Top Careers & You
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SNAP – 2004 Section – 2 (QUANTITATIVE) 26.
There are 6 balls of different colours and 3 boxes of different sizes. Each box can hold all the 6 balls. The balls are put in the boxes so that no box remains empty. The number of ways in which this can be done is, (a) 534
27.
(b) 543
If r be the number of distinct rational numbers
(c) 540
(d) 528
p ∈ (0, 1) such that p, q are the numbers on the faces of q
an ordinary die than 10
n ∑ n . Pn + 1 =
n=1
(a) r !
28.
29.
(b) (r – 1)!
(c) (r + 1)!
(d) (r + 2)!
If the total numbers of relations from Set A to Set B is 1024, and n(A) > 1, n(B) > 1, then (a) n(A) = 2, n(B) = 5
(b) n(A) = 5, n(B) = 1
(c) n(A) = 10, n(B) = 1
(d) n(A) = 1, n(B) = 10
On a railway there are ten(10) stations. The number of types of tickets required in order that it may be possible to book a passenger from every station to every other is (a)
30.
10! 2!
(b) 10! 2!
(c)
10! 8!
(d)
10! 8! 2!
The number of way in which the letters of the word “ARGUEMENT” can be arranged so that only consonants occurs at both the ends is (a) 3! * 5!
31.
(b) 14400
(c) 41000
(d) None of these
If Ur denotes the number of one-one functions from (X1, X2, ………. Xr) to (Y1, Y2, ………. Yr) such that f(X1) ≠ Y1, for i = 1, 2, 3, ………. r then U4 = (a) 9
32.
(b) 44
(c) 265
(d) None of these
If the number of ways of selecting r balls with replacement out of n balls numbered. 1, 2, 3 ……, 10 such that the largest number selected is 10 is 271, then r = (a) 4
33.
(b) 5
(c) 3
(d) None of these
The number of ways in which the digits of the number 125453752 can be arranged such that no two 5’s come together is (a)
9! 3! 2!
(b)
7! 3! 2!
7
(c)
C 3 × 6! 2!
(d) None of these
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34.
Simplifying the equation would give (a) 9/17
35.
®
(4 +
5 ) / 3 / 2 + (4 −
5 )3 / 2
(6 +
35 )3 / 2 − ( 6 −
35 )3 / 2
(b) 7/13
.
(c) 11/7
(d) 0
After a typist had written a ten letters and had addressed the ten corresponding envelopes, a careless mailing clerk inserted the letters in the envelopes at random, one letter per envelope. What is the probability that exactly nine letters were inserted in the proper envelope? (a) 3
36.
(b) 1
(c) 0
(d) 9
On a 26 question test, five points were deducted for each wrong answer and eight points were credited for each correct answer. If all the questions were answered, how many were correct if the score was zero, (a) 13
37.
(b) 6
(c) 9
(d) 10
There are n players in an elimination type singles tournament. How many matches must be played (or defaulted) to determine the winner? (a) n + 1
38.
(b) n – 1
(c) n – 2
(d) n + 2
The axes of symmetry to two 2-inch right circular cylinder intersect at right angles. What volumes do the cylinder have in common? (a) 12
39.
(b) 16
(c) 24
(d) 4
Each edge of a cube is a 1 _ ohm resistor. What is the resistance between two diagonally opposite vertices of the cube? (a) 11/9
40.
(b) 1/3
(c) 2/3
(d) 5/6
Ten turns of wire are helically wrapped around a cylindrical tube with outside circumference 4” and length 9”. The ends of the wire coincide with the ends of the same cylindrical element. Find the length of the wire. (a) 27”
41.
(c) 41”
(d) 43”
(c) 718,290,102,375
(d) 798,290,102,975
Multiply 5746320819 by 125 (a) 748,290,103,375
42.
(b) 36”
(b) 728,490,301,375
A company offered its 350 employees a bonus of Rs. 10 to each male and Rs. 8.15 to each female. All the females but certain percentage of males refused to accept. The total bonus paid was not dependent upon the number of new employed. What was the total amount paid to the women? (a) 2445
(b) 1222.50
(c) 1262.50
(d) 2525
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Top Careers & You 43.
