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Directions (1-5): What should come in the place of question mark in the following questions?
10) One year ago, the ratio between A’s and B’s salary was 4:5. The ratio of their individual salaries of last year and present year are 3:5 and 2:3 respectively. If their total salary in the present year is Rs 6800, the present salary of A is
Directions (11-15) in each of these questions, two statements are given. You have to solve both the equations and give answer
II.14y2 + 87y + 40 = 0
16) Average age of A, B and C is 90 yrs, however when D joins them, then the average comes to 80 yrs. Now a new person E, whose age is six-fifth of the age of D, replaces A and the new average is 78. What is age of A?
17) P, Q & R are three partners start a business. Thrice P’s capital is equal to four times Q’s capital and Q’s capital is 6 times R’s capital. Out of a total profit Rs.35860 at the end of the year, Q’s share is
18) Two Buses start from a place with a speed of 50 kmph at an interval of 12 minutes. What is the speed of a car coming from the opposite direction towards the place if the car meets the Buses at an interval of 10 minutes?
19) In how many different ways can the letters of the word ‘DILUTE’ be arranged such that the vowels may appear in the even places?
20) For a 1800 km journey of 24 hrs, if 360km is done by van and the rest by train. It takes 60 mins more, if 600km is done by van and the rest by train. The ratio of the speed of the van to that of the train is.
Directions (21-25): The table given below shows the monthly salary of six employees working in a leading manufacturing firm.
| Years→ Employees↓ | 2001 | 2002 | 2003 | 2004 | 2005 | 2006 |
| Deepi | 19200 | 20500 | 23400 | 25000 | 26600 | 28200 |
| Shalu | 28500 | 30100 | 31800 | 33000 | 34900 | 36000 |
| Sharmi | 22600 | 24000 | 26400 | 28100 | 29800 | 31000 |
| Aathi | 23000 | 24500 | 26100 | 27000 | 29300 | 31200 |
| Ananth | 24800 | 26000 | 27900 | 29100 | 30800 | 33000 |
| Rishi | 31500 | 35800 | 36600 | 40200 | 44000 | 45800 |
21) What is the difference between average monthly income of Aathi all over the years and monthly income of Rishi in 2005?
22) Monthly salary of Sharmi in 2006 contributes what percent in total monthly salary of Deepi, Shalu and Ananth together in 2006? (Approximately)
23) Find the ratio of annual salary of Aathi in 2002 and Rishi in 2004 together to that of Shalu in 2003 and Deepi in 2001 together?
24) Monthly salary of Shalu and Ananth together in 2003 is by what percent more or less than that of Aathi and Rishi together in 2005? (approximately)
25) In 2005, Rishi donated 5% of his monthly salary, he then lent out 20% of remaining salary on CI at 5% for 3 years. Find the interest (approx.) earned by him after 3 years?
Directions (Q. 26 – 30): Study the graph carefully to answer the questions that follow:
Income (in lakh Rs.) of three companies over the years:
Directions (31-35): What will come in place of question-mark (?) in the following series?
31) 2, 2, 12, 36, 104, ?
32) 17, 23, 34, 50, 71, ?
33) 3645, 1215, 405, 135, ? , 15, 5
34) 32, ?, 1024, 2048, 2048
35) 17, 98, 26,?, 35, 80
a. 79
b. 69
c. 89
d. 59
e. 49
Direction (1-5)
1. Answer: a
17/19*76/51=4/3
4/3*18/16=3/2=1.5
2. Answer: c
3/25*14/17÷21/34= (?)2
(?)2=4/25
X=2/5=0.4
3. Answer: a
By adding altogether we get 632.605
4. Answer: d
(7921÷ 178)-5.5=√x
44.5-5.5=√x
√x=39, x=1521
5. Answer: a
212*42-128*33=?
= 8904 – 4224
= 4680
6. Answer: d
Let wine and water in jar is 4x and x
(4x-10*4/5)/(x-10*1/5+10) = 2/3
4x-8/X+8 = 2/3
12X – 24 = 2X+16
10X=40
X=4
Initially wine in jar = 4*4=16 lit
7. Answer: d
Taking 3 particular persons as single entity,
We have 12-3+1 = 10 persons to be seated.
No. of ways of seating these 10 persons
= (10-1)!*3! = 9!*3!
Total no. of ways of seating 12 persons
= (12-1)! =11!
Required probability = 9!*3! /11! = 3*2/11*10=3/55
8. Answer: b
9. Answer: b
Assume 10 boys as B1, B2,…… B10
B1 is fixed; other 9 boys can form a ring.
Therefore 9! = 362880
10. Answer: b
Given, the Ratio of A’s last year and present year salary = 3:5.
Let salary be 3x and 5x respectively.
Also, the Ratio of B’s in last year and present year salary = 2:3
Let salary be 2y and 3y respectively.
Given, 3x/2y=4/5.
=>15x=8y. ————— (i)
Also, 5x+3y=6800. ————— (ii)
From equation (i) and (ii), we get:-
y=1200 and x=640.
Hence, A’s present salary is 5x=5×640=3200.
