If the principal is ₹1000, the rate is 5% per annum, and the time is 2
years, what is the simple interest?
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Trains from Delhi, Lucknow, and Jaipur depart every 12 minutes, 18
minutes, and 27 minutes, respectively. If all depart together at 6:00
am, when will they depart together again?
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If 5 and 10 are given, what is the third proportional to these
numbers?
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A student scores 75, 80 and 90 in three tests with weights 2,3 and 5
respectively. What is the weighted average score?
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A retailer buys 60 pens and sells them at the purchase price of 72
pens. Determine his profit percentage.
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A shopkeeper offers the following schemes on toys of the same
marked price.
(A) Successive discounts of 44% and 12% on any number of toys
bought.
(B) Successive discounts of 18%, 43% and 23% on any number of
toys bought.
(C) 8% discount on the first 4 toys and 38% discount on each toy
thereon.
(D) On buying ten items, the customer is billed for only seven items.
A customer wants to buy 10 toys. Which of the above schemes is the
least beneficial to her?
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The ages of two siblings add up to 44 years. If one sibling is 4 years
younger than twice the other's age, what is the difference between
their ages?
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A train runs at 72 km/h for 3 hours and then at 60 km/h for 1.5
hours. What is the average speed of the train?
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If sin6A= cos12A, find the value of tan9A + cot9A.
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A shopkeeper marks an item at ₹4,000. During a festival, he first
offers a discount of 25% on the marked price. After a week, he
increases the discounted price by 20% to earn more profit. What is
the final selling price of the item after these successive changes?
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The speeds of two cars are in the ratio 5 : 7. The faster car covers
140 km in 2 hours. How much distance will the slower car cover in
the same time?
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Evaluate 24 3 + (-7) 3 + (-17) 3
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A television is marked at ₹50,000. A retailer gives a 15% discount on
the first 70% of the price and a 5% discount on the rest. What is the
total percentage discount offered?
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Which of the following digits should replace X so that the three-digit
number 2X2 is divisible by 4?
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Four numbers a, b, c and d satisfy the relation
(a + 2) : (b − 2) = (c + 4) : (d − 4).
If a = 6, b = 8 and c = 12, find the value of d.
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The largest four-digit number which when divided by 7, 6 and 10
leaves the remainder 5 in each case, is:
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Two trains, X and Y, are running on parallel tracks. Train X is 200 m
long and travels at 72 km/hr. Train Y is 300 m long. If the trains are
traveling in opposite directions, they pass each other completely in
15 seconds. If the trains were traveling in the same direction, how
long would it take for the faster train to overtake the slower one?
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The diagonals of a rhombus-shaped field are 224 m and 420 m long.
What is the perimeter (in m) of the field?
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Calculate the total amount when ₹4000 is invested at 10%
compound interest per annum, compounded annually for 2 years.
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Two taps can fill a cistern in 4 hours and 11 hours, respectively. A
third tap can empty it in 11 hours. How long (in hours) will it take to
fill one-fourth of the empty cistern if all the taps are opened
together?
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A transaction code 92419 is not divisible by 13. To make it divisible
by 13, the least digit should be appended at the end of the number.
What is that digit?
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The sum of two numbers is 72. If the larger number is increased by
8 and the smaller number is decreased by 6, then the resulting
numbers are in the ratio 3 : 2, respectively. Find the smaller of the
original two numbers.
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If 40% of a number exceeds 25% of it by 36, then the number is:
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The average of k numbers is x. If 48 is subtracted from each of any
two of the numbers, then we get (x-12) as the new average. Find the
value of k.
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Find the single discount equivalent to three successive discounts of
10% on a commodity.
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A tank is being filled by two taps, M and N. M fills the tank completely in
can empty the completely filled tank in 27 hours. How long will it take to
leakage continues?
d.
D. 18 hours and N fills it in 9 hours. A leakage at the bottom of the tank fill the empty tank completely if both taps are opened while the
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The curved surface area of a solid cylinder is numerically equal to the total
cylinder. If the height and radius of the first cylinder are 7 cm and 4 cm, respectively.
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