Which are two numbers whose difference and whose quotient are each equal to 5? (a) 5/4 and 25/4
44.
®
(b) 15/2 and 30/2
(c) 11 and 16
(d) 7 and 12
A series of books was published at seven year interval. When the seventh book was issued, the sum of the publication years was 13,524. When was the first book published? (a) 1932
45.
(b) 1942
(c) 1911
(d) 1917
In a given period of days, it was observed that when it rained in afternoon, it had been clear in the morning, and when it rained in the morning, it was clear in the afternoon. It rained on 9 days and was clear on 6 afternoons and 7 mornings. How long was the period? (a) 21
46.
(b) 17
(c) 13
(d) 11
Three edges of a square sheet of metal are kept at 0o each and the fourth edge is kept at 100o. Neglecting surface, radiation losses, what is the temperature n the middle of the sheet? (a) 100o
47.
(b) 25o
(b) 4
(b) x = 107 y = 192
The simplest reduction to the lowest terms of (a) 11/3
50.
(c) 2 2/5
(d) 2 ½
Which pair from below will not satisfy the equation 187x – 104y = 41 (a) x = 3 y = 5
49.
(d) None of the above
If 1/4 of 20 is 6 than 1/5 of 10 is (a) 3
48.
(c) 75o
(b) 7/11
(c) x = 211 y = 379
(d) x = 314 y = 565
116, 690, 151 is 427, 863, 887 (c) 3/11
(d) None of above
Two ferry boats ply back and forth across a river with constant speeds, turning at the bank without loss of time. They leave opposite shores at the same instant, meet for first time 700ft from one shore continue on their ways to the banks, return and meet for the second time 400ft from the opposite shore. What is width of river? (a) 1100 feet
51.
(b) 1700 feet
(c) 1300 feet
(d) 1100 feet
3 truck drivers went to roadside café. st
1 purchased 4 sandwiches, 1 coffee, 10 biscuits and paid Rs. 1.69 paise. nd
2
purchased 3 sandwiches, 1 coffee, 7 biscuits and paid Rs. 1.26 paise. rd
What did 3 truck driver pay for a sandwich, a cup of coffee, and one biscuit? (a) 35 paise
(b) 89 paise
(c) 68 paise
(d) 40 paise
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Top Careers & You 52.
®
10 people start a club. If there had been five more in the group, the initial expenses to each would have been Rs. 100 less. What was initial cost per person? (a) 250
53.
(b) 300
(c) 500
(d) 400
A 27 quartz capacity car radiator is filled with 18% alcohol solution. How many quartz be drained and then be replaced by a 90% alcohol solution for resulting solution to contain 42% alcohol? (a) 9 quartz
54.
(b) 7 quartz
(c) 11 quartz
(d) 14 quartz
If 70% of adult males of a community have brown eyes, 75% have hair, 85% are over 5’8” tall and 90% weigh more than 140 pounds, what % at least have all four characteristics. (a) 60%
55.
(b) 45%
(c) 20%
(d) 48%
Henry started a trip into the country between 8 A.M. and 9 A.M. when the hands of clock were together. He arrived at his destination between 2 P.M. and 3 P.M. when the hands of the clock were exactly 180o a part. How long did he travel. (a) 6 hours
(b) 7 hours
(c) 9 hours
(d) 11 hours
Direction for questions 56 – 59: Refer to the following table. Given below are the win loss histories of four tennis players in three set matches. No. of matches played.
P
Q
R
S
Won 2-0
23
18
10
16
Won 2-1
13
16
13
14
Lost 0-2
8
13
16
13
Lost 1-2
6
8
20
17
56.
If a win carries an award of Rs. 1500 and a loss of Rs. 1000, what is the largest difference in prize money earned among the four? (a) 7000
57.
(d) 9000
(b) 1300
(c) 1195
(d) 1150
As in the case above what is the highest average prize money won per match by any player? (a) 1495
59.
(c) 5000
As in the case above what is the lowest average prize money won per match by any player? (a) 1135
58.