Direction (11-15)
11. Answer: e
I. 63x2 + 95x + 22 = 0
63x2 + 77x + 18x+ 22 = 0
7x (9x+11) + 2(9x+11) = 0
(7x+2)(9x+11)
X= -2/7, -11/9
II.14y2 + 87y + 40 = 0
14y2 + 80y + 7y + 40 = 0
2y (7y + 40) + 1 (7y+40) = 0
(2y+1)(7y+40)
Y= -1/2 , -40/7
Relationship cannot be established
12. Answer: c
14x2 + 11x -15 = 0
14x2 + 21x -10x – 15 = 0
7x (2x+3)-5 (2x+3) = 0
(7x-5)(2x+3)
X=-3/2, 5/7
20y2 – 31y +12 = 0
20y2 – 15y -16y +12 = 0
5y(4y-3)-4 (4y-3) = 0
(5y-4)(4y-3)
Y=4/5, 3/4
X< y
13. Answer: e
2x2 + 7x +6 = 0
2x2 + 4x+ 3x+ 6 = 0
2x(x+2) +3 (x+2) =0
X= -2, -3/2
5y2 + 10y – 15 = 0
5y2 + 15y – 5y-15 = 0
5y(y+3)-5(y+3) = 0
Y= 1, -3
No relation between x and y
14. Answer: c
X= ±32
Y= 1086
X < y
15. Answer: a
X= √5 – √3
X=0.5
Y=√7-√5
Y=0.4
So x>y
16. Answer: b
According to the question
(A+B+C)/3=90
=> A+B+C =270…………..(1)
(A+B+C +D)/4=80
=> A+B+C +D=320………(2)
From the equation 1 and 2
D=50
E =6/5×50=60
(E+B+C +D)/4=78
=> E+B+C +D =312
B+C +D =312-60=252……………..(3)
From equation 2 and 3
The age of A=320-252=68
17. Answer: b
Let R = c
Q = 6c
P = 24c/3 = 8c
P : Q : R= 8c:6c:c = 8: 6: 1
So Q’s capital = Rs. 35860 * 6/15
= Rs.14344
18. Answer: b
50*12/60 = 10/60 * (50+x)
600 = 500 + 10x
x = 10 kmph
19 Answer: a
There are 3 consonants and 3 vowels in the word DILUTE.
Out of 6 places, 3 places odd and 3 places are even.
3 vowels can arranged in 3 even places in 3p3 ways = 3! = 6 ways.
And then 3 consonants can be arranged in the remaining 3 places in 3p3 ways = 3! = 6 ways.
Hence, the required number of ways = 6 x 6 = 36.
20. Answer: c
Let the speed of the van be x km/hr
And that of the train be y km/hr
360/x+1440/y = 24 —————>A
Dividing by 24 on both sides
15/x+60/y = 1 ———à1
And 600/x +1200/y =25
Dividing by 25 on both sides
24/x+48/y = 1 ———–à2
Multiply 1 by 24, 360/x +1440/y = 24
Multiply 2 by 15 360/x+720/y = 15
Subtract the above equation
720/y =9
Y=80
Put y value in A
360/x = 24-18
X=360/6
X=60
Ratio of speeds = 60:80 = 3:4
Direction (21-25)
21. Answer: d
Average monthly income of Aathi
= (23000+24500+26100+27000+29300+31200)/6
= 1/6×161100= 26850
∴Required difference = 44000 – 26850 = Rs. 17150
22. Answer: b
Required percentage
= 31000/(28200+36000+33000) *100
= 31000/97200×100≈32%
23. Answer: e
Required ratio = (24500+40200)×12 / (31800+19200)×12
= 64700*12: 51000*12
=647/510
24. Answer: c
Monthly salary of Shalu and Ananth = 31800 + 27900 = 59700
Monthly salary of Aathi and Rishi = 29300 + 44000 = 73300
∴Required percentage = 13600/73300×100≈19% less.
25. Answer: b
20% of amount left after donation = 20/100×95/100×44000
= Rs. 8360
C.I. after 3 years = 8360[(1+ 5/100)3-1]
= 8360 × 0.1576
≈ Rs. 1318
Direction (26-30)
26. Answer b
Required % = ([135/6]/[200/6]) x 100 = 67.5%
27. Answer a
Let the expenditure was x lakhs
So, 50 = 30-x/x * 100
x = 20 lakhs
28. Answer a
Income of Company A in the year 2006, 2008 and 2010
= > (30+40+15) = 85 lakhs
Income of company B in the year 2005, 2007 and 2009
= > (20+35+55) = 110 lakhs
Required % = ((110-85)/110)*100 = 22 8/11 % less = 23 %
29. Answer c
Required % = (50-45)/45 x 100 = 11.11% ≈ 11%
30. Answer d
Required % profit = (35-15)/15 x 100 = 133.33%
Direction (31-35)
31. Answer: c
2 + 1³ – 1 = 2
2 + 2³ + 2 = 12
12 + 3³ – 3 = 36
36 + 4³ + 4 = 104
104+53-5 = 224
32. Answer: b
The difference of the following series is
+6, +11, +16, +21, +26
33. Answer: b
The pattern of the following series is /3, /3, /3, /3..
34. Answer: b
32 * 8 = 256
256 * 4 = 1024
1024 * 2 = 2048
35. Answer: c
The alternative difference of the following series is 9, 9, 9…
26 -17 = 9;
35 – 26 = 9
98 – 9 = 89
This post was last modified on August 26, 2020 12:49 pm