Aptitude Questions : Miscellaneous
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Aptitude Questions : Miscellaneous
1) If two squares are selected randomly in a chessboard, then find what is the probability that both the squares are either black in a single row or column or white in a single row or column?
a) 2/21
b) 4/21
c) 1/7
d) Can’t be determined
e) None of these In a chessboard there are 64 squares, 8 rows and 8 columns. In each rows or column there are 4 white and 4 black squares. In a single row the possibility of two squares selected to be either black or white= So for 8 rows=8×2×4c2 Similarly for 8 columns=8×2×4c2
2) In how many ways the letters of the word “FOUNDATION” can be arranged so that all the consonants always come together?
a) 24200
b) 23500
c) 21600
d) 27200
e) None of these 
3) The surface area of a cube is 726 square metres. Find out the length of its diagonal.
a) 
b) 
c) 
d) 
e) None of these
4) The sides of rectangular garden are 25 m x 64 m. What is the perimeter of a square garden with same area?
a) 180 m
b) 160 m
c) 152 m
d) 178 m
e) None of these 
5) The ratio of present ages of Vishal and Sidhu is 3:5 respectively. 5 years ago the ratio of their ages was 2:5 respectively. What will be Sidhu’s age after 7 years?
a) 15 years
b) 35 years
c) 10 years
d) 22 years
e) None of these Let the ages of Vishal and Sidhu be 3x and 5x
6) Rahul and Harish invested Rs.6000 and Rs.8000 respectively. After six months, Arun joined them and invested Rs.4000. If the total profit earned after one year is Rs.3200. Then what is the Rahul’s share in profit?
a) Rs.1600
b) Rs.1200
c) Rs.800
d) Rs.1000
e) None of these Profit ratio of Rahul, Harish and Arun=6000×12: 8000×12: 4000×6 =3:4:1
7) Rani covered 
of his total journey by walk, 
of his journey by car and rest of the journey by bus. If the speed of Rani, car and bus are 8 km/hr, 64 km/hr and 32 km/hr respectively then what is the average speed of Rani during entire journey?
a) 42.66 km/hr
b) 34.66 km/hr
c) 21.33 km/hr
d) 69.32 km/hr
e) None of these Let total journey be x km.
8) A and B can finish a work in 5 days. C’s efficiency is half of the efficiency of A, and D is twice efficiency as B.C and D working together can finish the same work in 4 days. Then in how many days will A and B individually finish the work?
a) 10 days, 20 days
b) 15 days, 20 days
c) 10 days, 10 days
d) 12 days, 20 days
e) None of these Let A takes x days and B takes y days to complete a piece of work. Solve (1) and (2) x=10, y=10 A alone can finish the work in 10 days and B alone can finish the work in 10 days. 
9) A sum of money is to be distributed among A, B, C and D. Distributed money are in the proportion of13:7:9:6. If A gets Rs.4000 more than C, then what is B’s share?
a) Rs.14000
b) Rs.7000
c) Rs.8000
d) Rs.16000
e) None of these
10) The radius of the two solid iron spheres are 4 cm and 5 cm respectively. These two spheres are melted to make a new solid cylinder whose height is 7 cm. Find its radius?
a) 3 cm
b) 4 cm
c) 6 cm
d) 8 cm
e) 9 cm Volume of two spheres=volume of cylinder
