**1. An auto-manufacturing company has three machines producing the same auto part. If machine A produces 1/6th as many of the item as machine B produces in the same time and machine B produces twice as many of the item as machine C in the same time, then during a fixed period machine C produces what fraction of the total number of items produced?**

a) 2/15

b) 3/10

c) 7/17

d) 7/15

**2. If the sum of three numbers is 272 and the ratio between first and second be 2: 3 and that between second and third is 5: 3, then the second number is**

a) 130

b) 140

c) 150

d) 120

e) None of these

**3.**

**I.** The value will is equal to zero.

**II.** The value will be a negative integer.

**III.** The value between -1 and 1.

**Which will of the following will be definitely true?**

a) Only II

b) Only I and II

c) Only III

d) None of the above

e) Can’t be determined

**4. A started a business investing Rs. 50,000 in 2011. In 2012, he invested an additional amount of Rs. 20,000 and B joined him with an amount of Rs. 70,000. In 2013, B invested another additional amount of Rs. 20,000 and C joined them with an amount of Rs. 70,000. What will be A’s share in the profit of Rs. 2, 10,000 earned at the end of 3 years from the start of the business in 2011?**

a) Rs. 1,00,000

b) Rs. 95,000

c) Rs. 1,20,000

d) Rs. 1,80,000

e) None of these

**5. In Civil services examination, 8% candidates got selected from Northern region of the total appeared candidates. Southern region had an equal number of candidates appeared and 10% candidates got selected with 120 more candidates got selected than northern region. What was the number of candidates appeared from each region?**

a) 7800

b) 6400

c) 8000

d) 6000

e) None of these

**6. In a college reunion, friends of the same sex to hug and for friends of opposite sex to shake hands when they meet. During the reunion there were 24 handshakes. Which one among the following numbers indicates the possible number of hugs?**

a) 39

b) 30

c) 21

d) 20

e) None of these

**7. Two adjacent sides of a parallelogram measure 5 cm and 3.5 cm. One of its diagonals measures 6.5 cm. The area of the parallelogram is**

**8. The area of quadrilateral ABCD in which diagonal AC = 15 cm and lengths of perpendiculars from B and D on AC are 3 cm and 5 cm is**

a) 54 cm^{2}

b) 56 cm^{2}

c) 58 cm^{2}

d) 60 cm^{2}

e) None of these

**9. The ratio of urban literate employed to the urban illiterate unemployed is?**

a) 1: 9

b) 36: 5

c) 5: 36

d) 3: 1

e) None of these

**10. The no. of urban literate employed is what times of rural literate employed?**

a) 4

b) 3

c) 1.25

d) 2.00

e) none of these

Question | Answer |

1. | b |

2. | d |

3. | a |

4. | b |

5. | d |

6. | c |

7. | c |

8. | d |

9. | b |

10. | a |

**Explanation: 1.** Assuming, Machine A produces 100 units in a certain time period.

Machine B would produce 6 times of X or 600 units.

Machine C would produce half of that = 300 units

The three machines together would produce 1000 units, of which 300 are produced by machine C.

Required Fraction = 300/1000= 3/10

**Explanation: 2.**

**Explanation: 3.**

**Explanation: 4.** Ratio of A, B and C.

A: B: C = (50000 X 12 + 70000 X 12 + 70000 X 12) : (70000 X 12 + 90000 ×12) : (70000 X 12)

= 2280000: 1920000: 840000 =19: 16: 7

A’s share = Rs. (2, 10,000 × 19/42) = Rs. 95,000

**Explanation: 5.** Both the states have an equal number of candidates appeared then difference = (10% – 8%) = 120

1% = 60 and 100% (total number of candidates appeared) = 6000

**Explanation: 6.** Let x be no. of women and y be no. of men.

Then no. of handshakes = x*y = 24.

Then factors of 24 are (6,4);(8,3);(12,2).

Thus x or y = 6 and y or x = 4, it is immaterial for present answer.

Next, no. of hugs is given by ^{X}C_{2} + ^{Y}C_{2} (easy if you remember that only 02 women/men hug at a time within their 2 groups).

Then start placing the 3 groups of factors. We find that for first, number of hugs is 21; for second 68; for third 31.

Only 21 is given in answer

**Explanation: 7.**

Let ABCD be the given parallelogram measuring 5 cm and 3.5 cm. One of its diagonals measures 6.5 cm, as shown in the figure. We know that the diagonal AC of the parallelogram divides it into two triangles of equal area.

Area of parallelogram ABCD = 2 X area of triangle ABC

Now, we calculate area of ΔABC .

**Explanation: 8.** Area of the quadrilateral ABCD = Area of + Area of the ΔADC as shown in the figure.

**Study the following graph carefully and answer the questions given below it.
**

**A district showing employment data (total population = 36000)**

L-employed | Literate unemployed | Illiterate-employed | Illiterate-unemployed | ||||

Urban | Rural | Urban | Rural | Urban | Rural | Urban | Rural |

80% | 20% | 30% | 70% | 80% | 20% | 20% | 80% |

**Explanation: 9.** Required ratio = 9/360× 36000 × 80/100 : 50/360 × 36000 × 20/100 = 36:5

**Explanation: 10.** Required amount = (90/360× 36000 × 80/100)/(90/360 × 36000 × 20/100) = 4

[Source:- Jagranjosh]