(b) 14000
(b) 1360
(c) 1460
(d) 1410
(c) R
(d) S
Who has lost the maximum % of matches played? (a) P
(b) Q
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Direction for questions 60 to 67: Follow the given instructions. Each item has a question followed by two statements Mark a if the question can be answered with the help of statement A alone Mark b if the question can be answered with the help of statement B alone Mark c if the question can be answered with the help of both the statements but not with the help of either statement itself Mark d if the question can not be answered even with the help of both the statements
60.
The average of three quotations for a particular item is Rs. 120. Is the highest quotation less than or equal to Rs. 139? A. The lowest quotation of Rs. 90 B. One of the quotation is Rs. 125 (a)
61.
(b)
(c)
(d)
How many people read both Economic Times and Financial Express? A.
Out of 300 readers, 200 read financial express, 220 read Economic times and 50 read Indian Express
B.
Out of total 300 readers, 200 read financial express, 220 read Economic times and 50 read neither
(a)
62.
(b)
(c)
(d)
A bus started from bus stop P, developed engine trouble and reached bus stop Q, 40 minutes late. What is the distance between bus stops P and Q? A.
The engine trouble developed after traveling 40 kms from Bus stop P and the speed reduced to 1/4th of the original speed.
B.
The engine trouble developed after traveling 40 kms from Bus stop P in two hours and the speed reduced 1/4th of the original speed.
(a)
63.
64.
(b)
(c)
(d)
(c)
(d)
What is the value of prime number X? A.
X + Y is a two digit number > 50
B.
Y is a two digit number
(a)
(b)
What is the time difference Nairobi and Mumbai? A.
The departure time at Nairobi is exactly 6 p.m. local time and the arrival time at Mumbai is next day 3 am local time.
B. (a)
The flight time is 6 hours (b)
(c)
(d)
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Top Careers & You 65.
Sujata is the eldest daughter. What is the current age of her father? A.
Current age of Sujata is 25 years and current age of her sister Sangita is 20 years.
B.
Sangeeta’s current age is one third of father’s age five years before
(a)
66.
(b)
(c)
(d)
Alka has 2 sisters and 1 brother. How many sisters Sandhya have? A.
Alka and Sandhya are sisters
B.
Sandhya has one brother
(a)
67.
®
(b)
(c)
(d)
Madhav likes car X because its cost is Rs. 5 lack cheapest in C segment and Makarand likes car Y because it costs Rs. 7 lack highest in C segment. Which vehicle will be selected by Keshav? A.
Keshav is looking for a car which is average representation of C segment
B.
Keshav’s budget is around Rs. 5.5 lac
(a)
(b)
(c)
(d)
Questions 68 – 73 are based on the following graph of buyers. Buyers by age 80 % of total buyers
70 60 50 40 30 20 10 0 1995
1996
1997
1998
1999
Year 10-20 years
68.
20-40 years
40 years and above
By how many has the % number of buyers in the age 20-40 years age group has declined from year 1995 to 1999? (a) 26.6
69.
(b) 73.4
(c) 4
(d) 20
If the total number of people surveyed is 2000 in each of the five years given, the number of people who buy in the age group 10-20 years has changed from year 1995 to 1999? (a) 800
(b) 600
(c) 1200
(d) 1400
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Top Careers & You 70.
71.
®
Which of the following age groups shows a declining trend in the purchase in the given five years? (a) 10-20 years
(b) 20-40 years
(c) 40 years and above
(d) no particular trend in any group
By how many has the % number of buyers in the age of 10-20 years age group has increased from year 1997 to 1999? (a) 13.6
72.
73.
(b) 15
(c) 16.7
(d) 10
Which of the age group show no particular trend? (a) 10-20 years
(b) 20-40 years
(c) 40 years and above
(d) no particular age group
The regain strategy should focus on which age group? (a) 10-20 years
(b) 20-40 years
(c) 40 years and above
(d) no particular age group
Directions for questions 74 to 81 are based on the data given in the following table. There are eight major locations in a zoo at Mysore. A survey was conducted to find out the movement of the people within the zoo. Following results were obtained.
To A FROM
74.
76.
C
D
E
F
G
H
48
46
86
24
4
68
64
64
152
64
90
108
86
88
86
46
130
130
42
82
20
4
26
46
22
120
60
B
20
C
28
108
D
54
92
66
E
70
48
50
110
F
24
74
92
68
112
G
28
32
134
152
6
86
H
50
70
90
108
68
110
26 86
The least number of people go to which location? (a) G
75.
