1. The banker's discount on Rs. 1600 at 15% per annum is the same as the true discount on Rs. 1680 for the same time and at the same rate. The time is:

A. 3 months B. 4 months C. 6 months D. 8 months

Answer: Option B
Explanation: S.I. on Rs. 1600 = T.D. on Rs. 1680. Rs. 1600 is the P.W. of Rs. 1680, i.e., Rs. 80 is on Rs. 1600 at 15%. Time = [latex]\frac {(100 × 80}{1600 × 15}[/latex]year = [latex]\frac {1}{3}[/latex] year = 4 months.
2. Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:

A. Rs. 1 : 3 B. 3 : 2 C. 3 : 4 D. None of these

Answer: Option B
Explanation: Let the speeds of the two trains be x m/sec and y m/sec respectively. Then, the length of the first train = 27x meters, and length of the second train = 17y meters. z = [latex]\frac {27x + 17y}{x+ y}[/latex] = 23 27x + 17y = 23x + 23y 4x = 6y [latex]\frac {x}{y}[/latex] = [latex]\frac {3}{2}[/latex]
3. In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.40 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for ?

A. 160 B. 175 C. 180 D. 195

Answer: Option D
Explanation: Let the number of hens be x and the number of cows be y. Then, x + y = 48 .... (i) and 2x + 4y = 140 x + 2y = 70 .... (ii) Solving (i) and (ii) we get: x = 26, y = 22. The required answer = 26.
4. A boat can travel with a speed of 13 km/hr in still water. If the speed of the stream is 4 km/hr, find the time taken by the boat to go 68 km downstream.

A. 2 hours B. 3 hours C. 4 hours D. 5 hours

Answer: Option C
Explanation: Speed downstream = (13 + 4) km/hr = 17 km/hr. Time taken to travel 68 km downstream = [latex]\frac {68}{17}[/latex] hrs = 4 hrs
5. A man's speed with the current is 15 km/hr and the speed of the current is 2.5 km/hr. The man's speed against the current is:

A. 8.5 km/hr B. 9 km/hr C. 10 km/hr D. 12.5 km/hr

Answer: Option C
Explanation: Man's rate in still water = (15 - 2.5) km/hr = 12.5 km/hr. Man's rate against the current = (12.5 - 2.5) km/hr = 10 km/hr.

1. A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B's share?

A. Rs. 500 B. Rs. 1500 C. Rs. 2000 D. None of these

Answer: Option C
Explanation: Let the shares of A, B, C and D be Rs. 5x, Rs. 2x, Rs. 4x and Rs. 3x respectively. Then, 4x - 3x = 1000 x = 1000. B's share = Rs. 2x = Rs. (2 x 1000) = Rs. 2000.
2. The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight of B is:

A. 17 kg B. 20 kg C. 26 kg D. 31 kg

Answer: Option D
Explanation: Let A, B, C represent their respective weights. Then, we have: A + B + C = (45 x 3) = 135 .... (i) A + B = (40 x 2) = 80 .... (ii) B + C = (43 x 2) = 86 ....(iii) Adding (ii) and (iii), we get: A + 2B + C = 166 .... (iv) Subtracting (i) from (iv), we get : B = 31. B's weight = 31 kg.
3. 1, 4, 9, 16, 20, 36, 49

A. 1 B. 9 C. 20 D. 49

Answer: Option C
Explanation: The pattern is [latex]{1}^{2}[/latex], [latex]{2}^{2}[/latex], [latex]{3}^{2}[/latex], [latex]{4}^{2}[/latex], [latex]{5}^{2}[/latex], [latex]{6}^{2}[/latex], [latex]{7}^{2}[/latex]. But, instead of [latex]{5}^{2}[/latex], it is 20 which to be turned out.
4. At a game of billiards, A can give B 15 points in 60 and A can give C to 20 points in 60. How many points can B give C in a game of 90?

A. 30 points B. 20 points C. 10 points D. 12 points

Answer: Option C
Explanation: A : B = 60 : 45. A : C = 60 : 40. [latex]\frac {B}{C}[/latex] = [latex]\frac {B}{A}[/latex] x [latex]\frac {A}{C}[/latex] = [latex]\frac {45}{60}[/latex] x [latex]\frac {60}{40}[/latex] = [latex]\frac {45}{40}[/latex] = [latex]\frac {90}{80} = [/latex] = 90:80 B can give C 10 points in a game of 90.
5. How many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 8 m x 6 m x 22.5 cm?

A. 5600 B. 6000 C. 6400 D. 7200

Answer: Option C
Explanation: Number of bricks = [latex]\frac { Volume of the wall}{Volume of 1 brick}[/latex] = [latex]\frac {800 × 600 × 22.5}{25 × 11.25 × 6}[/latex] = 6400

1. If 2994 ÷ 14.5 = 172, then 29.94 ÷ 1.45 = ?

A. 0.172 B. 1.72 C. 17.2 D. 172

Answer: Option C
Explanation: [latex]\frac { 29.94}{1.45}[/latex] = [latex]\frac { 299.4}{14.5}[/latex] [latex]\frac {2994}{14.5}[/latex] X [latex]\frac { 1}{10}[/latex] [latex]\frac {172}{10}[/latex] = 17.2
2. The expression (11.98 x 11.98 + 11.98 x x + 0.02 x 0.02) will be a perfect square for x equal to:

A. 0.02 B. 0.2 C. 0.04 D. 0.4

Answer: Option C
Explanation: Given expression =[latex]{11.98}^{2}[/latex] + [latex]{0.0}^{2}[/latex] + 11.98 x x. For the given expression to be a perfect square, we must have 11.98 x x = 2 x 11.98 x 0.02 or x = 0.04 Then, Sachin's age = (x - 7) years.
3. A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is:

A. 720 B. 900 C. 1200 D. 1800

Answer: Option C
Explanation: 2(15 + 12) x h = 2(15 x 12) h = [latex]\frac {180}{27}[/latex]m = [latex]\frac {20}{3}[/latex]m Volume = 15 x 12 x [latex]\frac {20}{3}[/latex][latex]{m}^{3}[/latex]
4. A man purchased a cow for Rs. 3000 and sold it the same day for Rs. 3600, allowing the buyer a credit of 2 years. If the rate of interest be 10% per annum, then the man has a gain of:

A. 0% B. 5% C. 7.5% D. 10%

Answer: Option A
Explanation: C.P. = Rs. 3000. S.P. = Rs. [latex]\frac {3600 × 100 }{100 + (10 × 2) }[/latex] = Rs. 3000. 100 + (10 x 2) Gain = 0%.
5. In covering a distance of 30 km, Abhay takes 2 hours more than Sameer. If Abhay doubles his speed, then he would take 1 hour less than Sameer. Abhay's speed is:

A. 5 kmph B. 6 kmph C. 6.25 kmph D. 7.5 kmph

Answer: Option A
Explanation: Let Abhay's speed be x km/hr. Then, [latex]\frac {30 }{X }[/latex] - [latex]\frac {30}{2X }[/latex] = 3 6x = 30 x = 5 km/hr.