Forty percent of the employees of a certain company are men, and 75 percent of the men more than Rs. 25,000 per year. If 45 percent of the company's employees earn more than Rs. 25,000 per year, what fraction of the women employed by the company earn Rs. 25,000 year or less'?
Let there are 100 employees. No of men = 40 No of women = 60 No of men earning 25000 or less = 40/4 = 10 No of employees earning 25000 or less = 55 No of women earning 25000 or less = 55 - 10 = 45 Fraction of women = 45/60 = 3/4
Q. No. :
2
Question :
One litre of water is added to 10 litres of a 40% solution of alcohol in water. What is the final strength of the alcohol.
A :
36.36%
B :
25.28%
C :
20%
D :
16%
Answer: A
Q. No. :
3
Question :
If X is an odd integer, which of the following must be odd?
1. 2x + x II. x + x + x III. x * x * x
These questions are based on the situation given below:
Rajiv reaches city B from city A in 4 hours, driving at the speed of 35 km per hour for the first 2 hours and at 45 km per hour for the next two hours. Aditi follows the same route, but drives at three different speeds: 30, 40 and 50 km per hour, covering an equal distance in each speed segment. The two cars are similar with petrol consumption characteristics (km per litre) shown in the figure below.
Q. No. :
4
Question :
The amount of petrol consumed by Aditi for the journey is
A :
8.3
B :
8.6
C :
8.9
D :
9.2
Answer: C
Q. No. :
5
Question :
Zoheb would like to drive Aditi's car over the same route from A to B and minimize the petrol consumption for the trip. The amount of petrol required by him is
A :
6.67 Litres
B :
6.33 Litres
C :
7 Litres
D :
6.0 Litres
Answer: A
Q. No. :
6
Question :
If a square is formed by the diagonal of the square as an edge, what is the ratio between the area?
A :
2
B :
4
C :
1
D :
16
Answer: A
Q. No. :
7
Question :
Initially two cups of same volume are present with milk filled upto 3/5th and 4/5th of their volumes.Water is then filled. Then two mixtures are mixed. Find the ratio of water to milk in the mixture.
A :
4:7
B :
5:7
C :
2:7
D :
3:7
Answer: D
Q. No. :
8
Question :
Once I had been to the post-office to buy stamps of five rupees, two rupees and one rupee. I paid the clerk Rs 20, and since he did not have change, he gave me three more stamps of one rupee. If the number of stamps of each type that I had ordered initially was more than one, what was the total number of stamps that I bought?
At least two stamps of each type were ordered initially. So Rs. 2(5 + 2 + 1) = Rs. 16 have been spent. That leaves
Rs. (20 - 16) = Rs. 4. In these Rs. 4, three more stamps of one rupee were given, thus accounting for Rs. 19 in all. Since one more rupee remains, it means that one more stamps of Re. 1 was bought initially. So the total number of stamps is 2(of Rs. 5) + 2 (of Rs. 2) + 6(of Re. 1). Note that this is the only possible combination of stamps which is consistent with the given data.
Q. No. :
9
Question :
Two pipes can fill the cistern in 10hr and 12 hr respectively, while the third empty it in 20hr. If all pipes are opened simultaneously, then the cistern will be filled in
Work done by all the tanks working together in 1 hour=> 1/10 + 1/12 - 1/20 = 2/15 Hence, tank will be filled in 15/2 = 7.5 hour.
Answer the questions on the basis of following information
The plan above shows an office for six officers. A,B,C,D,E and F. Both B and C occupy offices to the right of the corridor (as one enters the office block) and A occupies an office to the left of the corridor. E and F occupy offices on opposite sides of the corridor but their offices do not face each other. The offices of C and D face each other. E does not have a corner office. F's is further down the corridor than A's but on the same side.
Q. No. :
10
Question :
If E sits in his office and faces the corridor , whose office is to his left?
A :
A
B :
B
C :
C
D :
D
Answer: C
Q. No. :
11
Question :
Whose office faces A's office?
A :
B
B :
C
C :
D
D :
E
Answer: D
Q. No. :
12
Question :
Who is/are F's neighour(s)?
A :
A Only
B :
A and D
C :
C Only
D :
B and C
Answer: A
Q. No. :
13
Question :
D was heard someone to go further down the corridor to the last office on the right. To whose room was he trying to direct that person?