A
B
(b) D
(c) B
(d) A
What is the total number of people visiting the zoo? (a) 3868
(b) 5000
(c) 4000
(d) can not be determined
What percentage of total visiting E comes from D? (a) 10
(b) 20
(c) 40
(d) 30
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Top Careers & You 77.
What is the difference between the number of people going from B to F and G and D to F and G? (a) 48
78.
(b) 96
80.
(c) 72
(d) 84
The least number of people leave from which place? (a) H
79.
®
(b) G
(c) A
(d) E
The number of people leaving F for C is ________ the number of people leaving C to F. (a) greater than
(b) less than
(c) equal to
(d) can not say with certainty
The number of people going to A from B and C is equal to the number of people going to ______from______ and ______ (a) E, A and C
81.
(b) E, D and C
(c) F, A and C
(d) H, E and G
The highest number of people leave from which place? (a) C
(b) D
(c) H
(d) F
Direction for questions 82 – 87 are based on the following graph.
Spending by advertisers and viewers
% Expenses
25 20 15
22
20
19
17
22
10 5 0
1
2
3
4
5
Year
Total for all five years Rs. 100 crores
82.
If in year 3 out of money spent by the advertisers and viewers 12% had been spent on contingent expenses, what was the amount spent on contingent expenses (Rs. crore)? (a) 2.4
83.
(b) 2.1
(c) 2.5
(d) 2.6
The expenses of which year added to one fourth the expenses of another year equal the expenses of each of two other years? (a) 4
84.
(b) 3
(c) 2
(d) 1
In how many years from year 2 has the expenditure risen by the around 15%? (a) 1
(b) 3
(c) 2
(d) insufficient data
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Top Careers & You 85.
®
The difference in the expenditure between which two years equals the difference between the expenditure in year 2 to year 1?
86.
(a) year 5 and year 3
(b) year 4 and year 3
(c) both (a) and (b)
(d) neither (a) and (b)
If in year 6 the expenses increase at the same rate as they did from Year 3 to year 5. What will be the expenditure in year 6 (Rs. crore)? (a) 28.2
87.
(b) 24.2
(c) 25.2
(d) 23.2
If in year 4 out of the money spent by the advertisers and viewers, 10% spent on disaster recovery expenses, what was the amount spent on disaster recovery expenses? (a) 2.2
(b) 2.6
(c) 2.3
(d) 2.4
Directions for questions 88 to 95 are based on following table. The XYZ manufacturing company produces a product which has a 6 month demand cycle as below.
Month
Demand in Units
Working days/month
January
300
22
February
500
19
March
400
21
April
100
21
May
200
22
June
300
20
If company’s policy is to retain safety stock of 20% of monthly demand and each months safely stock becomes the opening stock for the next month, and opening stock for January is 50 units. Each unit requires 10 labour hours and company works 8 hours/day.
88.
What is the opening stock for June month? (a) 20
89.
(d) 100
(b) 310
(c) 380
(d) 320
(c) January
(d) June
(c) January
(d) May
In which month production requirement is highest? (a) February
91.
(c) 60
What is production requirement for March? (a) 220
90.
(b) 40
(b) March
In which month opening stock is lowest? (a) February
(b) March
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Top Careers & You 92.
®
If there are currently 20 workers are employed, and how many workers need to be laid off in January to accommodate demand? (a) 6
93.
(b) 2
(c) 3
(d) 5
If there are currently 20 workers are employed, and number of workers need to be laid off in January (in previous question) to accommodate demand. How many workers need to be hired in February month? (a) 18
94.
(c) 14
(d) 22
If constant workforce of 20 is retained, how many hours workers sit idle in January month? (a) 300 hrs.
95.
(b) 16
(b) 420 hrs.
(c) 240 hrs.
(d) 200 hrs
If constant workforce of 20 retained, how many hours workers do overtime in February month (a) 2000 hrs.
(b) 3000 hrs.
(c) 2360 hrs.
(d) 3360 hrs.
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SNAP – 2004 Solutions Section – 2 26.
