# QUANT QUIZ

1.
An aeroplane flies with an average
speed of 532 km/hr. A helicopter takes 32 hours to cover twice the distance
covered by aeroplane in 8 hours. How much distance will the helicopter cover in
8 hours hours? (assuming that flights are non-stop and moving with uniform
speed)
(1) 2128 km                                  (2) 2218 km
(3) 2812 km                                  (4) 1228 km
(5) None of these

2.
The circumference of a semicircle
of area 1925 sq. cm is equal to the breadth of a rectangle. If the length of
the rectangle is equal to the perimeter of a square of side 48 cm. What is the
perimeter of the rectangle in cm?
(1) 734                                           (2)
754
(3) 745
(4) 764
(5) None of these
3.
The difference between the
sum  of four consecutive odd numbers  and three consecutive even numbers together
is 20. Also, the largest even number is 5 more than the largest odd number.
What is the sum of the smallest odd number and the smallest even number ?
(1)77                                              (2)71

(3) 879                                           (4)
83
(5) Cannot be determined
4.
One of the angles of a
quadrilateral is thrice the smaller angle of a parallelogram. The respective
ratio between the adjacent angles of the parallelogram is 4:5. Remaining three
angles of the quadrilateral are in ratio 4:11:9 respectively. What is the sum
of the largest and the smallest angles of the quadrilateral?
(1)285°                                          (2)270°

(3) 260°                                         (4)
290°
(5) None of these
5.
The respective ratio between the
present ages of A is 2:7:8:12. The average age of A and B is 27 years. What
will be average age of C and D after 4 years?
(1) 60 years                                   (2) 64 years
(3) 67 years                                   (4) 69 years
(5) None of these
6.
In an examination P scored 25
marks less than Q. Q scored 45 more marks than R. T scored 75 marks which is 10
more than R. U’s score is 80 less than maximum marks of the test. What
approximate percentage of marks did U score in the examination if he gets 55
marks more than Raman?
(1) 90                                             (2)
70
(3) 80                                             (4)
60
(5) 85
7.
Two
pipes A and B can fill a tank independently in 10 hours and 15 hours
respectively, while pipe C can empty it in 30 hours. All pipes are kept open
for 6 hours after which pipes B and C are closed. In what time now onwards
would the tank get full?
(1) 6 hours                                     (2) 2 hours
(3) 2.5 hours                                  (4) 3 hours
(5) None of these
8.
The largest and the smallest
angles of a triangle are in the ratio of 3:1 respectively. The second largest
angle of the triangle is equal to 56°. What is the value of largest angle of
the triangle?
(1) 49                                             (2) 129
(3) 123                                           (4) 93
(5) None of these
9.
Fifteen
men take 21 days of 8 hours each to do a piece of work. How many days of 6
hours each would 21 women take if 3 women do as much work as 2 men?
(1) 20                                             (2) 21
(3) 25                                             (4) 30
(5) 40 days
10.  John purchased an item for  Rs.
52,000 and sold it at loss of 25 percent. With that amount he purchased another
item and sold it at a gain of 40 percent. What was his overall gain/loss ?
(1) Loss of  Rs. 2600                    (2)
Profit of Rs. 2600
(3) Loss of Rs. 6200                     (4) Profit of  Rs. 6200
(5) None of these
 1 1 2 5 3 1 4 3 5 2 6 4 7 2 8 4 9 4 10 2
1.(1) Distance covered by aeroplane
in 8 hours = 8 x 532 = 4256 km
Distance covered by helicopter in 32 hours = 2 x 4256
= 8512
Distance covered by helicopter 8 hours = 8512/4 = 2128
km
semicircle = 1925

πr2/2
= 1925  r2 = 1225   r = 35
Circumference of semicircle
=
πr + 2 r = 22/7 x 35 +
2 x35 =180
Breadth of rectangle = 180 cm
Length of rectangle = perimeter of square = 4 x 48 =
192 cm
Perimeter of rectangle = 2 (180 + 192) = 744 cm
3.(1)Let
the odd numbers be x, x + 2, x + 4, x + 6 and the even numbers be y, y + 2, y +
4.
Now  (4x + 12) –
(3y + 6) = 20
And (y + 4) – (x + 6) = 5
Solving them, we get x = 35 and y = 42
Required sum = 35 + 42 = 77
4.(3)Let
the adjacent angles of the parallelogram be 4x and 5x. then
4x +5x = 180
X =20
Angles of the parallelogram are 80° and 100°.
One angle of the given quadrilateral = 240°
Let the remaining three
angles be 4y, 11y and 9y.
240 + 4y + 11y + 9y = 360
Y = 5°
So the angles of the
°, 55°, 45° and 240°.
Required sum = 240° + 20° = 260°
5.(2)Let
the present ages of A, B, C and D be 2x, 7x, 8x and 10x respectively.
Now   2x
+ 7x = 54
X = 6
Average age of C and D at present = 10x = 60
years
Average age of C and D after 4 years = 64
years
6.(4)Marks
of T = 75
Marks of R = 65
Marks of Q = 110
Marks of P = 85
Marks of U = 120
Maximum marks = 200
Required percentage = 120/200 x 100 = 60%
7.(2)Let
the capacity of the tank be 30 litres.
So Pipe A can fill 3 litre/hour, Pipe B can
fill 2 litre/hour and Pipe C can empty 1 litre/hour.
Together they can fill = 3 + 2 – 1 = 4
litre/hour
Tank filled in 6 hours = 24 litres
Time to fill the remaining tank by pipe A
alone = 6/3 = 2 hours
8.(4)Let
the largest and smallest angles be x and 3x. Now
x + 3x + 56 = 180
x = 31
largest angle = 93°.
9.(4)3W
= 2M
21 W = 14 M
Let the required number of days be x.
N1 D1 H1 = N2
D2 H2
15 X 21 X 8 = 14 X 6 X x
X = 30 days
10.(2)CP
of first item = Rs. 52000
Selling price of second item = 52000 x 0.75 x
1.4
His
overall profit = 54600 – 52000 = 2600