A :
A
B :
B
C :
C
D :
F
Answer: B
Q. No. :
14
Question :
Out of two -thirds of the total number of basket-ball matches, a team has won 17 matches and lost 3 of them. What is the maximum number of matches that the team can lose and still win three-fourths of the
total number of matches, if it is true that no match can end in a tie?
n(n2 - 1) = n(n - 1) (n + 1). If n is a an odd number and n > 1, then either of (n + 1) and (n - 1) is a multiple of 4 and
the other is a multiple of 2. Also, since (n - 1), n, (n - 1) are three consecutive numbers, one of them must be a
multiple of three. thus the product has to be a multiple of (4 ? 3 ? 2) = 24.
Q. No. :
16
Question :
In a class total 34 students, 16 have a brother, 15 have sisters, 9 students don't have either
brothers or sisters. Find the number of students having both brother and sisters.
Number of students having both brother and sister =(16 + 15 + 9) - 34 = 6
Q. No. :
17
Question :
A batsman scored 18 runs in his 18th innings and that makes his average 18. Find his average upto the
17th innings?
A :
19
B :
20
C :
18
D :
21
Answer: C
Answer the questions based on the following information:-
A, S, M and D are functions of x and y, and they are defined as follows:
A(x, y) = x + y
S(x, y) = x - y
M(x, y) = xy
D(x, y) = x/y, where y not equal to 0.
Q. No. :
18
Question :
What is the value of M(M(A(M(x, y), S(y,x)), x), A(y, x)) for x = 2, y = 3
Substitute the values and find the answers. Be careful while carrying out the substitutions, especially the
order of x and y in the subtractions and the divisions.
Q. No. :
19
Question :
What is the value of S(M(D(A(a, b), 2), D(A(a, b),2)), M(D(S(a, b), 2), D(S(a, b),2)))
A :
a² + b²
B :
ab
C :
a² - b²
D :
a/b
Answer: B
Each question consists of five statements followed by options consisting of three statements put together in a specific order. Choose the option which indicates a valid argument, that is, where the third statement is a conclusion drawn from the preceding two statements.
Example:
A. All cigarettes are hazardous to health.
B. Brand X is a cigarette.
C. Brand X is hazardous to health.
ABC is a valid option, where statement C can be concluded from statements A and B.
Q. No. :
20
Question :
A. All software companies employ knowledge workers.
B. Tara Tech employs knowledge workers.
C. Tara Tech is a software company.
D. Some software companies employ knowledge workers.
E. Tara Tech employs only knowledge workers.
A :
ABC
B :
ACB
C :
CDB
D :
ACE
Answer: B
Q. No. :
21
Question :
A. Traffic congestion increases carbon monoxide in the environment.
B. Increase in carbon monoxide is hazardous to health.
C. Traffic congestion is hazardous to health.
D. Some traffic congestion does not cause increased carbon monoxide.
E. Some traffic congestion is not hazardous to health.
A :
CBA
B :
BDE
C :
CDE
D :
BAC
Answer: D
Q. No. :
22
Question :
A. Apples are not sweets.
B. Some apples are sweet.
C. All sweets are tasty.
D. Some apples are not tasty.
E. No apple is tasty.
A :
CEA
B :
BDC
C :
CBD
D :
EAC
Answer: A
Q. No. :
23
Question :
A. Some towns in India are polluted.
B. All polluted towns should be destroyed.
C. Town Meghana should be destroyed.
D. Town Meghana is polluted.
E. Some towns in India should be destroyed.
A :
BDE
B :
BAE
C :
ADE
D :
CDB
Answer: B
Q. No. :
24
Question :
A. No patriot is a criminal.
B. Bundledas is not a criminal.
C. Bundledas is a patriot.
D. Bogusdas is not a patriot.
E. Bogusdas is a criminal.
A :
ACB
B :
ABC
C :
ADE
D :
ABE
Answer: A
Q. No. :
25
Question :
Out of a no. of electronic items, a person purchases 50% coloured TV’s 10% of these are found to be defective. The % of defective T.V’s in all is
If x = total items No. of items purchased = 0.50 Defective items = 10% x 50 = 5%
Q. No. :
26
Question :
Thickness of a rectangular box is P units. Its breadth is 4 more than the thickness and length 2 more than the breadth. What is the volume of the box.?
These questions are based on the situation given below:
A road network (shown in the figure below) connects cities A, B, C and D. All road segments are straight lines. D is the midpoint on the road connecting A and C. Roads AB and BC are at right angles to each other with BC shorter than AB. The segment AB is 100 km long.
Ms. X and Mr. Y leave A at 8:00 am, take different routes to city C and reach at the same time. X takes the highway from A to B to C and travels at an average speed of 61.875 km per hour. Y takes the direct route AC and travels at 45 km per hour on segment AD. Y's speed on segment DC is 55 km per hour.
