Aptitude and Reasoning Questions

The side BC of ΔABC is produced to D. If ∠ACD = 114° and ∠ABC= (1/2)∠BAC, then what is the value (in degrees) of ∠BAC?

The least six digit number which is a perfect square is

Which of the following cube in the answer figure cannot be based on the unfolded cube in the question figure?

 In ΔDEF measure of angle E is 90 deg. If tanD = 4/3, and DE = 6cm, then what is the length (in cm) of side EF?

I am facing north. I turn left and walk 30 m. Then I turn right and walk 20 m, then I turn left and walk 10 m and then turning right and walk 50 m. Then I turn left and walk 50 m. In which direction am I from the starting point?

In the following question, two statements are given each followed by two conclusions I and II. You have to consider the statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements.

Statement:
(I) Petrol prices are increasing in the economy.
(II) The price of crude oil in international market has not shown reasonable increase.

Conclusions:
(I) The inflation has hit various commodities like petrol in the country.
(II) Demand for petrol is increasing but supply has not picked up with the same rate, hence resulting into hike in prices.

AD is the Median of Δ ABC. If O is the centroid and AO = 10 cm then OD is

A car takes 5 hours to cover 100 kms distance at a particular speed whereas another car takes 3 hours to reach a particular distance at the same speed. Find the distance.