Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
If \(\rm \frac{(\sec A+\tan A)}{\sec A-\tan A}=2\frac{51}{79}\) then the value of sin A is equal to:
\(\frac{87}{169}\)
\(\frac{65}{144}\)
\(\frac{77}{144}\)
\(\frac{61}{169}\)
Correct answer
\(\frac{87}{169}\)
The value of 29 - [(48 ÷ 12) + 2 × (8 ÷ 4 + 4)] is equal to:
15
21
19
13
Correct answer
15
Simplify \(\rm \frac{\cos 13^{\circ}+\sin 13^{\circ}}{\cos 13^{\circ}-\sin 13^{\circ}}\)
cot 58°
cos 26°
tan 32°
tan 58°
Correct answer
cot 58°
A shopkeeper buys oranges at the rate of 10 oranges for ₹50 and sells them at the rate of 12 oranges for ₹74. Find his gain or loss percentage.
\(23\frac{1}{3%}\) gain
\(25\frac{1}{3%}\) loss
25% gain
30% loss
Correct answer
\(23\frac{1}{3%}\) gain
If x [ - 5 { - 4 ( - a ) } ] + 6 [ - 3 { -3 ( - a ) } ] = 6a, then the value of x is:
-3
-1
2
0
Correct answer
-3
S drives his car and covers 37 km and 500 m in 90 minutes. What is his average speed (in km/h)?
25
20
40
22.5
Correct answer
25
The following bar graph indicates the demand and production (in hundreds) of 5 companies A, B, C, D and E. X-axis indicates the demand and production (in hundreds) and Y-axis indicates the companies. Study the bar graph carefully and answer the question that follows.
Find the difference between the average demand and average production of the five companies taken together.
500
2000
1000
400
Correct answer
500
A certain amount of money becomes thrice in 5 years at compound interest. How many years it will take to become 9 times?
15 years
10 years
8 years
25 years
Correct answer
15 years
If x = 110, y = 111, z = 112, then find the value of x3 + y3 + z3 - 3xyz
999
995
997
991
Correct answer
999
The length of the side of a cube is 8 cm. Find the volume of the cube?
664 cm3
612 cm3
512 cm3
564 cm3
Correct answer
664 cm3
Find the natural number obtained when the number 13 is subtracted from the mean proportional of 75 and 12.
14
27
17
30
Correct answer
14
A seller offers a discount of 12% if the total sale price of different products purchased by a single customer is below ₹3,000, and discount of 15% if the total sale value of all the products exceeds ₹3,000. A shirt costing ₹900 was sold to Anand after earning a margin of 9% and also a jacket costing ₹1,900 was sold to him after a margin of 6%. How much does Anand have to pay (in ₹) for the final settlement of the bill?
2,645.60
2,953.60
3,005.40
2,635.60
Correct answer
2,645.60
A reduction of 7.5% in the cost price of a commodity enables a shopkeeper to purchase 15 kg more than what he previously purchased for a sum of ₹7,400. In order to make a profit of 32.5% on the pre-reduction cost price of the commodity, at what price (in ₹) per kg should the commodity be sold?
54
52
51
53
Correct answer
54
Anwesha's marks in a class test of Sanskrit were incorrectly entered as 99 instead of 66. If there are 55 students in the class, then what is the increment in the average marks of the class in Sanskrit because of this typing error?
0.4
0.8
0.6
0.2
Correct answer
0.4
The value of 64 ÷ [44 - (8 of 3 - 16) ÷ 4 × 20] is equal to :
15
16
18
12
Correct answer
15
The cost of painting a spherical vessel of diameter 14 cm is Rs. 21,560. What is the cost of painting (in Rs.) per square centimetre? (Use π = 22/7)
32
35
28
30
Correct answer
32
One laddoo with a radius of 5 cm belongs to a shopkeeper. How many laddoos of radius 2.5 cm may be created from the same one laddoo?
8
4
6
2
Correct answer
8
In an election between two candidates, the candidate who gets 35% of the votes polled is defeated by 15,900 votes. What is the total number of votes polled?
45,000
35,000
43,000
53,000
Correct answer
45,000
If a + 2b + 3c = 0, then what is the value of (a3 + 8b3 + 27c3 )?
18 abc
12 abc
6 abc
0
Correct answer
18 abc
The angles of a triangle are in the ratio 1 : 2 : 3, then find the ratio of the corresponding sides.
1 : √3 : 2
1 : 2 : √3
1 : √2 : 3
1 : 2 : 3
Correct answer
1 : √3 : 2
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.