Aptitude Questions and Answers for PLACEMENTS

Ques. If 13 + 23+ 33+ ……….+ 93 = 2025 ,then the value of (0.11)3 + (0.22)3 + ….+ (0.99)3 is close to:
Op 1: 0.2695
Op 2: 0.3695
Op 3: 2.695
Op 4: 3.695
Op 5:
Correct Op : 3
Ques. In a purse there are 30 coins, twenty one-rupee and remaining 50-paise coins. Eleven coins are picked simultaneously at random and are placed in a box. If a coin is now picked from the box, find the probability of it being a rupee coin?
Op 1: 4/7
Op 2: 1/2
Op 3: 2/3
Op 4: 5/6
Op 5:
Correct Op : 3
Ques. A, B and C are three students who attend the same tutorial classes. If the probability that on a particular day exactly one out of A and B attends the class is 7/10; exactly one out of B and C attends is 4/10; exactly one out of C and A attends is 7/10. I
Op 1: 46/100
Op 2: 63/100
Op 3: 74/100
Op 4: 99/100
Op 5:
Correct Op : 4

Ques. A box contains 10 balls numbered 1 through 10. Anuj, Anisha and Amit pick a ball each, one after the other, each time replacing the ball. What is the probability that Anuj picks a ball numbered less than that picked by Anisha, who in turn picks a lesser n
Op 1: 3/25
Op 2: 1/6
Op 3: 4/25
Op 4: 81/400
Op 5:
Correct Op : 1

Aptitude Questions and Answers for PLACEMENTS

Ques. If |x| + |y| = 7, then what is the sum of minimum and maximum values of x + y?
Op 1: 3/2
Op 2: -7
Op 3: 7
Op 4: 0
Op 5:
Correct Op : 4
Ques. 832.58-242.31 =779.84- ?
Op 1: 179.57
Op 2: 199.57
Op 3: 295.05
Op 4: None of these
Op 5:
Correct Op : 4
Ques. Which is the closest approximation to the product 0.3333 * 0.25 * 0.499 * 0.125 * 24 ?
Op 1: 1/8
Op 2: 3/4
Op 3: 3/8
Op 4: 2/5
Op 5:
Correct Op : 1
Ques. The simplification of (0.2 * 0.2 + 0.02 * 0.02 - 0.4 * 0.02) / 0.36
Op 1: 0.009
Op 2: 0.09
Op 3: 0.9
Op 4: 9
Op 5:
Correct Op : 2

Aptitude Questions and Answers for PLACEMENTS

Ques. What is the highest power of 82 contained in 83!-82! ?
Op 1: 3
Op 2: 2
Op 3: 164
Op 4: None of these
Op 5:
Correct Op : 1
Ques. If x = 0.75, then what is the value of the expression (1+x+x2) + x3/(1-x) ?
Op 1: 0.25
Op 2: 4
Op 3: 1.75
Op 4: 1
Op 5:
Correct Op : 2

Ques. If a lies between 2 and 3, both included, and b lies between 4 and 6, both included, then what is the ratio of minimum and maximum limits of a2-b2?
Op 1: -4
Op 2: 4
Op 3: 32/7
Op 4: - 28/6
Op 5:
Correct Op : 3

Ques. If a, b, c are roots of the equation 1x3-4x2+6.5x + 3.5 = 0, then what is the value of a2 + b2 + c2?
Op 1: 1
Op 2: 64
Op 3: 169
Op 4: 3
Op 5:
Correct Op : 4

Aptitude Questions and Answers for PLACEMENTS

Ques. If a+b=6, ab=5, the value of a-b is:
Op 1: 4
Op 2: 5
Op 3: 6
Op 4: 7
Op 5: 9
Correct Op : 1

Ques. |X - 5| + 4 > 0 and |X2| < 4. Then x can be:
Op 1: 4
Op 2: 2
Op 3: 0.5
Op 4: All of these
Op 5:
Correct Op : 3
Ques. If f(x) = sum of all the digits of x, where x is a natural number, then what is the value of f(101)+f(102)+f(103)+ .. +f(200)?
Op 1: 1000
Op 2: 784
Op 3: 999
Op 4: 1001
Correct Op : 4
Ques. Pawan is a very confused person. Once he wrote 1+2+3+4+5+6+7+8+9+10 = 100. In how many places you need to change '+' with ' * ' to make the equality hold good ?
Op 1: 2
Op 2: 4
Op 3: 3
Op 4: None of these
Correct Op : 3