Required number of ways = 36 – 3 x 26 – 3 = 534
27.
r = 11
Answer: (a)
1 1 2 1 3 1 2 3 4 1 5 ( , , , , , , , , , , ) 2 3 3 4 4 5 5 5 5 6 6
10
n ∑ n . Pn + 1 = 11 ! = r !
Hence, Answer: (a)
n=1
28.
Number of relations from set A to B = 2n(A)n(B) So, 2n(A)n(B) = 1024 = 210
⇒ n(A)n(B) = 10
Answer: (a)
Alternative Go with options as n(B) > 1 and n(A) > 1. So options b, c, d are cancelled. Answer: (a) 29.
We have to select two stations for a ticket out of 10 stations. Number of ways = 10C2 =
10! 2! × 8!
But tickets can be purchased in both ways A to B and B to A. 10! 10! × 2! = 2! × 8! 8!
Total tickets = 30.
Answer: (c)
Number of ways of arranging any two consonant on corners = 5P2 = 20
Number of ways of arranging other alphabets = 7!/2! = 2520. Total arrangements = 20 × 2520 = 50400. 1 1 1 1 + − + )=9 1! 2 ! 3 ! 4 !
31.
U4 = 4! (1 –
32.
Go by options,
Answer: (d)
Answer: (a)
for r = 3, required number of ways = 10 ×10 × 10 – 9 × 9 × 9 = 271 33.
Number of ways of arranging digits other than 5 =
Answer: (c)
6! . 2!
1–2–3–4–5–6–7 Now, three, 5’s can be arranged in 7 positions in 7C3 × 7
Total ways =
C 3 × 6! 2!
3! 7 = C3 ways. 3!
Answer: (c)
34.
Answer: (b)
35.
There should be at least two letters in wrong envelope. So, probability that exactly nine letters were inserted in the proper envelope = 0
36.
Answer: (d)
Let the number of questions answered correctly be x. Number of questions answered incorrectly = 26 – x
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By given condition 8x – (26 – x) 5 = 0 13x = 26 × 5 x = 10 i.e. 10 correct questions. Answer: (a) 37.
Let n = 5, i.e. A, B, C, D and E. 1st match → A Vs B
winner B
match → B Vs C
winner B
3 match → B Vs D
winner D
4 match → D Vs E
winner D
nd
2
rd th
So after four matches a winner will be declared. Hence, number of matches to be played for n players = n – 1.
Answer: (b)
38.
Answer: (c)
39.
Answer: (d)
40.
Answer: (b)
41.
Answer: (c)
42.
Answer: (b)
43.
Answer: (a)
44.
Let first year = a, difference = d = 7. Sum = 13,524, n = 7. We know Sn = 13524 =
n [2a + (n – 1)d] 2
7 (2 × a + 6 × 7) 2
Solving we have a = 1911 45.
Answer: (c)
This is logical question and totally based on logic. If it will not rain in the morning, it is not necessary that it will rain in the afternoon. So both morning and afternoon can be clear on a particular day. With this we have following possible table.
Day
Afternoon
Morning
1
Rain
Clear
2
Rain
Clear
3
Rain
Clear
4
Rain
Clear
5
Rain
Clear
6
Clear
Rain
7
Clear
Rain
8
Clear
Rain
9
Clear
Rain
10
Clear
Clear
11
Clear
Clear
So, it rained on nine days and six afternoons and seventh morning clear in total 11 days.
Answer: (d)
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Top Careers & You 46.
Answer: (c)
47.
1 × 20 = 6 4
…………(1)
1 × 10 = x 5
…………(2)
®
Dividing both we get 20 / 4 6 = 10 / 5 x 48.