Q. No. :
27
Question :
What is the average speed of Y in km per hour?
A :
47.5
B :
49.5
C :
50
D :
52
Answer: B
Q. No. :
28
Question :
The total distance traveled by Y during the journey is approximately
Distance traveled by X = AB + BC = 100 + BC Distance traveled by Y = AC Avg Speed of X = 61.875 kmph Let time taken by both = t hr So, 61.875t = 100 + BC And, AD/45 + DC/55 = t AD = DC as D is the mid point or, AC[1/90 + 1/110] = t or, 200AC = 9900t or, AC = 99/2t Hence (100+BC)/61.875 = AC/49.5 Now check from answer, put AC = 105 So BC2 = AC2- AB2 or BC = √1025 = 32 (100+BC)/AC = 132/105 = 1.25 = 61.875/49.5 Hence AC = 105
Q. No. :
29
Question :
What is the length of the road segment BD?
A :
50
B :
52.5
C :
55
D :
Cannot be determined
Answer: B
These questions are based on the situation given below:
Ten coins are distributed among four people P, Q, R, S such that one of them gets one coin, another gets two coins, the third gets three coins and the fourth gets four coins. It is known that Q gets more coins than P, and S gets fewer coins than R.
Q. No. :
30
Question :
If the number of coins distributed to Q is twice the number distributed to P then which one of the following is necessarily true?
A :
R gets an even number of coins.
B :
R gets an odd number of coins.
C :
S gets an even number of coins.
D :
S gets an odd number of coins.
Answer: D
Q. No. :
31
Question :
If R gets at least two more coins than S, then which one of the following is necessarily true?
A :
Q gets at least two more coins than S.
B :
Q gets more coins than P.
C :
P gets more coins than S.
D :
P and Q together get at least five coins.
Answer: B
Q. No. :
32
Question :
If Q gets fewer coins than R, then which one of the following is not necessarily true?
A :
P and Q together get at least four coins.
B :
Q and S together get at least four coins.
C :
R and S together get at least five coins.
D :
P and R together get at least five coins.
Answer: A
Q. No. :
33
Question :
The speed of a railway engine is 42 Km per hour when no compartment is attached, and the reduction in speed is directly proportional to the square root of the number of compartments attached. If the speed of the train carried by this engine is 24 Km per hour when 9 compartments are attached, the maximum number of compartments that can be carried by the engine is:
reduction in speed r = k√x where x is number of compartments v = 42 - k√x kmph 24 = 42 - k√9 or, k = 18/3 = 6 For max number of compartment v >0 or, 42 - 6√x > 0 or, 6√x < 42 or, √x < 7 or, x < 49 So, x = 48
Q. No. :
34
Question :
If the radius of a circle is decreased by 25% its area will decrease by
Let original radius = r , original area = p *r2 New radius = 3r/4 m, New area = p (3r/4)2
= p *r2/16
Decrease in area = p* r2 - 9p r2/16
= 7 p r2/16
Decrease % =m 7 p* r2 * 1/ p r2* 100
= 43.75%
Each question contains six statements followed by four sets of combinations of three. Choose the set in which the statements are logically related.
Q. No. :
35
Question :
1. Some spanials are not good hunters.
2. All spanials are gentle dogs.
3. No good hunter is a gentle dog.
4. All gentle dogs are spanials.
5. Some gentle dogs are not good hunters.
6. Some spaniels are good hunters.
A :
125
B :
346
C :
265
D :
561
Answer: A
Q. No. :
36
Question :
1.Some women are undependable.
2.All women are undependable.
3. No undependable person is fit for employment.
4. All who are fit for employment are women.
5. Some undependable persons are fit for employment.
6. No one who is fit for employment is a woman.
A :
236
B :
165
C :
246
D :
631
Answer: A
Q. No. :
37
Question :
1. All introverts are paid well.
2. All doctors are paid well.
3. Some of those who are paid well are not doctors.
4. No doctor is an introvert.
5.Some introverts are doctors.
6. Some introverts are paid well.
For a scholarship, at most n candidates out of 2n + 1 can be selected. If the number of different ways of selection of at least one candidate is 63, the maximum number of candidates that can be selected for the scholarship is:
Different ways of selection of at least one candidate out of m candidates = mC1 + mC2 + ... + mCm = 2m - 1 2m - 1 = 63 or, m = 6 Now 2n + 1 = 6 or, n = 2.5 So at most 2 candidate can be selected.