Aptitude Questions and Answers for PLACEMENTS

Ques. x4y-xy4 =
Op 1: xy(x-y)(x2 + xy + y2)
Op 2: xy(x+y)(x2-xy+y4)
Op 3: x(xy-1)(x2-xy+y)
Op 4: (x3+y2)xy
Op 5: None of these
Correct Op : 1
Ques. Factors of 6a2-25a+4 are:
Op 1: (a+4) (a-6)
Op 2: (a-4) (6a+1)
Op 3: (a-4)(6a-1)
Op 4: (a-6) (a-4)
Op 5: None of these
Correct Op : 3

Ques. The correct relationship after eliminating x, y and z from x+y = a, y+z=b and z+x = c and x+y+z = m, is:
Op 1: m=x+y+z
Op 2: 2m=a+b+c
Op 3: m=x-y-z
Op 4: 2m=x-y-z
Op 5: None of these
Correct Op : 2
Ques. If r = at2 and s = 2at, the relation among s, r and a is:
Op 1: s2=4ar
Op 2: s=ar
Op 3: s=2ar
Op 4: s2=ar
Op 5: None of these
Correct Op : 1

Aptitude Questions and Answers for PLACEMENTS

Ques. If x = (1/2) (2p+2q-r), y = (1/3) (-p-2q+3r) and z=(1/5) (3p-4r+5q), then the value of 2x-3y-5z is:
Op 1: 0
Op 2: -q
Op 3: 2
Op 4: None of these
Op 5:
Correct Op : 2

Ques. The roots of the quadratic equation 6x2-5x+1=0 are:
Op 1: 2,3
Op 2: 1/2,1/3
Op 3: 3,4
Op 4: 1/3,1/4
Op 5: None of these
Correct Op : 2
Ques. If a = 16, b=25, the value of 1/(a-1/2 - b-1/2) is:
Op 1: 10
Op 2: 15
Op 3: 20
Op 4: 25
Op 5: 30
Correct Op :3

Ques. 3a2 (ab+bc+ca) =
Op 1: 3a2+3a2bc+3a3c
Op 2: 3a3b+3a2bc+3c
Op 3: 3a3b+3a2bc+3a3c
Op 4: a3b+abc+a2c
Op 5: None of these
Correct Op : 3

Aptitude Questions and Answers for PLACEMENTS

Ques. The ascending order of rational numbers -7/10, 5/-8, 2/-3 is:
Op 1: -7/10, 2/-3, 5/-8
Op 2: -7/10, 5/-8, 2/-3
Op 3: 5/-8, -7/10, 2/-3
Op 4: 2/-3, 5/-8, -7/10
Op 5:
Correct Op : 1

Ques. If A is real and 1 + A + A2 + A3 = 40, then A is equal to:
Op 1: -3
Op 2: -1
Op 3: 1
Op 4: 3
Op 5:
Correct Op : 4


Ques. (1 + 3 + 5 + … + 3983) / 1992 = ?
Op 1: 1988
Op 2: 1992
Op 3: 1990
Op 4: None of these
Op 5:
Correct Op : 2


Ques. Which one of the following should be added to 25p2 + 16q2, so that the resulting sum becomes a perfect square?
Op 1: 20pq
Op 2: 30pq
Op 3: 40pq
Op 4: 50p2q2
Op 5:
Correct Op : 3

Aptitude Questions and Answers for PLACEMENTS

Ques. Which of the following multipliers will cause a number to be increased by 29.7% ?
Op 1: 1.297
Op 2: 12.97
Op 3: 129.7
Op 4: 1297
Op 5:
Correct Op : 1


Ques. If 2A = 3B and 4B = 5C, then A: C is:
Op 1: 4 : 3
Op 2: 8 : 15
Op 3: 15 : 8
Op 4: 3 : 4
Op 5:
Correct Op : 3


Ques. 0.4777 . . . is the recurring decimal for the fraction:
Op 1: 4777/100000
Op 2: 477/100
Op 3: 437/1000
Op 4: 43/90
Op 5:
Correct Op : 4


Ques. 0.8888 ÷ 0.011 is equal to:
Op 1: 8.08
Op 2: 80.8
Op 3: 0.808
Op 4: None of these
Op 5:
Correct Op : 2

