Cocubes aptitude questions with solutions1
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1. The cost price of 10 articles is
equal to the selling price of 9 articles. find the profit percent.
a. 101/9 % b. 100/9 % c.
102/9 % d. 103/9 %
2. The ratio of radii of two right
circular cylinders is 6:7 and their heights are in the ratio 5:9. The ratio of
their respective curved surface areas is
a. 14:15 b. 17:19 c. 23:29 d.
10:21
3. In how many ways can the 7 letters
A,B,C,D,E,F and G be arranged so that C and E never together.
a. 5040 b.
6480 c. 3600 d. 1440
4. How many numbers are there in all
from 4000 to 4999 (both 4000 and 4999 included) having at least one of their
digits repeated? a. 356 b. 216 c. 496 d. 504
5. if 1/2x +1/4x+1/8x=14 Then the value of x is: a. 8 b. 12 c. 4 d. 16
6. Which of the following expressions
will always be true?
7.
8. Find the value of h[f(1,2,3), g(2,1,2), h(1,1,1)]. a. 0.5 b.
none c. 1 d. 0
9. A trapezium with an area of 5100 cm^{2}
has the perpendicular distance between the two parallel sides of 60m .
a. 130 m b.
110 m c. 120 m d. 145 m
10. Find the simple interest on Rs.
306.25 from March 3^{rd} to July 27^{th}( In the same year ) at
3.75 percent.
a. Rs. 4.57 b. Rs. 4.59 c. Rs. 4.53 d.
Rs 4.58
11. Dhruv and Naksh drive at the speeds
of 36 Kmph and 54 kmph respectively. If Naksh takes 3 hours lesser tha what
dhruv takes for the same distance. Then distance is : a. 324 km b. 524 km c. 320 km d.
420 km
12. The radius of wheel of axis's car is
50 cm. What is the distance that the car would cover in 14 revolutions?
a. 11 m b.
22 m c. 33 m d. 44 m
13. P can do a piece of work in 5 days of 8 hours
each and Q can do in 4 days of 6 hours each. How long will they take do it
working 5 hours a day? a. 2 days b. 3 days c.
4 days d. 5 days
14. Libra had three diamond weighing
equal. One of the diamond fell and broke into 4 equal pieces weighing 20gm
each. what was the total weight of three diamonds.
a. 200 gm b. 280 gm c.
320 gm d. 240 gm
16. if the antecedent and consequent of
a ratio are increased by 5 and 6 respectively then the ratio is 5:6. find the
original ratio. a. 5:6 b. 1:2 c. 2:3 d. 3:4
17. Rohit and rahul start from the same
point and move away from each other at right angle. After 4 hours they are 80
km apart. if the speed of rohit is 4 kmph more than rahul. what is the speed of
rohit?
a. 16 kmph b. 20 kmph c.
12 kmph d. none
18. abhimanyu and supreet can together
finish a work in 50 days. They worked together for 35 days and then supreet
left. After another 21 days, abhimanyu finished the remaining work. In how many days abhimanyu alone can
finish the work? a. 70 days b. 75 days c. 80 days d.
60 days
19. if two fair dice are thrown
simultaneously. then what is the probability that sum of the numbers appearing
on the top faces of the dice is less than 4? a.
6/14 b. none c. 1/12 d. 3/18
20.
which of the following equations best
describes the given curve?
a. (y+3) = x b. y= cos x c.
y = tan x d. (x+y) = 0
21. 3 individuals john wright, greg
chappell and gary kristen are in the race for the appointment of new coach of
team india. The probablities of their appointment are 0.5, 0.3 and 0.2
respectively. If john wright is appointed then probability of ganguly appointed
as a captain will be 0.7 and corresponding probablity if greg chappell or gary
kristen is appointed are 0.6 and 0.5 respectively. find the overall probability
that ganguly will appointed as a captain.
a. 0.63 b.
0.35 c. 0.18 d. 0.89
22. A man spends Rs 660 on tables and
chairs. the price of each table is Rs. 150 and the price of each chair is Rs.
20. If he buys maximum number of tables, what is the ratio of chairs to tables
purchased?
a. 2: 5 b.
3:5 c. 2:3 d. 3:4
23. two packets are available for sale.
pakcet a: peanuts 100 gms for Rs 48 only
packet b: peanuts 150 gms for Rs 72 only
which is a better buy?
a. both have the same value b. packet b c. data insufficient d.
packet a
24.find the surface area of a piece of
metal which is in the form of a parellelogram whose base is 10 cm and height is
6.4 cm a. 64 cm^{2} b. 65 cm^{2} c. 45 cm^{2} d. 56 cm^{2}
25. sridevi is younger than rajeev by 4
years. if their ages are in the ratio of 7:9. how old is sridevi?
26. A sum of Rs. 900 amounts to Rs. 950
in 3 years at simple interest. If the interest rate is increased by 4%, it
would amount to how much?
27. two trains for palwal leave kanpur
at 10a.m and 10:30 am and travel at the speeds of 60 kmph and 75 kmph
respectively. After how many kilometers
from kanpur will the two trains be together?
28.
