**Directions (1 – 5): In each of the following number series, a wrong number is given. Find out the wrong number.**

**1. 13, 16, 38, 124, 504, 2535**

A) 16 B) 38 C) 124 D) 504 E) 2535

**2. 6, 10, 32, 111, 464, 2345**

A) 10 B) 32 C) 111 D) 464 E) 2345

**3. 8, 18, 64, 272, 1395, 8424**

A) 18 B) 64 C) 272 D) 1395 E) 8424

**4. 80, 105, 195, 478, 1350, 3975**

A) 105 B) 195 C) 478 D) 1350 E) 3975

**5. 8, 18, 78, 420, 2424, 15270**

A) 18 B) 78 C) 420 D) 2424 E) 15270

**Directions (6 -10): What approximate value should come in place of question mark (?) in the following questions ? (Note: you are not expected to calculate the exact value.)**

**6.**

**799.99 ÷ 12.492 = ? – 323.469**

A) 380 B) 382 C) 388 D) 378 E) 372

**7.**

**(√728.68 ÷ 2.7)**

^{2 }+ 224 = (18)^{?}
A) 2 B) – 2 C) 4 D) –
5 E) - 4

**8.**

**(4429 ÷ 44.3) × 18.75 – 289.59 = ?**

A) 1485 B) 1585 C) 1425 D) 1685 E) 1365

**9.**

**(1 / 8) of 2768 + 2835.42 = ? - 297**

A) 3528 B) 3478 C) 3472 D) 3078 E) 3178

**10.**

**238.49 + 69 % of 791.213 = (?)**

^{2}
A) 27 B) 28 C) 30 D) 31 E) 29

**Directions (11 – 15): What Value should come in place of question mark (?) in the following questions?**

**11.**

**(3 / 5) of (2 / 7) of (35 / 18) of ? = 405**

A) 1375 B) 1275 C) 1285 D) 1215 E) 1325

**12.**

**24 % of 6550 – 175 % of ? = 697**

A) 500 B) 475 C) 675 D) 825 E) 975

**13.**

**(1/7) of 254 of (1/8) = ? ÷ 21**

A) 96(1 / 4) B) 95(1 / 7) C) 98(2 /
7) D) 96 (3 / 7) E) 95(1 / 4)

**14.**

**(2892 ÷12) × 13 = ? % of 2410**

A) 241 B) 342 C) 230 D) 130 E) 150

**15.**

**[(√(81 × 64) / (4.5)] × 18 = (?)**

^{2}- 153
A) 21 B) 23 C) 17 D) 19 E) 22

**16. The circumference of a semicircle of area 2772 sq cm is equal to the breadth of a rectangle. If the length of the rectangle is equal to the perimeter of a square of side 58 cm. What is the area of rectangle?**

A) 51112 sq cm B) 50012 sq cm C)
50112 sq cm D) 51222 sq cm E) 50002 sq cm

**17. A reduction of 25% in the price of wheat enables a purchaser to obtain 9 kg more for Rs.180. Find the original price per kg of wheat.**

A) Rs.6.67 per kg B) Rs.5.27 per kg C)
Rs.6 per kg D) Rs.5 per kg E) Rs.7.25 per kg

**18. Three numbers are in the ratio 2 : 3 : 4. Their average is 1800. If first number is increased by 10% and second number is decreased by 20%, then to get the average increased by 8%. Third number will be increased by.**

A) 20 % B) 22 % C) 26 % D) 28 % E) 24
%

**19. A certain scheme of investment in simple interest declares that it triples the investment in 8 years. If you want to quadruple your money through that scheme, you have to invest it for how many years?**

A) 10 years B) 11 years C) 16 years D)
14 years E) 12 years

**20. Work done by P in one day is half of the work done by Q in one day. Work done by Q in one day is half of the work done by R in one day. If R alone completes the work in 6 days, in how many days can P, Q and R together complete the work?**

A) 3 3/7 days B) 3 2/7 days C) 3 1/7
days D) 3 days E) 4 2/7 days

**21. How many number between 400 and 900 can be made with the digits 2, 3, 4, 5, 6 and 7?**

A) 80 B) 65 C) 75 D) 85 E) 90

**22. A card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is neither a diamond nor a king?**

A) 6/13 B) 9/13 C) 8/13 D) 9/17 E)
7/13

**23. There are 6 males and 5 females. They sit in a row randomly. What is the chance that all females do not sit together?**

A) 61/63 B) 63/67 C) 61/67 D) 65/66
E) 57/67

**24. The ratio of Atul's and Bunty's ages is 5 : 6. If the difference between the present age of Bunty and the age of Atul 6 years hence is 8, then what is total of present ages of Atul and Bunty?**

A) 149 years B) 152 years C) 154
years D) 147 years E) 156 years

**25. A person buys 5 calculators and 8 books for Rs.800. He sells the calculators at a profit of 15% and books at a profit of 20% and whole gain is Rs.150. What price does he pay for a calculator and a book?**

A) Rs.60, Rs.85 B) Rs.40, Rs.65 C) Rs.40,
Rs.75 D) Rs.70, Rs.95 E) Rs.50, Rs.65

**Directions (26 – 30): Study the following pie–chart carefully to answer these questions.**

**The following pie–chart represents the break–up of Sunita's monthly expenses**

**26. If Sunita spent Rs.4500 more on Food and Transport together than on rent, then find her monthly expense?**

A) Rs.20000 B) Rs.15000 C) Rs.30000 D)
Rs.40000 E) Rs.35000

**27. After change in income, Sunita increased her savings which is currently 10% of her income by 20% and reduced her expenses by 20%, then her savings would be what per cent of her expenses?**

A) 15% B) 25% C) 30% D) 10% E) None
of these

**28. Sunita spent 20% of her expenditure on 'Others' on entertainment. This amounted to Rs.2100. Find her expenditure on Education?**

A) Rs.4500 B) Rs.6000 C) Rs.7000 D) Rs.6500
E) Rs.5000

**29. Find the angle made by the expenditure on Rent and Others put together ?**

A) 150

^{o}B) 160^{o}C) 180^{o}D) 200^{o}E) None of these**30. As prices dropped, Sunita's expenditure on ‘Clothes’ dropped by 10%. As a result of this, her expenditure on ‘Others’ decreased from Rs.10500 to Rs.10290. What percentage of her expenditure on ‘Others’ was spent on ‘Clothes’?**

A) 12% B) 30% C) 16% D) 20% E) None
of these

**Directions (31 – 35): In the following questions two equations number I and II are given. You have to solve both the equations and given answer—**

**A) x > y B) x < y C) x ≥ y D) x ≤ y E) x = y or relation cannot be established**

**31.**I. 2x

^{2}– 15√3x + 84 = 0 II. 3y

^{2}– 10√3y + 9 = 0

**32.**I. x

^{2}+ √5x – 10 = 0 II. 2y

^{2}+ 9√5y + 50 = 0

**33.**I. 2x

^{2}– (8+√3)x + 4√3 = 0 II. 3y

^{2}– (6+2√3)y + 4√3 = 0

**34.**I. x

^{2}– (2+√5)x + 2√5 = 0 II. 2y

^{2}– (6+3√5)y + 9√5 = 0

**35.**I. 3x

^{2}+ 5√2x – 24 = 0 II. y

^{2}– 6√2y + 16 = 0

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