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GATE Questions

A) 20 | B) 30 |

C) 40 | D) 50 |

Explanation:

The fruit content in both the fresh fruit and dry fruit is the same.

Given, fresh fruit has 68% water.so remaining 32% is fruit content. weight of fresh fruits is 100kg

Dry fruit has 20% water.so remaining 80% is fruit content.let weight if dry fruit be y kg.

Fruit % in freshfruit = Fruit% in dryfruit

Therefore, (32/100) x 100 = (80/100 ) x y

we get, y = 40 kg.

A) wrought iron | B) steel |

C) pig iron | D) nickel steel |

Explanation:

**Wrought Iron** is the purest form of iron. It contains 0.12 to 0.25% carbon and so it is the purest form of iron.

A) 1/4 | B) 1/2 |

C) 3/4 | D) 7/12 |

Explanation:

Let A, B, C be the respective events of solving the problem and $\overline{)A},\overline{)B},\overline{)C}$ be the respective events of not solving the problem. Then A, B, C are independent event

$\therefore \overline{)A},\overline{)B},\overline{)C}$ are independent events

Now, P(A) = 1/2 , P(B) = 1/3 and P(C)=1/4

$P\left(\overline{)A}\right)=\frac{1}{2},P\left(\overline{)B}\right)=\frac{2}{3},P\left(\overline{)C}\right)=\frac{3}{4}$

$\therefore $ P( none solves the problem) = P(not A) and (not B) and (not C)

= $P\left(\overline{)A}\cap \overline{)B}\cap \overline{)C}\right)$

= $P\left(\overline{)A}\right)P\left(\overline{)B}\right)P\left(\overline{)C}\right)$ $\left[\because \overline{)A},\overline{)B},\overline{)C}areIndependent\right]$

= $\frac{1}{2}\times \frac{2}{3}\times \frac{3}{4}$

= $\frac{1}{4}$

Hence, P(the problem will be solved) = 1 - P(none solves the problem)

= $1-\frac{1}{4}$= **3/4**

A) Dr. G. D. Bist | B) J.R.D. Tata |

C) J.M. Tagore | D) Khudada Khan |

Explanation:

**Dr. G. D. Bist**, Guinness Record Holder, the first-ever Ph.D. in Stenography in the world.

He had achieved a highest speed of **250 w.p.m**. in Shorthand.

A) Ganga | B) Yamuna |

C) Indus | D) Ravi |

Explanation:

Two sub groups of Himalayan Rivers are Trans Himalayan Rivers and Himalayan Rivers.

**Trans Himalayan Rivers :**

These rivers originate beyond the Himalayas. They are** The Indus, The Sutlej **and** The Brahmaputra Rivers.**

**Himalayan Rivers :**

These are the rivers originate from Himalayas. They are** The Ganga, The Yamuna and their tributaries.**

A) 116% | B) 166.66% |

C) 60% | D) 100% |

Explanation:

Let the cost price of 1-liter pure milk be Re.1, then

$\left\{\begin{array}{l}6liters\left(milk\right)\to C.P=Rs.6\\ 2liters\left(water\right)\to C.P=Rs.0\end{array}\right.\to CP=Rs.6only$

8 litre mixture =>

SP => 8 x 2 = Rs. 16

Profit % = $\frac{16-6}{6}x100=\frac{1000}{6}=\mathbf{166}\mathbf{.}\mathbf{66}\mathbf{\%}$

A) Monday | B) Tuesday |

C) Wednesday | D) Friday |

Explanation:

17th June, 1998 = (1997 years + Period from 1.1.1998 to 17.6.1998)

Odd days in 1600 years = 0

Odd days in 300 years = 1

97 years has 24 leap years + 73 ordinary years.

Number of odd days in 97 years ( 24 x 2 + 73) = 121 = 2 odd days.

Jan. Feb. March. April. May. June.

(31 + 28 + 31 + 30 + 31 + 17) = 168 days

168 days = 24 weeks = 0 odd day.

Total number of odd days = (0 + 1 + 2 + 0) = 3.

Given day is Wednesday.

A) 100% | B) 200% |

C) 300% | D) 400% |

Explanation:

Let the C.P be Rs.100 and S.P be Rs.x, Then

The profit is (x-100)

Now the S.P is doubled, then the new S.P is 2x

New profit is (2x-100)

Now as per the given condition;

=> 3(x-100) = 2x-100

By solving, we get

x = 200

Then the Profit percent = (200-100)/100 = 100

Hence the profit percentage is 100%