Aptitude Questions and Answers for PLACEMENTS

Ques. If x * y = x2 + y2 - xy, then the value of 9 * 11 is:
Op 1: 93
Op 2: 103
Op 3: 113
Op 4: 121
Op 5:
Correct Op : 2


Ques. If a = 0.1039, then the value of (4a2 - 4a + 1)1/2 + 3a is:
Op 1: 0.1039
Op 2: 0.2078
Op 3: 1.1039
Op 4: 2.1039
Op 5:
Correct Op : 3


Ques. If a, b, c, d, e are five consecutive odd numbers, their average is:
Op 1: 5 (a + 4)
Op 2: (abcde/5)
Op 3: 5 (a + b + c + d + e)
Op 4: None of these
Op 5:
Correct Op : 4

Ques. (x % of 932) + 30 = 309.6
Find x.
Op 1: 25
Op 2: 30
Op 3: 35
Op 4: 40
Op 5:
Correct Op : 2

Aptitude Questions and Answers for PLACEMENTS

Ques. If 33 untrained labourers can do a work in 15 days of 12 hr. each, how many trained labourers can do 50% more work in 11 days of 9 hr each ? (It may be assumed that it takes 2 trained labourers to do the work of 5 untrained labourers)
Op 1: 42
Op 2: 36
Op 3: 90
Op 4: 100
Op 5:
Correct Op : 2


Ques. Which of the following fractions is less than 7/8 and greater than 1/3 ?
Op 1: 1/4
Op 2: 23/24
Op 3: 11/12
Op 4: 11/24
Op 5:
Correct Op : 4


Ques. 892.7 - 573.07 - 95.007 = ?
Op 1: 224.623
Op 2: 224.777
Op 3: 233.523
Op 4: 414.637
Op 5:
Correct Op : 1


Ques. Which is the closest approximation to the product 0.3333 x 0.25 x 0.499 x 0.125 x 24 ?
Op 1: 1/8
Op 2: 3/4
Op 3: 3/8
Op 4: 2/5
Op 5:
Correct Op : 1

Aptitude Questions and Answers for PLACEMENTS

Ques. 16 men complete one-fourth of a piece of work in 12 days. What is the additional number of men required to complete the work in 12 more days ?
Op 1: 48
Op 2: 36
Op 3: 30
Op 4: 16
Op 5:
Correct Op : 4


Ques. A takes thrice as long to do a piece of work, as B takes. A and B together can do a piece of work in 7.5 days. A alone can do in:
Op 1: 30 days
Op 2: 40 days
Op 3: 50 days
Op 4: 60 days
Op 5: None of these
Correct Op : 1

Ques. A cistern can be filled by two pipes A and B in 10 and 15 hours respectively and is then emptied by a tap in 8 hours. If all the taps are opened, the cistern will be fill in:
Op 1: 21 hours
Op 2: 22 hours
Op 3: 23 hours
Op 4: 24 hours
Op 5: None of these
Correct Op : 4


Ques. A locomotive engine, without any wagons
attached to it, can go at a speed of 40 km/hr. Its speed is diminished by a quantity that varies proportionally as the square root of the number of wagons attached. With 16 wagons, its speed is 28 km/hr. The
Op 1: 99
Op 2: 100
Op 3: 101
Op 4: 120
Op 5:
Correct Op : 2

Aptitude Questions and Answers for PLACEMENTS

Ques. If 5 persons can do 5 times of a work in 5 days, then 10 persons can do 10 times of that work in:
Op 1: 10 days
Op 2: 8 days
Op 3: 5 days
Op 4: 2 days
Op 5:
Correct Op : 3


Ques. Two taps can fill a cistern in 6 min. and 7 min. respectively. If these taps are opened alternatively for a minute, in what time will the cistern be filled?
Op 1: 5.67 min
Op 2: 6.25 min
Op 3: 5 min
Op 4: 45/7 min
Op 5:
Correct Op : 4

Ques. Two taps A and B can fill a cistern in 28 min. and 42 min. respectively. Third tap C can empty it in 42 min. If all the three taps are opened, the time taken to fill the cistern is:
Op 1: 30 min
Op 2: 35 min
Op 3: 28 min
Op 4: 42 min
Op 5:
Correct Op : 3


