Q1.

A vessel contains a mixture of milk and water in the respective ratio of 14:3, 5 litres of the mixture is taken out from the vessel and 5 litres of pure water and 5 litres of pure milk Is added to the mixture. If the resultant mixture contains 20% water, what was the initial quantity of mixture in the vessel before the replacement ?

(a)51

(b)102

(c)68

(d)85

(e)  None of these

Q2.

In a test, minimum passing percentage for girls and boys is 30% and 45% respectively. A boy scored 280 marks and failed by 80 marks. How many more marks did a girl require to pass in the test if she scored 108 marks?

(a)132

(b)140

(c)160

(d)112

(e)  None of these

Q3.

If 3 balls are picked at random, what is the probability that none is yellow?

(a)  3/455

(b)  1/5

(c)  44/91

(d) 4/5

(e)  None of these

Q4.

A property tax increase was proposed by a municipal corporation and it was observed that 40% of the property owners favored it while 80% of the non-owners of property favored it. If 70% of voters are property owners, what is the probability that a voter selected at random would be the one favoring the increase?

(a)0.8

(b)0.52

(c)0.4

(e) None of these

Q5.

The respective ratio between the present age of Ram, Rohan and Raj is 3 : 4 : 5. If the average of their present age is 28 years then what would be the sum of the age of Ram and Rohan together after 5 years?

(a)  45 years

(b)  55 years

(c)  52 years

(d)  59 years

(e) None of these

Q6.

The ratio between the three angles of a quadrilateral is 1 : 6 : 2 respectively. The value of the fourth angle of the quadrilateral is 45. What is the difference between the value of the largest and the smallest angles of the quadrilateral ?

(a)165

(b)140

(c)175

(d)150

(e)  None of these

Q7.

A grocer purchased 2 kg. of rice at the rate of Rs. 15 per kg. and 3 kg. of rice at the rate of Rs.  13 per kg. At what price per kg. should he sell the mixture to earn 33-1/3% profit on the cost price ?

(a)  Rs 28.00

(b)  Rs 20.00

(c)  Rs 18.40

(d)  Rs 17.40

(e)  None of these

Q8.

A vendor sells calculators at the rate of Rs.  250 each and earns d commission of 20% on each- He also sells pens at the rate of Rs.  50 each and earns a commission of 10% on each. How much amount of commission will he earn in three days if he sells 10 calculators and 5 pens a day ?

(a)Rs.1575

(b) Rs. 1445

(c) Rs. 1550

(d) Rs. 1450

(e) None of these

Q9.

In how many different ways the letters of the word RECTITUDE can be arranged so that vowels come together ?

(a)4302

(b)7200

(c)4320

(d)4430

(e) None of these

Q10.

A shopkeeper marks his goods at such a price that after allowing a discount of 12.5% on the marked price, he still earns a profit of 10%. The marked price of an article which costs him  Rs 4,900 is

(a) Rs. 5,390

(b)  Rs. 6,160

(c)Rs. 5,490

(d)Rs. 6,260

(e) None of these

Q11.

9 Men working for 7 hours a day can complete a piece of work in 15 days. In how many days can 6 men working for 9 hours a day, complete the same piece of work ?

(a) 35/2 days

(b) 67/4 days

(c) 16 days

(d) 63days

(e) None of these

Q12.

A certain sum is invested for 2 years in scheme A at 10% p.a. compound interest (compounded annually). Same sum is also invested for 3 years in scheme B, at x% p.a. simple interest. The interest earned from scheme A is half to that of earned from scheme B. What is the value of x ?

[1]20

[2]9

[3]12

[4]18

[5]14

Q13.

Prem and Shyam decide to go on a trip to point Y on a particular day from point X. Prem leaves for point Y at 11 : 00 am, at speed of 72 km/hour. Shyam leaves for point Y at 11: 30 same day as Prem left. At what speed should Shyam travel to catch up with Prem in 4 hours ? (in km/hour)

(a)8 5

(b)81

(c)80

(d)82

(e)86

Q14.

Train A which is 320m long can cross a pole in 16 seconds. If It halts 5 times each time for exactly 18 minutes, how many hours will it take to cover a distance of 57 kms? (in hours)

(a)8

(b) 21/2

(c) 17/2

(d)9

(e)19/23

Q15.

A triangle has two of its angles in the ratio of 1 : 2. If the measure of one of its angles is 30 degrees, what is the measure of the largest angle of the triangle in degrees ?

(a)100

(b)90

(c)135

(d)Cannot be determined

(e)None of these

Q16.

The length of a rectangular floor is twice its breadth. If Rs. 256 is required to paint the floor at the rate of Rs. 2 per square metre, then what would be the length of floor ?

(a) 16 metres

(b) 8 metres

(c) 12 metres

(d) 32 metres

(e)None of these