**1. In a covering, a certain distance, the speeds of A and B are in the ratio of 3:4. A takes 30 minutes more than B to reach the destination. The time taken by A to reach the destination is?**

- 1 hour
- 1 1/2 hour
- 2 hour
- 2 1/2 hour

**Answer: Option 3**

**Solution**

Ratio of speeds = 3:4

Ratio of times taken = 4:3

Suppose A takes 4x hrs and B takes 3x hrs to reach the destination.

Then, 4x – 3x = 30/60 => x = 1/2

Time taken by A = 4x hrs = 4 * 1/2 = 2 hrs.

**2. A train 110 m long is running with a speed of 60 km/hr. At what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?**

- 5 sec
- 6 sec
- 7 sec
- 10 sec

**Answer: Option 2**

**Solution**

Speed of train relative to man = 60 + 6 = 66 km/hr.

= 66 * 5/18 = 55/3 m/sec.

Time taken to pass the men = 110 * 3/55 = 6 sec.

**3. A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?**

- Rs. 375
- Rs. 400
- Rs. 600
- Rs. 800

Answer: Option 2

**Solution**

C’s 1 day’s work = 1/3 – (1/6 + 1/8) = 1/3 – 7/24 = 1/24

A’s wages : B’s wages : C’s wages

1/6 : 1/8 : 1/24 = 4:3:1

C’s share = 1/8 * 3200 = Rs. 400

**4. A, B, and C started a business with capitals of Rs. 8000, Rs. 10000 and Rs. 12000 respectively. At the end of the year, the profit share of B is Rs. 1500. The difference between the profit shares of A and C is?**

- Rs. 300
- Rs. 400
- Rs. 500
- Rs. 600
- None of these

**Answer: Option 5**

**Solution**

Ratio of investments of A, B and C is 8000 : 10000 : 12000 = 4 : 5 : 6

And also given that, profit share of B is Rs. 1500

=> 5 parts out of 15 parts is Rs. 1500

Now, required difference is 6 – 4 = 2 parts

Required difference = 2/5 (1500) = Rs. 600

**5. If Rs. 510 be divided among A, B, C in such a way that A gets 2/3 of what B gets and B gets 1/4 of what C gets, then their shares are respectively?**

- Rs. 120, Rs. 240, Rs. 150
- Rs. 60, Rs. 90, Rs. 360
- Rs. 150, Rs. 300, Rs. 60
- None of these

**Answer: Option 2**

**Solution**

(A = 2/3 B and B = 1/4 C) = A/B = 2/3 and B/C = 1/4

A:B = 2:3 and B:C = 1:4 = 3:12

A:B:C = 2:3:12

A;s share = 510 * 2/17 = Rs. 60

B’s share = 510 * 3/17 = Rs. 90

C’s share = 510 * 12/17 = Rs. 360.

**6. The current of a stream runs at the rate of 4 kmph. A boat goes 6 km and back to the starting point in 2 hours, then find the speed of the boat in still water?**

- 10 kmph
- 21 kmph
- 8 kmph
- 12 kmph

**Answer: Option 3**

**Solution**

S = 4

M = x

DS = x + 4

US = x – 4

6/(x + 4) + 6/(x – 4) = 2

x = 8

**7. In how much time would the simple interest on a certain sum be 0.125 times the principal at 10% per annum?**

- 1 1/4 years
- 1 3/4 years
- 2 1/4 years
- 2 3/4 years

**Answer: Option 1**

**Solution**

et sum = x. Then, S.I. = 0.125x = 1/8 x, R = 10%

Time = (100 * x) / (x * 8 * 10) = 5/4 = 1 1/4 years.

**8. Find the cost of fencing around a circular field of diameter 28 m at the rate of Rs.1.50 a meter?**

- Rs.150
- Rs.132
- Rs.100
- Rs.125

**Answer: Option 2**

**Solution**

2 * 22/7 * 14 = 88

88 * 1 1/2 = Rs.132

**9. A pupil’s marks were wrongly entered as 83 instead of 63. Due to the average marks for the class got increased by half. The number of pupils in the class is?**

- 10
- 20
- 40
- 73

**Answer: Option 3**

**Solution**

Let there be x pupils in the class.

Total increase in marks = (x * 1/2) = x/2

x/2 = (83 – 63) => x/2 = 20 => x = 40.

**10. The H.C.F of two numbers is 11 and their L.C.M is 7700. If one of the numbers is 275, then the other is?**

- 279
- 283
- 308
- 318

**Answer: Option 3**

**Solution**

Other number = (11 * 7700)/275 = 308.

**11. If the sum of the two numbers is 22 and the sum of their squares is 404, then the product of the numbers is?**

- 40
- 44
- 80
- 88

**Answer: Option 1**

**Solution**

Let the numbers be x and y.

