A four-digit number 3P2Q is divisible by both 2 and 3. Find the
smallest value of P + Q.
No explanation saved for this question yet.
A man bought an article and sold it at a profit of 15%. If he had
bought it at 25% less cost price and sold it for ₹294 less than the
original selling price, he would have made a profit of 30%. Find the
cost price of the article.
No explanation saved for this question yet.
The sum of two positive numbers is 32 and their product is 220. The
positive difference between them is:
No explanation saved for this question yet.
An article is marked at ₹3,000. The shopkeeper offers successive
discounts of 10% and 20%. What is the final selling price of the
article?
No explanation saved for this question yet.
Find the mode for the following distribution.
CL 40-45 45-50 50-55 55-60 60-65 65-70 70-75 75-80 Frequency 4 4
13 5 6 5 2 1
No explanation saved for this question yet.
A person standing on level ground looks up at the top of a vertical
tower. The angle of elevation formed at the observer’s eye is 60°. If
the tower is 18 m high, determine the horizontal distance (in
meters) between the person and the base of the tower.
No explanation saved for this question yet.
A specialized printing machine can print 2400 pages in 1 hour and
20 minutes. At this steady rate, how many pages can the machine
print in 45 minutes?
No explanation saved for this question yet.
Two banks, A and B, offered loans at 3.5% and 6.5% per annum,
respectively. Ashish borrowed an amount of ₹3,40,000 from each
bank. Find the positive difference between the amounts of simple
interest (in ₹) paid to the two banks by Ashish after 2 years.
No explanation saved for this question yet.
Pipes A and B can fill a tank in 12 hours and 15 hours, respectively. A
third pipe C can empty the full tank in 20 hours. If A and B are
opened together for 2 hours and then C is also opened, what is the
total time taken to fill the tank?
No explanation saved for this question yet.
A car travels 560 km in 9.5 hours, partly at 40 km/h and partly at 160
km/h. Find the distance travelled at 160 km/h.
No explanation saved for this question yet.
Sign up free in seconds to unlock step-by-step AI answers for the remaining 20 questions.
The price of an article is increased by 20%. In the next step, it is
decreased by x% of the new price. Finally, the price is increased by
10% of the original price. If the final price becomes exactly equal to
the original price, the value of x is:
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
The cost of 5 chairs and 3 tables is ₹12,500, while the cost of 3 chairs
and 5 tables is ₹15,500. Find the cost of 2 chairs and 2 tables.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
Three numbers are in the ratio 9 : 7 : 5, and their LCM is 2205. Their
HCF is:8625
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
A bus travels 90 km at 45 km/h, 120 km at 60 km/h, and 150 km at
75 km/h. What is the average speed of the bus for the entire
journey?
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
Arun sold an article for ₹1,786.40 and incurred a loss of 12%. At
what price should he sell the article to earn a profit of 14%?
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
Two taps can fill a cistern in 4 hours and 8 hours, respectively. A
third tap can empty it in 8 hours. How long (in hours) will it take to
fill one-fourth of the empty cistern if all the taps are opened
together?
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
The combined present age of P and Q is 46 years. 2 years ago from
now, P was twice as old as Q. What is the present age of P?
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
A shopkeeper offers the following schemes on toys of the same
marked price.
(A) Successive discounts of 24% and 33% on any number of toys
bought.
(B) Successive discounts of 39%, 37% and 23% on any number of
toys bought.
(C) 24% discount on the first 2 toys and 12% discount on each toy
thereon.
(D) 2 toys free of cost on buying 5 toys.
A customer wants to buy 5 toys. Which of the above schemes is the
least beneficial to her?
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
The sides of two square gardens are 16 m and 25 m, respectively. A
third square garden is to be constructed such that the length of its
side is the mean proportional between the sides of the given two
gardens. What will be the length of the side of the new square
garden?
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
What sum (in ₹) will earn a simple interest of ₹1,440 in 2 years at
16% per year rate of interest?
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
Three positive numbers are in proportion such that the ratio of the
first number to the second number is the same as the ratio of the
second number to the third number. If the first number is 16 and the
second number is 24, find the value of the third number.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
If the mean of the following data is 40, find the missing frequency. x
10 20 30 40 50 60 frequency 2 3 1 4 f 4
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
The price of an article is first increased by 20% and then decreased
by 20%. If the original price of the article is ₹500, what is the net
percentage change in the price?
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
If the mean proportional between x and 36 is 12, find x.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
Find the sum of the surface areas of three spheres of radii 2 cm, 3 cm and
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
Sixteen identical solid cubes, each of side 2 cm, are melted and recast into
breadth. Find the volume of the cuboid.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
Simplify:
d.
226 6 cm. a cuboid whose length is twice its breadth and height equals its
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
