TANCET 2024 Previous Year Questions (PYQs) – Page 2 of 10
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Showing 96 questions
The greatest number of four digits which is divisible by 15, 25, 40 and 75 is
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Solution
LCM $= 600$
Largest multiple below 9999 $= 9600$
Largest multiple below 9999 $= 9600$
The least multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15 and 18 is
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Solution
LCM $= 90$
Number $= 90k+4$ divisible by 7 ⇒ 364
Number $= 90k+4$ divisible by 7 ⇒ 364
Find the maximum number of students among whom 1001 pens and 910 pencils can be distributed such that each student gets the same number of pens and same number of pencils
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Solution
HCF $(1001,910)=91$
A vendor bought 6 toffees for a rupee. How many for a rupee must he sell to gain 20%?
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Solution
CP per toffee $=1/6$
SP $=1/5$ ⇒ 5 per rupee
SP $=1/5$ ⇒ 5 per rupee
A trader mixes 26 kg of rice at Rs.20 per kg with 30 kg of rice of other variety at Rs.36 per kg and sells the mixture at Rs.30 per kg. His profit percent is
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Solution
CP $=1600$, SP $=1680$ ⇒ Profit $=80$ ⇒ $5\%$
Tarun got 30% concession on the labelled price of an article and sold it for Rs.8,750 with 25% profit on the price he bought. What was the labelled price?
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Solution
CP $=7000$
MP $=10000$
MP $=10000$
The difference between the compound interest and the simple interest on a certain sum for 2 years at 6% per annum is Rs.18. Find the sum.
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Solution
$P(0.06)^2=18 ⇒ P=5000$
A man deposited Rs.1,000 in a bank. In return he got Rs.1,331. Bank gave interest 10% per annum. How long did he keep the money in the bank?
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Solution
$1000(1.1)^n=1331 ⇒ n=3$
Two pipes can fill a cistern in 14 hour and 16 hour respectively. The pipes are opened simultaneously and due to leakage it took extra time. When full, in what time will leak empty it?
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Solution
Answer $=112$ hour
A tank is filled in 5 hours by three pipes A, B and C. The pipe C is twice as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank?
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Solution
Ratio $1:2:4$ ⇒ A takes 35 hr
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