Time 25 min
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Directions (1-5): What will come in place of the question mark (?) in the following questions?
Q1. 4003 × 77 - 21015 = ? × 116
(a) 2477
(b) 2478
(c) 2467
(d) 2476
(e) None of these
Q2. (4444 ÷ 40) + (645 ÷ 25) + (3991 ÷ 26) = ?
(a) 280.4
(b) 290.4
(c) 295.4
(d) 285.4
(e) None of these
Q3. 200/40 × 208/52 × 196/7 = ?
(a) 562
(b) 560
(c) 565
(d) 570
(e) None of these
Q4. 5/8 of 40 + 7/10 of 3410 = ?
(a) 2412
(b) 2124
(c) 2422
(d) 2452
(e) 2850
Q5. 335.01 × 244.99 ÷ 55 = ?
(a) 1490
(b) 1550
(c) 1420
(d) 1590
(e) 1400
Directions (6-10): What should come in place of the question mark (?) in the following number series?
Q6. 15 25 40 130 ?
(a) 500
(b) 520
(c) 490
(d) 480
(e) None of these
Q7. 186 94 48 25 ?
(a) 13.5
(b) 14.8
(c) 12.5
(d) 14
(e) None of these
Q8.15528 3880 968 240 ?
(a) 60
(b) 58
(c) 59
(d) 62
(e) None of these
Q9. 384 381 372 345 264 ?
(a) 23
(b) 25
(c) 43
(d) 24
(e) None of these
Q10. 282 286 302 ? 402
(a) 366
(b) 318
(c) 326
(d) 338
(e) None of these
Directions (Q. 11-15): In each question two equations numbered I and II are given. You have to solve both the equations and mark the answer
a) If x > y
b) If x ≥ y
c) If x < y
d) If x ≤ y
e) If x = y or no relation can be established between x and y.
11). I. 4x² – 15x + 14 = 0
II. 6y² – 10y + 4 = 0
12). I. 3x² + 10x + 3 = 0
II. 2y² + 15y + 27 = 0
13). I. 7x² + 12x + 5 = 0
II. 3y² + 7y + 2 = 0
14). I. 16x² – 14x + 3 = 0
II. 6y² – 19y + 15 = 0
15). I. x² + 11x + 18 = 0
II. y² - √81 = 0
16. Armaan sold his laptop at a loss of 8%. If he had been able to sell it at a gain of 12%, he would have fetched Rs 12000 more than it did. What was the cost price of laptop?
1) Rs 48,000 2) Rs 56,000 3) Rs 60,000
4) Rs 64,000 5) Rs 72,000
17. A certain number of women can do a work in 50 days. If there were 20 women more it could have been finished in 5 days less. How many women are there?
1) 120 2) 140 3) 160
4) 180 5) 200
18. Five alarms start to ring together and ring at the intervals of 3, 4, 6, 11 and 12 seconds respectively. How many times will they ring together in one hour, excluding the one at the start?
1) 24 times 2) 25 times 3) 26 times
4) 27 times 5) 28 times
19. What is the number which, when added to the terms of the ratio 19 : 31 makes the new ratio 9 : 13?
1) 4 2) 9 3) 8
4) 7 5) None of these
20. A person sells one house for Rs 75 lakhs, making a profits of 25%. He sells another house at a loss of 20%, and on the whole he makes neither profit nor loss. What is the cost of the second house.
1) 50 lakhs 2) 60 lakhs 3) 75 lakhs
4) 90 lakhs 5) None of these
21. Ravi and Raj invested in the ratio of 4 : 3 in a business. If 16% of the total profit goes to charity and Ravi’s share of profit is Rs 816, what is the amount of total profit?
1) Rs 1200 2) Rs 1400 3) Rs 1500
4) Rs 1700 5) None of these
22. The average of the first and second of three numbers is 12 more than the average of thesecond and the third of these numbers. What is the difference between the first and the third of these three numbers?
1) 6 2) 12 3) 24 4) 36 5) 18
23. A person completes journey by using three different type of vehicles. He completes first part with speed of 10 kmph, second part at the speed of 12 kmph and third part at the speed of 15 kmph. If the distance travelled by each vehicle is equal then what is the average speed of that person throughout the journey?
1) 12 kmph 2) 12.5 kmph
3) 13 kmph 4) 13.5 kmph
5) None of these
24. If the ratio of the ages of A and B at present is 7 : 4. After 12 years the ratio of their ages will be 10 : 7, what is the present age of B?
1) 12 years 2) 14 years 3) 16 years
4) 18 years 5) 20 years
25. If a shopkeeper sells 1/3 rd of total stock of sugar at a profit of 15%, half of total stock at a profit of 8% and remaining part at a profit of 12%. If the total profit he gains is Rs 605 then what was the original value of the commodity?