Then, (x + y) = 22 and x2 + y2 = 404

Now,

2xy = (x + y)2 – (x2 + y2)

2xy= 222 – 404 = 484 – 404 = 80

xy = 40

**12. Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of solution R in the liquid in the tank after 3 minutes?**

- 5/11
- 6/11
- 7/11
- 8/11

**Answer: Option 2**

**Solution**

Part filled by (A + B + C) in 3 minutes = 3(1/30 + 1/20 + 1/10) = 11/20

Part filled by C in 3 minutes = 3/10

Required ratio = 3/10 * 20/11 = 6/11

**13. The principle that amounts to Rs. 4913 in 3 years at 6 1/4 % per annum C.I. compounded annually, is?**

- Rs. 3096
- Rs. 4076
- Rs. 4085
- Rs. 4096

**Answer: Option 4**

**Solution**

Principal = [4913 / (1 + 25/(4 * 100))3]

= 4913 * 16/17 * 16/17 * 16/17 = Rs. 4096.

**14. If the height of a cone is increased by 100% then its volume is increased by?**

- 100%
- 200%
- 300%
- 400%

**Answer: Option 1**

**Solution**

100%

**15. Find the one which does not belong to that group?**

- Walk
- Talk
- Drink
- Plank
- Lick

**Answer: Option 4**

**Solution**

Walk, Talk, Drink and Lick are verbs, but not Plank.

**16. A sells a bicycle to B at a profit of 20%. B sells it to C at a profit of 25%. If C pays Rs. 225 for it, the cost price of the bicycle for A is?**

- Rs. 110
- Rs. 120
- Rs. 125
- Rs. 150

**Answer: Option 4**

**Solution:**

125% of 120% of A = 225

125/100 * 120/100 * A = 225

A = 225 * 2/3 = 150.

**17. A person’s present age is two-fifths of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old id the mother at present?**

- 32 years
- 36 years
- 40 years
- 48 years

**Answer: Option 3**

**Solution**

Let the mother’s present age be x years. Then, the person’s present age = 2/5 x years.

(2/5 x + 8) = 1/2 (x + 8)

2(2x + 40) = 5(x + 8) => x = 40

**18. In an election between two candidates A and B, the number of valid votes received by A exceeds those received by B by 15% of the total number of votes polled. If 20% of the votes polled were invalid and a total of 8720 votes were polled, then how many valid votes did B get?**

- 2160
- 2420
- 2834
- 3150
- None of these

**Answer: Option 3**

**Solution**

Let the total number of votes polled in the election be 100k.

Number of valid votes = 100k – 20% (100k) = 80k

Let the number of votes polled in favour of A and B be a and b respectively.

a – b = 15% (100k) => a = b + 15k

=> a + b = b + 15k + b

Now, 2b + 15k = 80k and hence b = 32.5k

It is given that 100k = 8720

32.5k = 32.5k/100k * 8720 = 2834

The number of valid votes polled in favour of B is 2834.

**19. The cost of 16 pens and 8 pencils is Rs.352 and the cost of 4 pens and 4 pencils is Rs.96. Find the cost of each pen?**

- Rs.32
- Rs.28
- Rs.36
- Rs.25
- None of these

**Answer: Option 5**

**Solution**

Let the cost of each pen and pencil be ‘p’ and ‘q’ respectively.

16p + 8q = 352 — (1)

4p + 4q = 96

8p + 8q = 192 — (2)

(1) – (2) => 8p = 160

=> p = 20

**20. I. a2 + 11a + 30 = 0,**

** II. b2 + 6b + 5 = 0 to solve both the equations to find the values of a and b?**

- If a < b
- If a = b
- If the relationship between a and b cannot be established
- If a > b E. If a = b

**Answer: Option 2**

**Solution**

I. (a + 6)(a + 5) = 0

=> a = -6, -5

II. (b + 5)(b + 1) = 0

=> b = -5, -1 => a = b

**21. 32% of 425 – ?% of 250 = 36**

- 20
- 40
- 60
- 80 E. 70

**Answer: Option 2**

Solution

32/100 * 425 – x/100 * 250 = 36

=> x/100 * 250 = 136 – 36 = 100

=> x = (100 * 100)/250 = 40

**22. The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 500 resolutions?**

- 252 m
- 704 m
- 352 m
- 808 m
- None of these

**Answer: Option 2**

Solution

In one resolution, the distance covered by the wheel is its own circumference. Distance covered in 500 resolutions.

= 500 * 2 * 22/7 * 22.4 = 70400 cm = 704 m

**23. Which of the following has the same relationship as that of Money: Wealth?**

- Pity: Kindness
- Cruel: Anger
- Wise: Education
- Pride: Humility E. None of these

**Answer: Option 1**

Solution

-NA-