Quantitative Aptitude Quiz for IBPS | IPPB – Set 172

1) A match box measures 4 cm by 2.5 cm by 1.5 cm. What will be the volume of a packet containing 12 such match boxes? How many such packets can be placed in a card board box whose size is 60 cm × 30 cm × 24 cm?
a)240
b)360
c)580
d)560

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Answer a)240
Volume of a match box= (4 × 2.5 × 1.5) cm3 = 15 cm3
=Volume of a packet containing 12 match boxes
= (12 × 15) cm3 = 180 cm3.
Now, volume of card board box
= (60 × 30 × 24) cm2 = 43200 cm3.
So, Number of packets that can be put in a
card board = 43200/180 = 240.

2)A rectangular block of ice measures 40cm by 25 cm by 15 cm. Calculate its weight in kg , if ice weighs 9/10 of the weight of the same volume of water and 1 cm3 of water weighs 1 gm?
a)10.5kg
b)13.5kg
c)18.6 kg
d)18.6 kg

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Answer b)13.5kg
Volume of rectangular block of ice
= 40 × 25 × 15 cm3 = 15000 cm3
Now, weight of 1 cm3 of water = 1 gm
and weight of 1 cm3 of ice = 9/10 th of the weight of 1 cm3 of water.
Weight of 1 cm3 of ice= 9/10 cm
Weight of the rectangular block of ice= (9/10*15000)cm = 13500gm= 13.5 kg

3) A rectangular water reservoir contains 42000 litres of water. Find the depth of the water in the reservoir if its base measures 6 m by 3.5 m.?
a) 2m
b)4m
c)5m
d)7m

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Answer a) 2m.
Volume of the reservoir = 42000 litres
=42000/1000 m3 [ 1 m3 = 1000 litres] = 42 m3.
Length of the reservoir = 6 m
Breadth of the reservoir = 3.5 m
Area of the base of the reservoir
= (6 × 3.5) m2 = 21 m2.
But, (Area of the base × Height) = Volume of the reservoir
so, Height or Depth of the reservoir = Volume/Area of the base
= 42/21 = 2m[/su_spoiler]

4)The average of five numbers is 56. If the average of first four numbers is 54. What is the value of the fifth number?
a) 68
b) 72
c) 56
d) 64
e) None of these

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Answer d) 64

5) If a number is added to seven-ninth of thirty five percent of 900, the value so obtained is 325. What is the number?
a) 60
b) 120
c) 90
d) 180
e) None of these

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Answer e) None of these

6) The ratio between the three angles of a quadrilateral is 1: 4: 5 respectively. The value of the fourth angle of the quadrilateral is 60˚. What is the difference between the value of the largest and the smallest angles of the quadrilateral?
a) 120˚
b) 90˚
c) 110˚
d) 100˚
e) None of these

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Answer a) 120˚

(Q7-10)In class of 84 students the boys and girls are in the ratio 5 : 7 respectively. Among the girls 7 can speak Hindi and English. 50 per cent of total students can speak only Hindi. The ratio between the number of students speaking only Hindi and only English is 21: 16 respectively. The ratio between the number of boys and girls speaking English only is 3: 5.

7) What is the number of boys who speak both the languages?
a) 4
b) 5
c) 3
d) 2
e) None of these

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Answer c) 3

8) What is the total number of girls who speak English only?
a) 12
b) 20
c) 22
d) Cannot be determined
e) None of these

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Answer b) 20

9) What is the ratio between the number of boys and girls respectively who speak Hindi only?
a) 10 : 11
b) 11 : 10
c) 2 : 5
d) Cannot be determined
e) None of these

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Answer a) 10 : 11

10) How many girls can speak Hindi?
a) 29
b) 22
c) 27
d) 23
e) None of these

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Answer a) 29