Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
A number is first decreased by 28% and then increased by 28%. The number so obtained is 784 less than the original number. Find the value of the original number.
1000
15000
10000
1500
Correct answer
1000
Find the area of a triangle whose length of two sides are 4 cm and 5 cm and the angle between them is 45°.
4√2 cm2
7√2 cm2
5√2 cm2
6√2 cm2
Correct answer
4√2 cm2
The price of a land passing through three hands rises on the whole by 65%. The first and second sellers earned 20% and 25% profit, respectively. Find the profit percentage earned by the third seller.
10%
20%
25%
15%
Correct answer
10%
The area of a rectangular field is 480 m2. If the length is 20% more than the breadth, then the length of the rectangular field is:
30 m
20 m
24 m
27 m
Correct answer
30 m
In a ΔPQR, ∠P : ∠Q : ∠R = 3 ∶ 4 ∶ 8. The shortest side and the longest side of the triangle,
PQ and PR
QR and PR
PQ and QR
QR and PQ
Correct answer
PQ and PR
A train covers a distance of 540 km between two stations in 240 minutes. It travels at a speed of 90 km/h to another station in 5 hours. What is the average speed of the train (in km/h)?
112
110
100
120
Correct answer
112
2(sin 1° × sec 89° ) + 3 (cos 11° × cosec 79°) + 5 (tan 21° × tan 69°) = ?
11
12
20
10
Correct answer
11
The HCF of 3888 and 3969 is:
81
73
83
71
Correct answer
81
The following table shows the number of mobile phones sold by four different stores in four different years.
| Stores | 2012 | 2013 | 2014 | 2015 |
|---|---|---|---|---|
| P | 178 | 183 | 205 | 225 |
| Q | 133 | 198 | 220 | 235 |
| R | 284 | 250 | 220 | 198 |
| S | 225 | 243 | 199 | 205 |
Find the difference between the number of mobile phones sold by store Q in 2013 and store S in 2015.
12
7
10
8
Correct answer
12
The fourth proportional to 0.3, 0.8 and 0.108 is:
0.144
0.124
0.288
0.482
Correct answer
0.144
Simplify the following.
19 ÷ 5 of \((27-\overline{15-21})\) +37
\(\frac{6124}{165} \)
\(\frac{19}{165} \)
\(\frac{6142}{165}\)
\(\frac{37}{165}\)
Correct answer
\(\frac{6124}{165} \)
The upstream speed of a boat is 8 km/h and the downstream is 15 km/h. What is the speed of the boat in still water and the speed of the stream (in km/h), respectively?
11 and 3
3 and 11
11.5 and 3.5
3.5 and 11.5
Correct answer
11 and 3
The price of almonds is increased by 10%. By what percentage should the consumption be decreased so that the expenditure remains the same?
\(9 \frac{1}{11} % \)
\(5 \frac{3}{11} %\)
\(8 \frac{1}{11} %\)
\( 10 \frac{3}{11} %\)
Correct answer
\(9 \frac{1}{11} % \)
Travelling a distance of 1000 km, a train slowed down due to repairs of the tracks. Its average speed for the trip reduced by 75 km/h and the time of travel increased by 3 hours. The original duration of the travel is:
6 hours
5 hours
5.5 hours
6.5 hours
Correct answer
6 hours
Ramesh borrowed Rs. 15,000 at a certain rate of simple interest from a bank. He repaid (the principal but not interest) Rs. 6,000 after 5 years, and after 5 more years he paid Rs. 18,600 and settled his account. Find the rate of simple interest per annum.
12%
10%
8%
6%
Correct answer
12%
Find the HCF of 240, 280 and 560.
30
10
20
40
Correct answer
30
The table below shows the production of jute fabric (in lakh metre) by two Companies P and Q during 2001 to 2005.
| Year | Company P | Company Q |
|---|---|---|
| 2001 | 100 | 96 |
| 2002 | 120 | 130 |
| 2003 | 108 | 100 |
| 2004 | 190 | 180 |
| 2005 | 240 | 275 |
In which year/years, did Company Q produce more fabric than Company P?
2002
2005
2003, 2005
2002, 2005
Correct answer
2002
The value of \(\frac{(157 \times 157)+(157 \times 133)+(133 \times 133)}{(157 \times 157 \times 157)-(133 \times 133 \times 133)}\) is:
\(\frac{1}{24}\)
24
290
\(\frac{1}{290}\)
Correct answer
\(\frac{1}{24}\)
Two trains of lengths 200 m and 250 m are running on parallel rail tracks at speeds of 68 km/h and 50 km/h, respectively. In how much time (in seconds) will they cross each other if they are running in the same direction?
90
85
80
75
Correct answer
90
Peter invested a certain sum of money in a scheme paying 10% simple interest per annum, while Rachel invested half of the sum that Peter invested in a scheme paying 10% interest per annum compounded annually. Also, while Peter invested for 2 years, Rachel invested for 3 years. If the difference in the interest earned by Peter and Rachel was Rs. 897, what was the sum that Rachel had invested?
Rs. 13,000
Rs. 12,900
Rs. 13,100
Rs. 12,960
Correct answer
Rs. 13,000
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.