1) Rs 5400 2) Rs 5500 3) Rs 5600
4) Rs 5750 5) None of these
26. In what time will a sum of money will become 5 times its value if simple interest is 16% per annum?
1) 12 years 2) 16 years 3) 20 years
4) 25 years 5) 32 years
27. An amount of money grows up to Rs 3840 in 2 years and up to Rs 4800 in 3 years on compound interest. What is the amount?
1) Rs 2420 2) Rs 2457.6 3) Rs 2650.5
4) Rs 2800 5) None of these
28. The respective ratio between the present ages of Yogesh, Vinod & Kamal is 3 : 4 : 5. If the average of their present ages if 28 years then what would be the sum of the ages of Yogesh and Vinod together after 5 years?
(1) 45 years (2) 55 years (3) 52 years
(4) 59 years (5) None of these
29. Sum of area of a circle and a rectangle is equal to 1166 sq.cm. The diameter of the circle is 28 cm. What is the sum of the circumference of the circle and the perimeter of the rectangle if the length of the rectangle is 25 cm?
(1) 186 cm (2) 182 cm (3) 184 cm
(4) Cannot be determined (5) None of these
30. A 320 metre long Metro moving with an average speed of 120 km/hr crosses a platform in 24 seconds. A woman crosses the same platform in 4 minutes. What is the speed of wo man in metre/second?
(1) 2.4 (2) 1.5 (3) 1.6
(4) 2.0 (5) None Of These
Direction ( 31-35): Study the following graph carefully to answer these questions:
Populations of two States (in millions) over the years
Populations of two States (in millions) over the years
Q31) What was the average population of state B (in millions) for all the years together?
a)38.5
b)28.5
c)35
d)26
e)37.5
Q32) For state B the per cent rise in population from the previous year was the highest in which of the following years?
a)2004
b)2006
c)2005
d)2007
e)2008
Q33) What is the per cent rise in population of state A in 2007 from the previous year?
a)25
b)33.33
c)33
d)25
e)35
Q34) What is the ratio between the total population of states A and B respectively for all the years together?
a)37:43
b43:37
c)37:45
d)45:37
e)None of These
Q35) Population of state A in 2005 is what per cent of its total population for all the years together?
a)17
a)18
c)16
d)600/37
e) 600/39
1. Ans.(d)
? × 116 = 4003 × 77 - 21015
Or, ? × 116 = 308231 - 21015 = 287216
Or, ? × 116 = 287216
∴ ? =287216/116=2476
2. Ans.(b)
= (4444 ÷ 40) + (645 ÷ 25) + (3991 ÷ 26)
=4440/40+645/25+3991/26
= 111.1 + 25.8 + 153.5 = 290.4
3. Ans. (b)
4. Ans. (a)
5. Ans.(a)
? = 335.01 × 244.99 ÷ 55
= 335 × 245 ÷ 55
=335×245/55=82075/55=1492.27 ≈1490
6. Ans.(e)
The series is ×1 + 10, ×2 - 10, ×3 + 10, ×4 - 10, ×5 + 10
130 × 4 - 10 = 520 - 10 = 510
7. Ans.(a)
The series is ÷2 + 1.
25/2+1=13.5
8. Ans.(b)
The series is ÷4 - 2.
9. Ans.(e)
The series is -3, -9, -27, -81, -243
264 - 243 = 21
10. Ans . (d)
The series is + 2², + 4², + 6², .....
11). I. 4x² – 15x + 14 = 0
x = (-8/7), (-7/4)
x = 2, 1.75
II. 6y² – 10y + 4 = 0
y = (-6/6), (-4/6)
y = 1, 2/3
Hence, x > y
Answer: a)
12). I. 3x² + 10x + 3 = 0
x = (9/3), (1/3)
x = -3, -1/3
II. 2y² + 15y + 27 = 0
y = (9/2), (6/2)
y = -4.5, -3
Hence, x ≥ y
Answer: b)
13). I. 7x² + 12x + 5 = 0
x = (7/7), (5/7)
x = -1, -5/7
II. 3y² + 7y + 2 = 0
y = (6/3), (1/3)
y = -2, -1/3
Thus relationship can’t be established.
Answer: e)
14). I. 16x² – 14x + 3 = 0
x = (-8/16), (-6/16)
x = 1/2, 3/8
II. 6y² – 19y + 15 = 0
y = (-10/9), (-9/6)
y = 5/3, 3/2
Hence x < y.
Answer: c)
15). I. x² + 11x + 18 = 0
x = (9/1), (2/1)
x = -9, -2
II. y² - √81 = 0
y² = √81
y² = 9
y = ±3
Hence, no relation can be established.
Answer: e)
16. (C)
17. (D)
18. (D)
19. (C)
20. (C)
21. (D)
22. (C)
23. (A)
24. (C)
25. (B)
26. (D)
27. (B)
28. (D)
29. (B)
30. (D)
31. (E)
32. (A)
33. (B)
34. (C)
35. (D)
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