Mixed Quantitative Aptitude Questions Set 24

Quantitative Aptitude Questions NIACL Assistant, BoB PGCBF, OBC SO, Dena Bank PO, SBI PO, NICL, BOI and other competitive exams

1. If a man sell milk at cost price and he add some water in it and gain 20%. Then find the percentage of water in total solution?
   A) 20%
   B) 16 (2/3)%
   C) 25%
   D) 14 (2/3)%
   
   View Answer

   Option B
   Solution:
   In this case when we make profit by adding water. Then we keep profit percent into 100 of ratio to find ratio.
   Now we get( water : milk)
   .    water : milk
   .         20 : 100
   .           1 : 5
   Now to find % :- 1/(1+5)*100 = 16(2/3)% .
2. After giving two successive discount of 10% and 9.09%. A man still gains 12.5%. Find what is the mark-up price if the selling price of that article is Rs 1800? Also find the cost price?
   A) Rs2200, Rs1600
   B) Rs2200, Rs1800
   C) Rs2000, Rs1400
   D) Rs2600,Rs2000
   
   View Answer

   Option A
   Solution:
   Two discounts – 10%, 9.09%.
   Profit- 12.5% = 1/8
   In both cases S.P is same so
   9 = 1800
   1 = 200
   M.P = 11 = 2200
   C.P = 8 = 1600.
3. If a student gets 25% marks he fails by 25 marks. If he gets 35% marks he passes by 35 marks. Find how much marks are required to clear the exam?
   A) 150
   B) 210
   C) 175
   D) 125
   
   View Answer

   Option C
   Solution:
   25…………35
   Difference = 10
   10% == 60
   So 100% == 600
   Passing marks = 25% of 600 + 25 = 150 + 25 = 175
4. In a class of 20 students the average marks is 65. If the marks of a new student is added then the ratio increases by 2 marks. Find the marks of the new student?
   A) 107
   B) 105
   C) 103
   D) 101
   
   View Answer

   Option A
   Solution:
   When a new student come, 2 marks are increased so on all (20+1) ….21*2 = 42
   So 65 + 42 = 107
5. A is 33(1/3)% efficient as B and 50% efficient as C. If together they can complete a work in 50 days. Then find in how many days B alone can do the work?
   A) 120
   B) 100
   C) 300
   D) 150
   
   View Answer

   Option B
   Solution:
   .                A : B ………….|………..A : C
   Efficiency  1 : 3………….. | ……….1 : 2
   Days         3 : 1……………|….…… 2 : 1
   Make A equal
   A : B : C
   6 : 2 : 3
   Total work is LCM (6,2,3) = 6
   So A’s days = 6/6 = 1, B’s = 6/2 = 3, C’s = 2
   So for C
   1 day ====50 days
   2 days === 100 days
6. A bus covers a distance in 24 hour. If it covers half of the distance with the speed of 60kmph and the other half @40kmph. Then find the distance cover by bus?
   A 1200
   B) 1152
   C) 1252
   D) 1100
   
   View Answer

   Option B
   Solution:
   Distance = s*t
   Average speed = (2*60*40)/(60+40) = 48
   So Distance = 48*24 = 1152 km
7. The ratio of present ages of A & B is 5: 7 and 4 years back the ratio was 2:3. Find their ages after 10 years.
   A) 30, 38
   B) 26, 34
   C) 30, 34
   D) 26, 38
   
   View Answer

   Option A
   
8. A student scored 23% of maximum marks and failed by 23 marks. But if he scores 43% of the marks in the same exam, he passes by 17 marks. What is the maximum marks of the exam?
   A) 250
   B) 220
   C) 200
   D) 180
   E) 300
   
   View Answer

   Option C
   Solution:
   Let, maximum marks = x
   (43-23)% of x = (23+17)
   20% of x = 40
   Solving we get, x= 200
   
9. A shopkeeper bought rice at the rate of 6 Rs/kg. While selling he uses false weights of 800 gms instead of 1 kg. If he sells rice making a profit of 66 2/3%, then he sold rice at what rate (per kg)?
   A) Rs 8
   B) Rs 5
   C) Rs 10
   D) Rs 12
   E) Rs 14
   
   View Answer

   Option A
   Solution:
   When he uses 800 gms instead of 1000 gms. He makes a profit of
   (1000-800)/800 × 100 = 25%
   Let on CP he gains x%.
   So using successive formula:
   25 + x + 25*x/100 = 66 2/3
   Solve x = 100/3 %
   Now CP is Rs 6. Profit % is 100/3 %
   Find SP.
   SP = (100 + 100/3)% of 6 = Rs 8 per kg.
10. A book seller sold a book at Rs. 56 in such a way that his percentage profit is same as the cost price of the book. If he sells it at twice the percentage profit of its previous percentage profit then new selling price will be?
    A) Rs. 72
    B) Rs. 32
    C) Rs. 42
    D) Rs. 62
    E) None of these
    
    View Answer

    Option A
    Solution:
    CP = x
    SP = x + (x * x)/100 = 56
    x² + 100x – 5600 = 0
    x = 40
    SP = 40 + (40 * 80)/100 = Rs. 72
    

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