Quantitative Aptitude Quiz for SBI PO | IBPS – Set 112

1) Six women and 10 children together take six days to complete a piece of work. How many days will 10 children take to complete that piece of work if six women together can complete the same piece of work in 10 days?
a) 21
b) 18
c) 12
d) 15
e) None of these

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Answer d) 15
No. of Days = (6*10)/10-6
=60/4
=15

2) The ratio of the monthly incomes of Sneha, Tina and Akruti is 95:110:116. If Sneha’s annual income is 3,42,000, what is Akruti’s annual income?
a) 3,96,900
b) 5,63,500
c) 4,17,600
c) 3,88,000
e) None of these

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Answer c) 4,17,600
Sneha’s monthly income = 342000 / 12 = 28500
Akruti’s monthly income = (28500 / 95 ) * 116 = 34800
Akruti’s annual income = 34800*12 = 4,17,600

3) Meghna covered 3.36 km in four weeks by walking an equal distance each day. How many metres does she walk each day?
a) 100 m
b) 60 m
c) 140 m
d) 120 m
e) None of these

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Answer d) 120 m
Distance walked by Meghna in (4 × 7 =) 28 days
= (3.36 × 1000) metres.
Distance covered in I day = 3.36 * 1000 / 4 * 7 = 120m

4) The average of four consecutive even numbers A, B, C and D is 37. What is the product of A and C?
a) 1520
b) 1368
c) 1292
d) 1224
e) None of these

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Answer c) 1292
Average of consecutive even or odd numbers = a + (n – 1),
where a is the smallest number.
So, average of four consecutive even numbers = a + (4 – 1)
or, 37 = a + 3
or, a = 37 – 3 = 34
A = 34, B = 36, C = 38, D = 40
Product of A and C = 34 × 38 = 1292

5) The product of 5% of a positive number and 2% of the same number is 211.6. What is half of that number?
a) 230
b) 460
c) 920
d) 115
e) None of these

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Answer a) 230
Let the number be x.
Then, according to the question, 5x / 100 + 2x / 100 = 211.6
x = ±460
half of the number = 230

6) Find the missing number if the average of all the eight numbers is 474. 533, 128, 429, 225, _____, 305, 601, 804
a) 767
b) 781
c) 776
d) 758
e) None of these

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Answer a) 767
Sum of eight numbers = 474 × 8 = 3792
missing number = 3792 – (533 + 128 + 429 + 225 + 305 + 601 + 804)
= 3792 – 3025 = 767

7) The perimeter of a square is twice the perimeter of a rectangle. If the perimeter of the square is 56 cm and the length of the rectangle is 9 cm, what is the difference between the breadth of the rectangle and the side of the square?
a) 7 cm
b) 9 cm
c) 11 cm
d) 5 cm
e) None of these

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Answer b) 9 cm
Perimeter of the square = 56 cm
Side of the square = Perimeter/4 = 56/4 = 14 cm
Perimeter of the rectangle = 56/2 = 28 cm
or, 2(l + b) = 28
or, 9 + b = 14
or, b = 5 cm
Difference = (14 – 5 =) 9 cm

8) A truck covers a distance of 256 km at the speed of 32 km/hr. What is the average speed of a car which travels a distance of 160 km more than the truck in the same time?
a) 46 kmh^–1
b) 52 kmh^–1
c) 49 kmh^–1
d) 64 kmh^–1
e) None of these

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Answer b) 52 kmh^–1
Time taken by the truck = 256/32 = 8hr
Distance covered by the car = (256 + 160 =) 416 km
Time = 8 hr
Speed of the car = 416/8 = 52 km / hr

9) Sushil scored 103 marks in Hindi, 111 marks in Science, 98 marks in Sanskrit, 110 marks in Maths and 88 marks in English. If the maximum marks of each subject are equal and if Sushil scored 85 per cent marks in all the subjects together, find the maximum marks of each subject.
a) 110
b) 120
c) 115
d) 100
e) None of these

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Answer b) 120
Let the sum of maximum marks of all the subjects be x.
or, x * 85 / 100 = (103 + 111 + 98 + 110 + 88)
or, x = 510 * 100 / 85 = 600
Maximum marks of each subject = 600 / 5 = 120

10) A man riding a bicycle completes one lap of a square field along its perimeter at the speed of 39.6 km/hr in 1 minute 20 seconds. What is the area of the field?
a) 52900 sq m
b) 44100 sq m
c) 48400 sq m
d) Cannot be determined
e) None of these

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Answer c) 48400 sq m
Total distance covered by the man
= perimeter of the square = 39.6 * (5/18) * 80 = 880 m
Side of the square = 880/4 = 220m
Area of the field = (220)^2
= 48400 sq m

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