⇒x=2
2 5
Answer: (c)
Put the value of x, y in the equation and find the solution. Answer: (d)
Alternate solution: See the unit digit of left hand side for all the options. For x = 3, y = 5,
Unit digit = 7 × 3 – 5 × 4 = 1 – 0 = 1
For x = 107, y = 192
Unit digit = 7 × 7 – 4 ×2 = 9 – 8 = 1
For x = 211, y = 379
Unit digit = 7 × 1 – 4 × 9 = 7 – 6 = 1
For x = 314, y = 565
Unit digit = 7 × 4 – 5 × 4 = 8 – 6 = 2
Hence, option (d) does not satisfy it, so option (d) is correct. 49.
x=
Answer: (d)
116, 690, 151 a = (let) 427, 863, 887 b
Since a < b So option (1) not possible. b > 3a, so option (2) not possible. Check for option (c)
⇒ divide ‘a’ by 3 and multiply quotient by 11. If result is (b) then (c) is correct
option. So,
116, 690, 151 = 38, 896, 717 and 38,896,717 × 11 = 427,863,887 = b 3
Answer: (c) 50. A
V1 →
P
B d – 400
400
← V2
Let ‘d’ be the width of the river. When time is constant ratio of speed = distance travelled V1 400 = V2 d − 400
…………(1)
After reaching the opposite bank, they return and A
Q d – 700
B
700
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Now V1 d − 400 + 700 = V2 d − 700 + 400
⇒
V1 d + 300 = V2 d − 300
……….(2)
From (1) and (2) 400 d + 300 = d − 400 d − 300
Now option (2) satisfies the condition. Hence width = 1700 feet. Answer: (b) 51.
Let one sandwich costs Rs. a, one coffee Rs. b and 1 biscuit costs Rs. c then 4a + b + 10c = 1.69
………(1)
3a + b + 7c = 1.26
……..(2)
[equation (2)] × 3 – [Equation (1)] × 2, we get a + b + c = 1.26 × 3 – 1.69 × 2 = Rs. 0.40 = 40 paise. 52.
Answer: (d)
Let initial cost per person = Rs. x 10x = (10 + 5) (x – 100) 10x = 15x – 1500 x=
1500 = 300 300
Initial cost = Rs. 300 53.
Answer: (b)
Let ‘x’ quartz taken and another of same quantity added then by alligation method, Quantity →
(27 – x)
x
Initial quality →
18%
90%
Average →
42%
43%
We have
24%
48 24 = 27 − x x
⇒ 2x = 27 – x
3x = 27 54.
⇒x = 9 quartz
Answer: (a)
Let total males = 100. Having 140 pounds or more weight = 90. 85 are over 5’8” tall, let 15 not over 5’8” height have more than 140 pounds weight. So 90 – 15 = 75 have both 140 pound weight and 5’8” height. Now 75 have dark hair of 25 not dark hair. Consider these 25 are from those having 140 pound weight and 5’8” height.
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Common with all three characteristics = 75 – 25 = 50. In last, 70 have brown eyes + 30 don’t. These 30 if have other three common features then minimum having all the features = 50 – 30 = 20. So, percentage having all four features = 20%. 55.
He left at time 8 : 43
Answer: (c)
7 7 7 min and return at 2 : 43 min = 14 : 43 min 11 11 11
7⎞ 7⎞ ⎛ ⎛ Duration = travel = ⎜14 : 43 ⎟ – ⎜ 8 : 43 ⎟ min = 6 hr 11 11 ⎝ ⎠ ⎝ ⎠ Answer: (a)
Solutions 56 – 59:
56.
Price money of P = (23 + 13) 1500 + (8 + 6) 1000 = Rs. 68,000. Price money of Q = (18 + 16) 1500 + (13 + 8) 1000 = Rs. 72,000 Price money of R = (10 + 13) 1500 + (16 + 20) 1000 = Rs. 70,500 Price money of S = (16 + 14) 1500 + (13 + 17) 1000 = Rs. 75,000 Maximum difference = 75,000 – 68,000 = Rs. 7,000.
57.
Answer: (a)
Average price for Match = Total price ÷ Matches played P=
68000 = 1360 50
Q=
72000 = 1301 55
R=
70500 = 1195 59
S=
75000 = 1250 60
Lowest average money = 1195.
Answer: (c)
58.
Highest average money = 1360.
Answer: (b)
59.
Percentage of match lost =
Lost match × 100 Total match
P=
14 × 100 = 28% 50
Q=
21 × 100 < 50% 55
R=
36 × 100 > 50% 59
S=
30 × 100 = 50% 60
R lost the maximum percentage of match. Answer: (c) 60.
