A toothpaste manufacturer is giving two different offers on its 100 g tube. The first one is giving 30% extra at the same price, and the second one is giving 30% off on the marked price. By what percentage is the first offer costlier than the second one?
Answer : Option C.
Suppose the price of the toothpaste is Rs. 10. In the first offer, the price per gram would be Rs. 10/130 while in the second offer, the price per gram would be Rs. 7/100.
So the first offer is costlier than the second offer by 10/130 – 7/100 = Rs. 9/1300. Hence the first offer is costlier than the second one by 9/1300 ÷ 7/100 × 100 = 9.89%.
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The Hussain Sagar Express travels from Mumbai to Hyderabad. Along the way the train stops at 18 different places. So, in total, there are 20 stops including stop at Mumbai and Hyderabad. How many different tickets can be given out by the railways?
190 different tickets
380 different tickets
145 different tickets
120 different tickets
Answer : Option B.
As there are 20 stations in total, so number of tickets = 20P2 = 380.
If log1227 = a, the log616 is
Answer : Option D.
Sea water contains 5% salt by weight. How many kilograms of fresh water must be added to 40 kg of sea water so that the salt content of the solution becomes 2%?
Answer : Option A
5% salt by weight means 2 kgs out of 40 kgs is salt.
Let x be the total amount of mixture
Therefore, 2% of x = 2 → x = 100 kg
So the amount of fresh water to be added in the mixture is 100 – 40 = 60 kg
A spherical ball 6 cm in diameter is melted and recast into 3 smaller spherical balls. The radius of the two of the there are 1.5 cm and 2 cm respectively. The radius of the third is
Answer : Option D.
If p, q, r are in G.P; then log p n, logq n, logr n are in
Answer : Option A.
p,q,r are three terms in GP then q/p = r/q.
Taking log to the base n on both sides
log n q/p = logn r/q
⇒ log n q- log n p = log n r – log n q
This implies logn p, logn q, logn r are in AP therefore the log p n, log q n, log r n are in HP.
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