(x + 1/x) = 6 the value of ( x^{5 } + 1/x^{5} ) = ?
29. In how many ways can 44 people be
divided into 22 couples?
30. Find the remainder when ( x^{3} + 4 x^{2} + 6 x  2 )
is divided (x+5)
31. a solid cylinder has total surface
area of 462 cm^{2} . If total surface area of the cylinder is thrice of
its curved surface area. then the volume of the cylinder is:
a. 539 cm^{3} b. 545 cm^{3} c. 531 cm^{3} d. 562 cm^{3}
32.
In which year was there lowest wheat
import?
a. 1973 b.
1974 c. 1975 d. 1982
33. What is the ratio of number of years
which have imports above the average imports to those which have imports below
the average imports?
a. 5:3 b.
2: 6 c. 3: 8 d. none
34. The increase in imports in 1982 was
what percent of the imports in 1981?
a. 25% b.
5% c. 125% d. 80%
35. The section of a solid right
circular cone by a plane containing vertex and perpendicular to base is an
equilateral triangle of side 10 cm. find the volume of the cone? a. 221.73 cm^{3 }b.223.73 cm^{3 }c.228.73 cm^{3} d.226.61 cm^{3 }
36. A sum of Rs 468.75 was lent out at
simple interest and at the end of 1 year and 8 months, the total amount of Rs
500 is recieved. find the rate of interest. a.
2% b. 4% c. 1% d. 3%
37.Consider
the following two curves in the XY plane
y=(x^{3}+x^{2}+5)
y=(x^{2}+x+5)
Which
of the following statements is true for 2<= x <=2?
a.
The two curves do not intersect. b.
The two curves intersect thrice.
c.
The two curves intersect twice. d.
The two curves intersect once.
38.Give
a model for maximizing the profit in a company or minimizing the loss in a
conflict with optimization techniques.where quantity f(x) is reffered to as the
object function while the vector ‘x’consists of decision variables.
A.
None of the mentioned options. B. x* =arg min f(x) C. x* =arg max f(x) D.
x*
=a_{n1}+a_{n} arg min f(x)n
39.
A positive integer is selected at random and is divided by 7,what is the
probability that the remainder is 1?
A.
3/7 B. 4/7 C. 1/7
D. 2/7
40.
A mixture of 40 litres of salt and water contains 70%of salt.how much water
must be added to decrease the salt percentage to 40%? A. 40 litres B. 30
litres C. 20 litres D.2 litres
41.
Anirudh,Harish and Sahil invested a total of Rs.1,35,000 in the ratio 5:6:4
Anirudh invested has capital for 8 months. Harish invested for 6 months and
Sahil invested for 4 months. If they earn a profit of Rs.75,900,then what is
the share of Sahil in the profit? A.
Rs.12,400 B. Rs.14,700 C. Rs.15,800
D. Rs.13,200
42.
A man sets out to cycle from Delhi to Rohtak and at the same time another man
starts from Rohtak to cycle to cycle to Delhi. After passing each other they
completed their journey in (10/3) hours and (16/3) hours respectively.At what
rate does the second man cycle if the first cycle at 8 kmph?
A.6.12
kmph B.6.42 kmph C. 6.22 kmph
D. 6.32 kmph
43.Two
trains are travelling in opposite directions at uniforms speeds of 60 kmph and
50 kmph.They take 5 seconds to cross each other.If the two trains travelled in
the same directions.then a passenger sitting in the faster moving train would
have overtaken the other than in 18 seconds.what are the lengths of the trains?
A.
87.78 m and 55 m B.112 m and 78
m C.102.78 m and 50 m D.102.78 m and 55 m
44.
A cube is given with an edge of 12 units.it is painted on all faces and then
cut into smaller cubes of edge of 4 units. How many cubes will have 2 faces
painted? A. 2 B. 12
C. 8 D. 0
45.Two
numbers are in the ratio xy,when 2 is added to both the numbers.the ratio
becomes 1:2.when 3 is subtracted from both the numbers. The ratio becomes
1:3.Find the sum of x and y. A.
27 B. 24 C. 28
D. 26
46.
To earn extra profit,a shopkeeper mixes 30 kg of dal purchased at Rs.36/kg and
26 kg of dal purchased at Rs.20/kg.What will be the profit that he will make if
he sells the mixture at Rs.30/kg?
A.
Rs.60 B. Rs.80 C. Rs.50
D. Rs.100
47.
There are 4 boys and 3 girls.they sit in arrow randomly.what is the probability
that all girls are together?
A.
1/14 B. 2/14 C. 5/14
D. 3/14
48.
An oblong piece of ground measures 19m 2.5 dm by 12m5dm.Fom centre of each side
of the ground,a path 2 m wide goes across to the center of the opposite
side.What is the area of the path?
A.
59.5 m^{2 } B. 54 m^{2} C. 43 m^{2 } D. 34 m^{2}
49.
The circumference of the wheel of a truck is 1 meter.To cover a distance of 1.5
km.the number of revolutions made by the wheel are: A. 3000
B. 37 C. 1500
D. 750
50.
If (x+(1/x))=4,the value of (x^{5}+(1/x^{5})) is: A. 724 B. 500
C. 752 D. 525
Read the information given below in the tabke
and answer the question that follow.
Year

