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Directions (1-5): The following table shows different items sold by the shopkeeper, cost price/kg of items, percentage mark-up on cost price, marked price/kg and percentage discount offered on marked price.
(Note: Some values are missing, you need to calculate those values if required.)
Items | Cost Price/Kg | % Mark-up price | Marked Price/Kg | % Discount |
A | – | – | – | 9% |
B | 500 | 20% | – | – |
C | – | 10% | 275 | – |
D | – | – | 800 | 18% |
E | 750 | – | – | – |
Directions (Q. 6-10) Read the following information carefully and answer the following questions carefully. The pie-chart below shows percentage distance travelled by different cars and the table shows speed of different cars.
Note: All the questions are independent from other questions.
Answers:
1). Answer: c
Cost Price of item D = MP×100/((100 + %Mark-up) )
= 800×100/((100 + 33 1/3) )
= 800 * (100/(400/3))
= 800 * ¾
= Rs.600
Original Selling Price = MP × ((100 – %Discount))/100
= 800 × ((100 – 18))/100
= Rs. 800 *82/100
= Rs. 656
Original Profit = SP – CP = Rs.656-600 = Rs.56
New Selling Price = MP × ((100 – %Discount))/100 × ((100 – %Discount))/100
= 800 × ((100 – 12))/100 × ((100 – 13))/100
= Rs. 800 * 88/100 * 87/100 = Rs.612.48
New Profit = SP – CP = 612.48 – 600 = Rs.12.48
% Decrease in Profit = ((56-12.48))/56×100 = 78% approximately
2). Answer: d
Cost price of item A = 2 * Marked price of item C – 150 = Rs.400
Marked price of item A = 5/8× Marked price of item D = Rs.800 * 5/8 = Rs.500
Selling Price of item A = MP×((100 – %Discount))/100
= 500×((100 – 9))/100
= Rs.455
Profit/kg = SP – CP = 455 – 400 = Rs.55
Quantity Sold = (Total Profit)/(Profit/kg) = 1320/55 = 24 kg
3). Answer: e
Cost Price of pure item C = MP×100/((100 + %Mark-up))
= 275×100/((100 + 10) )
= 275 *100/110 = Rs.250
Cost Price/kg of the mixture = (Total Cost Price)/(Total Quantity)
= > (5×120 + 15×250)/(5 + 15) = Rs.217.5
New Discount = 14% + 10% * 14 = 14+1.4 = 15.4%
New Selling price = = MP×((100 – %Discount))/100
= 275×((100 – 15.4))/100
= Rs.232.65
New Profit % = (New Selling Price – New Cost Price)/(New Cost Price)×100
= (232.65- 217.5)/217.5×100
= 6.9 = 7% (Approximately)
4). Answer: a
Selling Price of item B = CP × ((100 + %Mark-up))/100 × ((100 – %Discount))/100
= 500 × ((100 + 20))/100 × ((100 – 8))/100
= Rs.552
1kg of item B is spoiled out of total 10 kg, so only 9 kg is available for sale.
Total Profit = Total Selling Price – Total Cost Price
= 9 × 552– 10 × 500
= 4968 – 5000 = – 32
= Rs. 32 (loss)
5). Answer: c
Selling Price of item E = CP * (100+% Marks-up)/100×((100 – %Discount))/100
Selling price of item E = 750* (100+20)/100 * (100 – 17)/100 = Rs. 747
Loss = CP – SP = 750 – 747 = Rs.3
Loss percentage = (3/750) * 100 = 0.4%
Direction (6-10)
6). Answer: c
Distance travelled by Car C= 4*35= 140km
Distance travelled by car F= 140*10/14= 100km
Speed of car F = 35*120/100= 42km/hr
Time taken by car F to cover the distance
= 100/42= 2(8/21) hours.
7). Answer: d
Distance travelled by car B
= 20*15/5
= 60km
Distance travelled by car D
= 20*20/5
= 80km
Let the speed of car D be x
Speed of car B= 2x
So,
80/x- 60/2x= 5
160-60/2x= 5
100= 10x
x= 10kmph
Speed of car B= 20kmph
8). Answer: b
Let the total distance travelled by all the cars be x
So,
Distance travelled by car A= 25*x/100= x/4
Distance travelled by car E= 16*x/100= 4x/25
Time taken by car A= x/4 ÷ 30= x/120
Time taken by car E= 4x/25 ÷40= x/250
Now,
x/ 120 + x/250= 37/4
(25x + 12x)/3000= 37/4
37x/3000 = 37/4
X= 3000/4 = 750
x= 750 km
Distance travelled by car C= 14*750/100= 105km
9). Answer: e
Distance travelled by car C
= 1250*14/100
= 175 km
Distance travelled by car A
= 1250*25/100
= 312.5 km
Time taken by car C= 175/35= 5 hours
Time taken by car A= 312.5/30= 10 hours
Required difference= 10-5= 5 hours
10). Answer: e
Let the total distance travelled by all the car be x
So,
Distance travelled by car E= 16*x/100= 4x/25
Distance travelled with 40kmph speed= 4x/25÷2= 2x/25
Reduced speed= 40*70/100= 28kmph
Distance travelled with 28kmph speed= 2x/25
Now,
2x/25÷40 + 2x/25 ÷ 28= 8.5
2x/1000 + 2x/700 = 8.5
14x+ 20x/7000= 8.5
34x= 8.5*7000
x= 8.5*7000/34= 1750km
Distance travelled by car C= 14*1750/100= 245km
Time taken by car C= 245/35= 7hours
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This post was last modified on March 18, 2022 8:50 am