Quantitative Aptitude For Competitive Examinations (English) 7th Edition
61. Henna invested Rs.5000 at 12% simple interest p.a.the interest she will receive after 2 years is:
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
Ans: (5000*12*12)/100= 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
Ans:
Red

Yello

Green

Arrangements

0

0

3

3C_{0}+4C_{3}

1

0

2

3C_{1}+4C_{2}

2

0

1

3C_{2}+4C_{1}

3

0

0

3C_{3}+4C_{0}

Total = 35
Probability = 35/12C_{3 }=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
A. 4 B. 0 C. 2 D. 8
Ans: Not Available please comment below the answer for others help, will be updated then.
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
A. 4%p.a B. 2%p.a C. 5%p.a D. 3%p.a
Ans: 5%
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}
A. 25 cm^{2} B. 29 cm^{2} C. 18 cm^{2} D. 20 cm^{2}
Ans:
2(a+b) = 18
(a+b)=9
√ (a^{2} + b^{2} ) = √41
(a+b)^{2} = a^{2}+b^{2} + 2ab
ab=20
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
Ans: Not Available please comment below the answer for others help, will be updated then.
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
Ans: 5/2
68. 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. 8 B. 12 C. 0 D. 2
Ans: Not Available please comment below the answer for others help, will be updated then.
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}
Ans: Not Available please comment below the answer for others help, will be updated then.
70. Rs 5000 was divided among 5 men, 6 women and 5 boys, such that the ratio of the shares of men, women and boys is 5:3:2 what is the share of the boy?
a. 200 b. 100 c. 250 d. 150
Ans: 200
The ratio of shares of groups of men, women and boys = 5 :3 :2
So share of boys is = (2/10)*5000 = 1000
Share of a boy= 1000/5 = 200
71. If 28 Men working 6 hours a day can finish a work in 15 days. In how many days can 21 men working 8 hours per day will finish the same work?
a. 24 days b. 21 days c. 18 days d. 15 days
Ans: 15 days
Work = 28 * 6 * 15 — (1)
Work = 21 * 8 * x — – (2)
Equating (1) and (2)
28 * 6 * 15 = 21 * 8 * x
X= 15
72. A train is running at the rate of 60 kmph. A man is also going in the same direction on a track parallel to the rails at a speed of 45 kmph. If the train crosses man in 48 seconds, the length of the train is?
a. 50m b. 150m c. 100m d. 200m
Ans: 200 m
Speed = distance/time;
Distance= speed * time
= (6045) * 48 * ( 5/18) ( relative speed in same direction is s1s2 and kmph to m/sec 5/18)
= 200m
73. Find the last two digits of the expansion (2^{12n}6^{4n}) when n is a positive integer?
a. 5 b. 11 c. 10 d. 00
Ans: 00
Assume n=1
Then answer is 00
74. Read the information given below and answer the questions that follow
(a$b) = (a+b)/2
(a&b) = (a^{2}b^{2})
(a?b)=(ab)/2
What is the value of [(22$4)&(25?15)]?
a. 154 b. 144 c. 112 d. 125
a. 154 b. 144 c. 112 d. 125
Ans: 144
75. Which of the following graph indicates the graph of {(sin t, cos t): π/2≤t≤0} in xyplane?
a. D b. C c. B d. A
Ans: B
When t = 90 then (sin t, cos t) = (1,0)
When t=0 then (sin t, cos t) = (0,1)
Plot above two points in xy plane.
Answer: Option (C)
Ans: B
When t = 90 then (sin t, cos t) = (1,0)
When t=0 then (sin t, cos t) = (0,1)
Plot above two points in xy plane.
Answer: Option (C)
76. There are 4 boys and 3 girls. They sit in a row randomly, what is the probability that all the girls are together?
a. 1/14 b. 3/14 c. 2/14 d. 5/14
Ans: 2/14
Probability = (favourable cases / total cases)
Favourable cases = girls together.
= 4 boys + 1 ( assume 3 girls as 1 ) = 5! * 3! ( girls can be arranged in 3! Ways)
Total cases = 7!
So probability= (5! * 3!)/7! = 1/7
77. The simple interest on Rs. 4,500 for 4 years at 15% p.a is:
a. Rs. 2700 b.Rs. 2500 c. Rs. 2300 d. Rs. 3000
Ans: 2700
Simple interest = (P * T * R )/ 100
Ans: 2700
78. A rectangular grassy plot is 112 m by 78 m. It has a gravel path 2.5 m m wide all around it on the inside. Find the area of the path
a. 952 m^{2 } b. 926 m^{2} c. 912 m^{2} d.950 m^{2}
Ans: 925 m^{2}
This question is very very important
Area of the path = (112*78) – (73 * 107) = 925m^{2}
79. A cone of height 21 cm has a volume of 2200 cm^{3}. Determine the base radius of the cone
a. 2.5 cm b. 10 cm c. 7.5 cm d. 5 cm
Ans: 10 cm
Volume of cone = (1/3) Pi * r2 * h = 2200
r=10 cm
80. what is the radius of the circular plate of thickness 1cm made by melting a sphere of radius 3cm?
A. 6 cm B. 5 cm C . 4 cm D.7 cm
Ans: 6 cm
Volume of a sphere = (4/3) * pi * r^{3 } –(1) ( here r =3cm)
Volume of circular plate of thickness 1 cm is = pi * r^{2} * h — (2) ( here h=1cm that is thickness )
Equating (1) and (2)
r=6cm