Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
Three boys, on an average, are 25 years old, and their age are in the ratio of 3 : 5 : 7. What is the age of youngest boy'?
24 years
21 years
12 years
15 years
Correct answer
24 years
When A alone does a piece of work, he takes 25 days more than the time taken by A and B to do the work together. On the other hand, B alone takes 16 days more than the time taken by A and B to do the work together. How many days will A and B, working together, take to do the work?
24
20
23
22
Correct answer
24
If sin A + sin2A = 1 , then the value of cos4A + cos6A is:
cos A
sin A
1
0
Correct answer
cos A
Study the given table and answer the question that follows.
The data given in the table is for the month of December 2022.
| Company | Total number of employees | Number of female employees |
|---|---|---|
| P | 4560 | 2210 |
| Q | 4258 | 1650 |
| R | 3052 | 1280 |
| S | 4350 | 1920 |
What is the difference between the number of male employees in company P and that in company R?
592
578
605
580
Correct answer
592
Find the total surface area of a sphere whose volume is \(\frac{256}{3}\pi\) cm3.
48 π cm2
64 π cm2
38 π cm2
56 π cm2
Correct answer
48 π cm2
A dealer sells his goods at 10% loss on the cost price but uses 25% less weight. What is his profit percentage?
35%
20%
25%
15%
Correct answer
35%
Avi sold a house to Bhargav at a gain of 10% and Bhargav sold it to Chetan at a gain of 20%. If Chetan paid ₹2,64,00,000 for it, then at what price must Avi have purchased it?
₹2,00,00,000
₹2,30,00,000
₹2,50,00,000
₹1,75,00,000
Correct answer
₹2,00,00,000
Anandi bought a smart watch from an electronic store for Rs.4,400. Since she had less money, she paid Rs.2,000 for down payment and the shopkeeper offered her an alternative to pay Rs.2,440 after 1 month. Find the rate of interest being charged at simple interest by the shopkeeper in this instalment option?
20%
10%
22%
15%
Correct answer
20%
Let the HCF of m and n be ‘a’ and let n = ab, LCM of m and n is given by:
bm
am
ab
mn
Correct answer
bm
A boat covers a distance of 72 km downstream in 6 hours, while it takes 12 hours to cover the same distance upstream. What is the speed of the boat in still water?
6 km/h
9 km/h
10 km/h
8 km/h
Correct answer
6 km/h
In ΔABC, ∠B = 90° and AB ∶ BC = 1 ∶ 2. The value of cos A + tan C is:
\(\frac{5+\sqrt5}{2\sqrt5}\)
\(\frac{1+\sqrt5}{2\sqrt5}\)
\(\frac{2\sqrt5}{2+\sqrt5}\)
\(\frac{2+\sqrt5}{2\sqrt5}\)
Correct answer
\(\frac{5+\sqrt5}{2\sqrt5}\)
If the radius of a hemispherical balloon increases from 4 cm to 7 cm as air is pumped into it, find the ratio of the surface area of the new balloon to its original.
16 ∶ 21
49 ∶ 16
20 ∶ 49
21 ∶ 12
Correct answer
16 ∶ 21
The fraction equivalent to \(\frac{1}{5}%\) is:
\(\frac{1}{125}\)
\(\frac{1}{200}\)
\(\frac{1}{40}\)
\(\frac{1}{500}\)
Correct answer
\(\frac{1}{125}\)
Rakhi purchased a basket, a wallet and a belt. She got discounts of 5%, 8% and 10% on the basket, the wallet and the belt, respectively, on their respective marked prices of ₹80, ₹150 and ₹350. How much amount (in ₹) did she pay in total?
529
51
580
519
Correct answer
529
E, F, G, and H are four points lying on the circumference of a circle to make a cyclic quadrilateral. If ∠FGH = 57°, then what will be the measure of the ∠HEF?
33°
123°
93°
143°
Correct answer
33°
In an election between two candidates, 80% of the voters cast their votes, out of which 5% votes were declared invalid. A candidate got 9500 votes which were 80% of the valid votes. Find the total number of voters enrolled in that election.
14780
15100
15625
16100
Correct answer
14780
An inlet pipe can fill an empty tank in 3.6 hours, while an outlet pipe can drain a completely-filled tank in 6.3 hours. If both the pipes are opened simultaneously when the tank is empty, in how many hours will the tank get completely filled?
9.0
8.4
8.1
8.7
Correct answer
9.0
If k(tan 45° sin 60°) = cos 60° cot 30°, then the value of k is:
1
2
\(\frac{1}{\sqrt3}\)
√3
Correct answer
1
The total surface area of a square-based right pyramid is 1536 m2 , of which 37.5% is the area of the base of the pyramid. What is the volume (in m3 ) of this pyramid?
3048
3072
3144
3108
Correct answer
3048
Simplify \(\frac{1-\frac{3}{7}\div\frac{9}{49}\times \frac{3}{14}}{1+\frac{3}{5}\div\frac{1}{25}\times\frac{1}{30}}\)
\(\frac{1}{7}\)
\(\frac{1}{6}\)
\(\frac{1}{3}\)
\(\frac{1}{5}\)
Correct answer
\(\frac{1}{7}\)
Solving previous year questions by topic helps identify recurring concepts, question patterns, and frequently asked sub-topics. Attempt each question, review the step-by-step explanation, and note down key formulas or facts for quick revision before the exam.