1. How many factors of 2^{5} * 3^{6} * 5^{2} are perfect squares?

- 18
- 24
- 36
- 8

**Show Answer**

Answer: Option B
Explanation:

Any factor of this number should be of the form 2

^{a}* 3^{b}* 5^{c}. For the factor to be a perfect square a,b,c have to be even. a can take values 0, 2, 4. b can take values 0, 2, 4, 6 and c can take values 0, 2 Total number of perfect squares = 3 * 4 * 2 = 24.**2. The bar graph given below shows the sales of books (in thousand numbers) from six branches of a publishing company during two consecutive years 2000 and 2001.**

**Total sales of branch B6 for both the year is what percent of the total sales of branches B3 for both the years? A. 68.54% B. 71.11% C. 73.17% D. 75.55%**

**Show Answer**

Answer: Option C
Explanation:

Required percentage:
=[(70+80)/(95+110)×100]
=[(150/205)×100]
=73.17

**3. Study the following information carefully and answer the given questions.**

**Seven friends A. B. C. D. E. F and G studied in colleges X, Y and Z and are currently in different professions namely, Medicines, Fashion designing, Engineering, Business, Acting, Teaching and architecture (not necessarily in the same order).**

**At least two and not more than three friends had studied in the same college.**

**C is an architect and studied in college Y.**

**E is not a businessman.**

**Only Gamongst the seven friends studied in college X along with E.**

**F is an engineer and did not study in college Y.**

**B is an actor and did not study in the same college as F.**

**A did not study in college Z.**

**Those who studied in college X are neither Fashion Designers nor teachers.**

**None of those studied in college Y is a teacher.**

**Question 1:**Who amongst the following have studied in college Z? (a) B, A (b) C, F (c) B, D, F (d) A, D (e) D, F

**Question 2:**Which of the following groups represents the students of college Y? (a) C, E, G (b) A, C, D (c) A, B, C (d) D, B, C (e) None of these

**Question 3:**What is the profession of F? (a) Engineering (b) Business (c) Medicines (d) Acting (e) None of these

**Question 4:**Who amongst the followings is in the profession of medicines? (a) E (b) G (c) A (d) D (e) None of these

**Key Points:**

- Only G amongst the seven friends studied in college X along with E.
- Since there is no place is left in College X and F is not with B so B is in y
- Since A is not in college Z therefore A is also in college Y.
- We are given by the statement that, none of those studied in college Y is a teacher, so A,B,C, three of them are not Teacher i.e. so the one who is a Teacher would be D because we also know that E,F,G three of them also not teacher .

Names /Profession | Medical | Fashion | Engg. | Business | Acting | Teaching | Architect |

A | No | Yes | No | No | No | No | No |

B | No | No | No | No | Yes | No | No |

C | No | No | No | No | No | No | Yes |

D | No | No | No | No | No | Yes | No |

E | Yes | No | No | No | No | No | No |

F | No | No | Yes | No | No | No | No |

G | No | No | No | Yes | No | No | No |

**Show Answer**

Friends | College |

A | Y |

B | Y |

C | Y |

D | Z |

E | X |

F | Z |

G | X |

**Answer 1: (e)**D and F have studied in college Z.

**Answer 2: (c)**A, B and C were students of college Y.

**Answer 3: (a)**F’s profession is engineering.

**Answer 4: (a)**E is in the profession of medicines.

**4. Para- Completion**

**When we call others dogmatic, what we really object to is (………)**

**A. Their giving the dog a bad name**

**B. Their holding dogmas that are different from our own**

**C. The extremism that goes along with it**

**D. The subversion of whatever they actually believe in concomitantly**

**Show Answer**

Who are dogmatic individuals? People who keep opinions of their own and are not willing to accommodate others. This is best reflected in option 2, where people would object to the dogmas held by others, that is their stringent opinions.

**5. India’s first multi-modal electric vehicle project has launched in which city?**[A] New Delhi [B] Kolkata [C] Chennai [D] Nagpur

**Show Answer**

India’s first multi-modal electric vehicle project has been inaugurated by the Union Road Transport and Highways Minister Nitin Gadkari, along with Maharashtra Chief Minister Devendra Fadnavis at the Nagpur Airport Complex to promote eco-friendly transport. With this, Nagpur became the first city in India to have electric mass mobility system with a fleet of 200 electric vehicles, including taxis, buses, e-rickshaw and autos.