# Quantitative Aptitude Quiz for IBPS Clerk Prelims 2015 – Set 5

Hello and welcome to ExamPundit. Here is a set of Quantitative Aptitude Quiz for IBPS Clerk Prelims 2015.

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?
1) 21
2) 18
3) 12
4) 15
5) None of these

Solutions – Number of days required = 6 × 10/10–6
= 60/4 = 15

2. The ratio of the
monthly incomes of Neha, Rima and Simran is 95:110:116. If Neha’s annual income
is
Rs.3,42,000, what is Simran’s
annual income?
1) Rs.3,96,900
2) Rs.5,63,500
3) Rs.4,17,600
4) Rs.3,88,000
5) None of these

Solutions – Neha’s monthly income = 342000/12 =
28500

So, Simran’s monthly income =
28500/95 × 116 = 34800
Simran’s annual income = 417600
3. Megha covered 3.36
km in four weeks by walking an equal distance each day. How many metres does

she walk each day?
1) 100 m
2) 60 m
3) 140 m
4) 120 m
5) None of these

Solutions – 3.36 × 1000/4 × 7 = 120m

4. 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?
1) 7 cm
2) 9 cm
3) 11 cm
4) 5 cm
5) None of these

Solutions – Perimeter of the square = 56 cm

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

So, Difference = 14 – 5 = 9 cm

5. A truck covers a
distance of 256 km at the speed of 32 kmh–1. What is the average speed
of a car
which travels a distance of
160 km more than the truck in the same time?
1) 46 kmh–1
2) 52 kmh–1
3) 49 kmh–1
4) 64 kmh–1
5) None of these

Solutions – Time taken by the truck = 256/32 = 8
hr

Distance covered by the car = 256 + 160 = 416 km
Time = 8 hr

So, Speed of the car = 416/8 = 52 km/h

6. A man riding a
bicycle completes one lap of a square field along its perimeter at the speed of
39.6
kmh–1 in 1 minute 20
seconds. What is the area of the field?
1) 52900 sq m
2) 44100 sq m
3) 48400 sq m
4) Cannot be determined
5) None of these

Solutions – Total distance covered by the man = perimeter of the square

or, 39.6 × 5/18 × 80 = 880m
Side of the square = 880/4 = 220 m

Area of the field = (220)2 = 48400 sq m

7. The compound
interest accrued in two years on a principal amount of Rs.16,250 is Rs.5,616 .
What is
the rate of interest pcpa?
1) 22%
2) 16%
3) 18%
4) Cannot be determined
5) None of these
8. Out of the
fractions 3/5, 7/9, 4/7,
2/3 and 5/8, what is the difference
between the largest and the smallest
fractions?
1) 8/63
2) 19/63
3) 11/63
4) 17/63
5) None of these

Solutions – Largest = 7/9

Smallest = 4/7

So, 7/9 – 4/7 = 49 – 36/63 = 13/63

9. On Children’s Day,
3200 sweets were to be equally distributed among a certain number of children.

But on that particular day 80 children
remained absent and hence each child got two sweets extra. How
many children were originally supposed to
be there?
1) 320
2) 500
3) 540
4) 400
5) Cannot be determined

Solutions – Let the total number of children be x.

So, (x–80)(3200/x + 2) = 3200
or, 2×2 – 160x = 3200 × 80
or, x2 – 400x + 320x – 3200 × 40
or, × (x – 400) + 320 (x – 400)
or, × – 400 = 0
or, × = 400

10. In how many
different ways can the letters of the word ‘VIRTUAL’ be arranged among themselves?
1) 840
2) 5040
3) 2520
4) 1680
5) None of these

Solutions –  There are seven letters in the word “VIRTUAL”.

Therefore, number of different ways in which these letters
can be arranged

= ˪7 =
7 × 6 × 5 × 4 × 3 × 2 = 5040

Regards

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