Gross turnover in lakh

Profit before int. and
depr.

Interest in lakh

Depreciation in lakh

Net profit
Lakh

198081
198182
198283

1380
1401
1540

380.92
404.98
520.03

300.25
315.40
390.85

69.90
71.12
80.12

10.67
18.46
49.16

198384
198485
198586

2112
2520
2750.99

599.01
811
920

444.44
505.42
600.20

88.88
91.91
99

65.59
212.78
220.80

51.During
which year did the net profit exceed Rs.1 crore for the first time?
A.198586 B. 198384 C. 198485 D.
None of the mentioned options
52.During
which year was the “gross tutnover” closest to thrice the profit before
interest and depression?
A.
198586 B. 198384
C. 198485 D.
None of the mentioned options.
53.
During which of the given years did the net profit from the highest proportion
of the profit before interest and depression? A. 198586 B.
198384 C. 198485
D. None of the mentioned
options.
54.
A sum was put at simple interest at certain rate for 3 years.Had it been put at
1% higher rate it would have fetched Rs. 63 more. The sum is: A. Rs. 2,400 B. Rs. 2,100 C. Rs.
2,200 D.Rs. 2,480
55.Forwhat
value of “k” will the equation (2kx^{2} + 5kx +2)=0 have equal roots?
A. 2/7
B. 9/4 C. 16/25
D. 7/18
56.In
triangle PQR, PQ=6 cm,PR=8 cm and QR=12 cm. Calculate the area of the triangle
PQR.
A.
23.33 cm^{2} B. 17.5 cm^{2} C. 21.33 cm^{2} D. 28.67 cm^{2}
57.
A company named “Dyona Automobiles”has received an order for 5,000 widgets for
a total sale price of $5,000 and wants to determine the gross profit that will
be generated by completing the order.
The
other details for producing 100,000 widgets are given as follows:
1.Raw
Materials Costs$10,000
2.Direct
Labor Costs$50,000
A. $5,000
B. $4,000 C. $3,000 D. $2,000
58. If
m=(2√3),then the value of (m^{6}+m^{4}+m^{2}+1)
/m^{3} is:
A. 64
B. 56 C.
69 D. 52
59.
28 children can do a piece of work in 50 days.how many children are needed to
complete the work in 30 days?
A. 49
B. 40 C.
35 D. 45
60.
A certain sum of money becomes Rs.750 in 2 years and becomes Rs.873 in 3.5
years.Find the sum and rate of interest. A. Rs.400, 13% p.a B. Rs.500,11%p.a C. Rs.630,12%p.a D. Rs.600,13%p.a
61.
Henna invested Rs.5000 at 12% simple interest p.a.the interest she will receive
after 2 years is:
A.
Rs.800 B. Rs.1000
C. Rs.600 D.
Rs.1200
62.A
bag contains 3 red,5yellow and 4 green balls.3 balls are drawn randomly,what is
the probability that the ball drawn contains no yellow ball? A. 9/44 B.
37/44 C. 43/44
D. 7/44
63.
If a^{2}+b^{2}4(a+b)= 8,then the value of (ab) is: A.
4 B. 0
C. 2 D.
8
64.
A lent Rs.600 to b for 2 years and
Rs.150 to C for 4 years and receive all together Rs.90 as both as interest.Find
the rate of interest. A. 4%p.a
B. 2%p.a C. 5%p.a D. 3%p.a
65.
If the perimeter and the diagonal of a rectangle is 18 cm and √41 cm
respectively.Calculate the area of the rectangular field. A. 25 cm^{2} B. 29 cm^{2} C. 18 cm^{2} D. 20 cm^{2}
66. A,B, and C enter into a partnership and their
shares are in the ratio 1/2 : 1/3 : 1/4.After 2 months,A withdraws half of his
capital and after 10 months,a profit of RS. 378 is divied among them. What is
B’s share?
A. Rs.144
B. Rs.156 C. Rs.166 D.
Rs.129
67.
If a:b =4:1,then √(a/b)+ √(b/a) is :
A.
1 B. 4/5 C.
None of the mentioned options
D. 5/4
A. 8
B. 12 C.
0 D. 2
69.Find
the area of Rhombus one of whose diagonals measures 8 cm and the other 10 cm.
A.
47 cm^{2} B. 34cm^{2 } C. 40 cm^{2} D. 64cm^{2}