=20
    Quantity of Water is taken out=26*(3/13)=6
    As we know that,
    (10X-20)/(3X-6+8)=5/2
    X=10,
    Initial quantity of mixture in the vessel is= 13*X=13*10=130L.
  4. There are 6 consecutive odd numbers. The difference between the square of the average of the first three numbers and the square of the average of the last three numbers is 288. What is the last odd number?
    1. 31
    2. 27
    3. 29
    4. 25
    5. 33
    Answer: Option C
    Let the 6 consecutive odd no.'s are:
    X, X+2, X+4,X+6, X+8, X+10
    Avg. of 1st three no’s is X+2.
    Avg. of Last three no’s is X+8.
    Given that (X+8)2-(X+2)2=288
    X=19
    Last odd no. is X+10= 29.
    Answer is 29.
  1. In a bag there are 6 red balls and 9 green balls. Two balls are drawn at random, what is the probability that at least one of the balls drawn is red?
    1. 29/35
    2. 7/15
    3. 23/35
    4. 2/5
    5. 19/35
    Answer: Option C
    Probability of at least one of the balls drawn is red= 1- (9/15)*(8/14) =23/35.
    Answer is 23/35.
DIRECTIONS for question 7 to 9: Study the following information and answer the question.
What approximate value will come in place of the question mark (?) in the given question? (You are not expected to calculate exact value)
  1. ?% of 750.11 × 34.90 +6.995 = 3000
    1. 15
    2. 16
    3. 11
    4. 6
    5. 19
    Answer: Option C
    X% of 750 *34+7=3000
    11.40. (approx)
    Answer is 11.40
  2. 815.002 +29.98 – 53.998 + 3.012= ?
    1. 800
    2. 880
    3. 840
    4. 900
    5. 750
    Answer: Option A
    815+30-54+32=?
    800. (approx)
    Answer is 800.
  3. 40.1% of 360.2 + 58.98% of ? = 150
    1. 10
    2. 20
    3. 30
    4. 40
    5. 50
    Answer: Option A
    40*360+59%of X=150
    144+59%of X=150
    X=10(approx)
  4. A is thrice as efficient as B. A started working and after 4 days he was replaced by B. B then worked for 15 days and left. If A and B together finished 75% of the total work, in how many days B alone can finish the whole work?
    1. 27
    2. 45
    3. 24
    4. 36
    5. 42
    Answer: Option D
    A = 3B, Given:
    4A + 15B = ¾ W => 27B = ¾ W
    => B = 36 days.

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