Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
A boat covers a distance of 120 km in 6 hours in downstream. The ratio of speed of boat in still water to speed of stream is 3:
12 hours
14 hours
10 hours
15 hours
16 hours
Correct answer
14 hours
Harry spent 20% of his monthly income on House rent. 20% of the remaining on Food and remaining amount he spent on clothing and investment in the ratio of 7: 9. If the difference between expenditure on Food and clothing is Rs.10800, then find his annual income.
Rs.1080000
Rs.700000
Rs.680000
Rs.960000
Rs.720000
Correct answer
Rs.1080000
A and B started a business with investment of Rs.24000 and Rs.30000 respectively. After 4 months, A withdraws 16 ⅔% of investment, B withdraws all his investment and C joined the business. If at the end of the year ratio of profit share of A, B and C is 32: 15: 20, then find the initial investment of C.
Rs.40000
Rs.20000
Rs.25000
Rs.32000
Rs.28000
Correct answer
Rs.20000
6 inlet pipes can fill 60% of the tank in 6 minutes. 4 outlet pipes can empty the same tank in 20 min. find the time taken by 2 inlet and 2 outlet pipe to fill/empty the tank when open together.
40 min
120 min
90 min
75 min
80 min
Correct answer
120 min
In a mixture A, quantity of milk is 18 liter which is 120% of quantity of water. In mixture B, quantity of milk is 24 liter which is 80% of quantity of water. If both mixture is mixed to form another mixture C, then find the difference between quantity of milk and water in the final mixture.
5 liters
3 liters
1 liter
4 liters
2 liters
Correct answer
3 liters
4 years ago, age of Ayush was equal to average of present age of Ayush , Rahul and Deepak. Deepak is 6 years older than Rahul and 3 years younger than Ayush. Find the present age of Deepak.
36 years
26 years
30 years
27 years
can’t be determined
Correct answer
can’t be determined
A shopkeeper mixed 20 kg of rice which costs Rs.90 per kg with P kg of soyabean which costs Rs.60 per kg and sold the mixture at Rs.63 kg per kg due to which he incurred a loss of 12.5%. Find the value of P.
40 kg
50 kg
45 kg
30 kg
54 kg
Correct answer
30 kg
There are 20 balls in a bag in which 6 are red balls, x are yellow balls and remaining are black balls. If a ball is picked, the probability of getting a yellow ball is 0.5. Find the difference between no. of yellow balls and black ball.
3
4
6
5
7
Correct answer
6
A person shares an amount of money in between his friend, son and brother in the ratio of 3: 2:
Rs.200
Rs.100
Rs.250
Rs.50
Rs.150
Correct answer
Rs.200
The curved surface area of a cylinder is 1760 cm² and total surface area of cylinder is 2992 cm², Find the radius of the cylinder.
7 cm
10.5 cm
14cm
17.5 cm
10 cm
Correct answer
14cm
Directions (61-65) : In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer:
I. x² + x - 6 = 0
II. 15y² - 11y + 2 = 0
if x>y
if x≥y
if x<y
if x≤y
if x = y or no relation can be established between x and y.
Correct answer
if x = y or no relation can be established between x and y.
Directions (61-65) : In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer:
I. x² + 21x + 108 = 0
II. 2y² + 53y + 350 = 0
if x>y
if x≥y
if x<y
if x≤y
if x = y or no relation can be established between x and y.
Correct answer
if x>y
Directions (61-65) : In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer:
I. x = ∛216
II. y⁴ = 1296
if x>y
if x≥y
if x<y
if x≤y
if x = y or no relation can be established between x and y.
Correct answer
if x≥y
Directions (61-65) : In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer:
I. 6x + 7y = 101
II. 13y - 10x = 29
if x>y
if x≥y
if x<y
if x≤y
if x = y or no relation can be established between x and y.
Correct answer
if x<y
Directions (61-65) : In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer:
I. 12x² - 7x + 1 = 0
II. 10y² - 37y + 7 = 0
if x>y
if x≥y
if x<y
if x≤y
if x = y or no relation can be established between x and y.
Correct answer
if x = y or no relation can be established between x and y.
Directions (31-37) : What approximate value will come in the place of question (?) mark in the following given questions.
(419.85 ÷ 21.15) × 7.96 + 139.68 = ? × 5.15
75
60
55
49
63
Correct answer
60
Directions (31-37) : What approximate value will come in the place of question (?) mark in the following given questions.
(? × 2.12) + 37.5% of 959.96 = 5600.05 ÷ 6.85
205
300
159
220
196
Correct answer
220
Directions (31-37) : What approximate value will come in the place of question (?) mark in the following given questions.
39.86% of 37.5% of 3999.86 + 19.82% of 30.15% of 499.89 = ?
520
630
590
545
645
Correct answer
630
Directions (31-37) : What approximate value will come in the place of question (?) mark in the following given questions.
62.5% of 319.95 - 20% of 784.8 + 43.75% of 480 = ?
253
143
243
175
233
Correct answer
253
Directions (31-37) : What approximate value will come in the place of question (?) mark in the following given questions.
25.05³ - 44.95² = (16.32 × 3.96³) + 4.06 × ?
3045
2875
3246
2765
3144
Correct answer
3144
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.