Using both statements A and B we can have the required answer.
61.
Answer: (d)
62.
Only statement B sufficient to answer the question. Answer: (b)
63.
No particular information about X.
64.
Duration according to local timing = 6 + 3 = 9 hrs.
Answer: (c)
Answer: (d)
Actual duration 6 hr Answer: (c) Time difference is 9 – 6 = 3 hrs. _________________________________________________________________________________________________ For free online tests, login to www.TCYonline.com Page : 15
Top Careers & You 65.
Both (A) and (B) together sufficient to answer.
66.
The family will be like according to statement A
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Answer: (c)
Alka, Sandhya, sister, brother So Sandhya has two sisters. Statement A alone sufficient. For statement B we are not having relation between Sandhya, Alka and others so not sufficient to answer. 67.
Answer: (a)
We do not know the rates of car between X and Y. So can’t say which car will Keshav select. So answer: (D)
68.
⎛ 60 − 16 ⎞ Required decline percentage = ⎜ ⎟ × 100 = 73.4%. ⎝ 60 ⎠
69.
Number of people = (70% - 30%) × 2000 =
40 × 2000 = 800. 100
70.
Direct from graph.
71.
⎛ 70 − 60 ⎞ ⎟ × 100 = 16.67%. ⎜ ⎝ 60 ⎠
72.
Direct from graph.
73.
Direct from graph.
Answer: (b)
Answer: (a)
Answer: (d) Answer: (c)
Answer: (d)
Age group of 20 – 40 years is decreasing so it requires regain strategy. 74.
Direct from graph. Answer: (d)
75.
Can’t be determined.
76.
42 = 10% Answer: (a) 402
77.
The difference will be = (90 + 108) – (82 + 20) = 96 Answer: (b)
78.
A = 48 + 46 + 86 + 24 + 4 + 68 + 64 = 340
Answer: (b)
Answer: (d)
E = 70 + 48 + 50 + 110 + 26 + 46 + 22 = 372 H = 50 + 70 + 90 + 108 + 68 + 11 + 86 = 582 G = 28 + 32 + 134 + 152 + 6 + 86 + 26 = 464
Answer: (c)
Answer: (a)
79.
C = 92 and C to F = 36
80.
Going to A from B and C = 20 + 28 = 48. This will be equal to going to H from E and G = 22 + 26 = 48.
Answer: (d) 81.
Direct from table. C → 616 D → 360 H → 582 F → 340
Answer: (a)
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Top Careers & You 82.
12% of 20 = Rs. 24 cr.
83.
From graph,
Answer: (a)
Year 1 +
1 (year 3) = year 4 or 5 4
i.e. 17 +
1 × 20 = 22 4
84.
Answer: (d)
85.
Option based.
86.
Expenditure in year 6
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Answer: (d)
Answer: (c)
22 + 10% of 22 = 24.2
{In year 5, the real of 10% w.r.t. year 3}
Answer: (b) 87.
10% of 22 = 2.2
Answer: (a) Answer: (b)
88.
20% of 200 = 40
89.
Demand + opening stock of next month – opening sock of month 400 + 20% of 400 – 20% of 500 = 380 Answer: (c)
90.
From graph. Answer: (a)
91.
From graph. Answer: (d)
92.
Production of Jan = 1.2 × 300 – 50 = 360 – 50 = 310 unit. Time required = 310 × 10 men hour = 3100 men hour.
93.
Number of men = N × 22 ×8 = 3100
⇒ N ≃ 18
So, 20 – 18 = 2 need to be laid off.
Answer: (b)
Demand = 500 + 100 – 60 = 540 Men hour time = 540 × 10 = 5400 Men required =
5400 = 36.05 ≃ 36. 19 × 8
We have 18 workers after off in January.
Answer: (a)
Men required = 36 – 18 = 18. 94.
From questions 92, 2 workers laid off out of 20 workers i.e. sit idle in January month. Total hours = 20 × 8 × 22 =
3520
Required hours = 310 × 10 = 3100 Idle hours = 3520 – 3100 = 420 95.
Answer: (b)
Total hours we have = 3040 Required hours = 5400 Overtime required = 5400 – 3040 = 2360 hrs. Answer: (c)
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