Ques. 49 pumps can empty a reservoir in 6½ days, working 8 hours a day. If 196 pumps are used for 5 hours a day, then the same work will be completed in:
Op 1: 2.6 days
Op 2: 3 days
Op 3: 2.5 days
Op 4: 2 days
Op 5:
Correct Op : 1

Aptitude Questions and Answers for PLACEMENTS

Ques. If 7 spiders make 7 webs in 7 days, then 1 spider will make 1 web in how many days ?
Op 1: 1
Op 2: 7/2
Op 3: 7
Op 4: 49
Op 5:
Correct Op : 3


Ques. Some persons can do a piece of work in 12 days. Two times the number of such persons will do half of that work in:
Op 1: 6 days
Op 2: 4 days
Op 3: 3 days
Op 4: 12 days
Op 5:
Correct Op : 3


Ques. A and B can do a work in 12 days, B and C in 15 days, C and A in 20 days. If A, B and C work together, they will complete the work in:
Op 1: 5 days
Op 2: 47/6 days
Op 3: 10 days
Op 4: 47/3 days
Op 5:
Correct Op : 3


Ques. A and B can do a job together in 7 days. A is 7/4 times as efficient as B. The same job can be done by A alone in:
Op 1: 28/3 days
Op 2: 11 days
Op 3: 49/4 days
Op 4: 49/3 days
Op 5:
Correct Op : 2

Aptitude Questions and Answers for PLACEMENTS

Ques. I started on my bicycle at 7 a.m. to reach a certain place. After going a certain distance, my bicycle went out of order. Consequently, I rested for 35 minutes and came back to my house walking all the way. I reached my house at 1 p.m. If my cycling s
Op 1: 4.92 km
Op 2: 13.44 km
Op 3: 14.375 km
Op 4: 15.476 km
Op 5:
Correct Op : 1



Ques. Find a whole number such that when one of its digit is erased, the resulting number is equal to one-ninth of the original number. The resulting number is also a multiple of 9.
Op 1: 90
Op 2: 83438
Op 3: 10125
Op 4: 70847
Op 5:
Correct Op : 3


Ques. A ship is moving at a speed of 30 kmph. To know the depth of the ocean beneath it, it sends a radiowave which travels at a speed 200 m/s. The ship receives back the signal after it has moved 500 m. What is the depth of the ocean?
Op 1: 4 km
Op 2: 8 km
Op 3: 6 km
Op 4: 12 km
Op 5:
Correct Op : 3

Aptitude Questions and Answers for PLACEMENTS

Ques. A can contains a mixture of two liquids A and B in the ratio 7:5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7:9. How many litres of liquid A was contained by the can initially ?
Op 1: 10
Op 2: 20
Op 3: 21
Op 4: 25
Op 5:
Correct Op : 3




Ques. A man bought a number of clips at 3 for a rupee and an equal number at 2 for a rupee. At what price per dozen should he sell them to make a profit of 20% ?
Op 1: Rs 4
Op 2: Rs 5
Op 3: Rs 6
Op 4: Rs 7
Op 5:
Correct Op : 3



Ques. Padam purchased 30 kg of rice at the rate of 17.50 per kg and another 30 kg rice at a certain rate. He mixed the two and sold the entire quantity at the rate of Rs. 18.60 per kg and made 20% overall profit. At what price per kg did he purchase the lot
Op 1: Rs.12.50
Op 2: Rs. 13.50
Op 3: Rs. 14.50
Op 4: Rs. 15.50
Op 5:
correct opt:2

Aptitude Questions and Answers for PLACEMENTS

Ques. Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1:1:2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg will be:
Op 1: Rs. 169.50
Op 2: Rs. 170
Op 3: Rs. 175.50
Op 4: Rs. 180
Op 5:
Correct Op : 3

Ques. A can contains a mixture of two liquids A and B in the ratio 7:5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7:9. How many litres of liquid A was contained by the can initially ?
Op 1: 10
Op 2: 20
Op 3: 21
Op 4: 25
Op 5:
Correct Op : 3

Ques. A man bought a number of clips at 3 for a rupee and an equal number at 2 for a rupee. At what price per dozen should he sell them to make a profit of 20% ?
Op 1: Rs 4
Op 2: Rs 5
Op 3: Rs 6
Op 4: Rs 7
Op 5:
Correct Op : 3