The present ages of A and B are in the ratio 5 : 7. After 6 years, the
sum of their ages will be 60 years. What is A’s present age?
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The average of 8 numbers is 43. If each number is decreased by 7,
what will the new average be?4635
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Two trains of lengths 100 m and 150 m are moving in opposite
directions at 40 km/h and 60 km/h, respectively. Find the time taken
by the trains (in seconds) to cross each other other.
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Juhi and Mamta have certain amount of money. If Juhi gives ₹30 to
Mamta, Juhi will then have twice as much money as Mamta.
However, if Mamta gives ₹10 to Juhi, Juhi will then have four times as
much money as Mamta. What is the total amount of money (in ₹)
that Juhi and Mamta initially had together?
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Pipes A, B and C can together fill a tank in 6 hours. After working
together for 2 hours, C is closed and A and B together fill the
remaining part in 7 hours. The time taken (in hours) by C alone to fill
the tank is:
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₹1,472 is divided among Rohit, Maya, and Vikas in such a way that if
₹25, ₹52, and ₹18 be deducted from their respective shares, they
have money in the ratio 15:19:17. Find Vikas’s amount after
deduction.
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The ages of father and son are in the ratio of 12:7. Four years from
now, their ages will be in the ratio of 5:3. Find the sum of their
present ages.
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What is the average of prime numbers lying between 5 and 30?
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A wholesaler allows a scheme discount of 25% on an article whose
marked price is ₹2,400. The retailer is required to pay the remaining
amount in full. What is the net price paid by the retailer?
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If the cost of 6 chocolates, 12 chocolates, and x chocolates are in
proportion such that x is the third proportional, how many
chocolates correspond to x?
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A sum, when invested at 20% simple interest per annum, amounts
to ₹5,040 after 3 years. What is the simple interest (in ₹) on the same
sum at the same rate in 2 years?3953
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If the ratio of the height of a tower and the length of its shadow on
the ground is √3 : 1, then the angle of elevation of the sun is:
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P sells an item to Q and earns 12% profit. Q sells it to R and earns a
profit of ₹26. If the item was sold to R directly by P at the same price,
the percentage of profit would have been 25%. The cost price of the
item is ₹_____.
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A sum is invested at 8% per annum, compounded half‑yearly. If the
amount after one year is ₹10,816, then what was the principal (in ₹)?
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The sum of the surface areas of two spheres is 12584 π sq. cm. The
radius of the larger sphere is five times the radius of the smaller
sphere. Find the diameter of the larger sphere.
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A cyclist travels from town A to town B, a distance of 182 km. For the
first 84 km, he rides at a certain speed. For the remaining distance
(98 km), he increases his speed by 7 km/h and therefore reaches 42
minutes earlier than the time he would have taken if he had
travelled the entire distance at the original speed. Find the original
speed.
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The sum of two positive numbers is 14 and their product is 45. The
positive difference between them is:
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The marked price of a cooker is the same at four shops I, II, III and
IV. Shop I allows two successive discounts of 89% and 68%, shop II
allows successive discounts of 50% and 51%, shop III allows
successive discounts of 25% and 11% and shop IV allows successive
discounts of 94%, 49%, and 21% on the marked price of the cooker.
Which shop is selling the cooker at the lowest price?3338
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A shirt costs ₹655. During a sale, its price is reduced by 20%. What is
the new price (in ₹) of the shirt?
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The LCM of the numbers 15, 10 and 0.4 is:8522
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A and B can do a piece of work in 12 days and 6 days, respectively.
Both work for 2 days and then A leaves. B completed the remaining
work alone. The whole work was completed in ______________ days.
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Which of the following options is the nearest number to 95061 that
is divisible by 9?
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Which of the following are true to construct a quadrilateral
uniquely?
( i ) Rhombus and square can be constructed when 2 diagonals are
given.
( ii ) The lengths of 2 adjacent sides and 2 angles are given.
( iii ) The lengths of 3 sides and 1 angle are given.
( iv ) The lengths of 4 sides and 1 diagonal are given.
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If the sum of two distinct consecutive prime numbers is 36, what is
the product of the two primes?
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The mode of the numbers 7, 8, 7, 9, 10 is:
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An investor’s portfolio value decreases by 30% in the first quarter
but then increases by 50% in the next quarter. What is the overall
percentage change in the portfolio value?
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A fruit seller uses a faulty balance that reads 900 grams as 1 kg. He sells
₹120 per kg (actual weight), what is his actual profit percentage?
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The radius of the base of a cylinder is 3.5 cm and its curved surface area
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d.
D. apples at ₹150 per kg (as per faulty balance). If his purchase price is is 616 cm². Find the volume of the cylinder. GA
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