## Statement Based Quiz

__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

**(d)** Data Inadequate

**(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

__ANSWERS :__

**1 **c **2 **a **3 **c **4 ** **5 **d **6 **c **7 **c **8 **a **9 **c **10 **b **11 **a **12 **e **13 **b **14 **e **15 **d **16 **a

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