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**Question 1: **Ramola’s monthly income is three times Ravina’s monthly income, Ravina’s monthly income is fifteen percent more that Ruchika’s monthly income. Ruchika’s monthly income is Rs. 32,000. What is Ramola’s annual income?

a) Rs. 1, 10, 400

b) Rs. 13, 24, 800

c) Rs. 36, 800

d) Rs. 52, 200

e) None of these

**Question 2: **An HR Company employs 4800 persons, out of which 45 percent are males and 60 percent of the males are either 25 years or older. How many males are employed in that HR Company who are younger than 25 years?

a) 2640

b) 2160

c) 1296

d) 864

e) None of these

**Question 3: **A person travels from P to Q at a speed of 40 kmph and returns to Q by increasing his speed by 50%. What is his average speed for both the trips?

a) 36 kmph

b) 45 kmph

c) 48 kmph

d) 50 kmph

e) None of these

**Question 4: **On combining two groups of students having 30 and 40 average marks respectively in an exam, the resultant group has an average score of 34. Find the ratio of the number of students in the first group to the number of students in the second group.

a) 2 : 1

b) 3 : 2

c) 3 : 1

d) 4 : 3

e) None of these

**Question 5: **The price of a book is first increased by 10% and then decreased by 5%, then the net change in the price will be

a) 4.2% increase

b) 4.5% increase

c) 4.2% decrease

d) 4.5% decrease

e) None of these

**Question 6: **The average of five numbers is 57.8.The average of the first and the second numbers is 77.5 and the average of the fourth and fifth numbers is 46.What is the third number ?

a) 45

b) 43

c) 42

d) Cannot be determined

e) None of these

**Question 7: **If the numerator of certain fraction increased by 100% and the denominator is increased by 200% the new fraction thus formed is $\frac{4}{21}$ What is the original fraction ?

a) $\frac{2}{7}$

b) $\frac{3}{7}$

c) $\frac{2}{5}$

d) $\frac{4}{7}$

e) None of these

**Question 8: **The average of five numbers is 49 the average of the first and the second numbers is 48 and the average of the fourth and fifth number is 28. What is the third number ?

a) 92

b) 91

c) 95

d) Cannot be determined

e) None of these

**Question 9: **The average speed of a train is 3 times the average speed of a car . The car covers a distance of 520 kms in 8 hours .how much distance will the train cover in 13 hours ?

a) 2553 kms

b) 2585 kms

c) 2355 kms

d) 2535 kms

e) None of these

**Question 10: **If the numerator of a fraction is increased by 400% and the denominator is increased by 500% the resultant fraction is $\frac{10}{21}$. What was the original fraction ?

a) $\frac{5}{12}$

b) $\frac{8}{13}$

c) $\frac{17}{14}$

d) $\frac{4}{7}$

e) None of these

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**Question 11: **One-eighth of a number is 17.25. What will 73% of the number be ?

a) 100.74

b) 138.00

c) 96.42

d) 82.66

e) None of these

**Question 12: **Mr Shamin’s salary increase every year by 10% in june. If there is no other increase or reduction in the salary and his salary in June 2011 was rs 22,385, what was his salary in June 2009 ?

a) rs 18,650

b) rs 18,000

c) rs 19,250

d) rs 18,500

e) None of these

**Question 13: **The average score of a cricketer for 13 matches is 42 runs. If the average score for the first 5 matches is 54, then what is his average score (in runs) for last 8 matches?

a) 37

b) 39

c) 34.5

d) 33.5

e) 37.5

**Question 14: **The average weight of 21 boys was recorded as 64kg. If the weight of the teacher is added, the average increased by one kg. What was the teacher’s weight?

a) 86 kg

b) 64 kg

c) 72 kg

d) 98 kg

e) None of these

**Question 15: **Find the average of the following sets of sources.

253, 124, 255, 534, 836, 375, 101, 443, 760

a) 427

b) 413

c) 441

d) 490

e) None of these

**Question 16: **The respective ratio between Sita’s and Riya’s and Kunal’s monthly income is 84: 76: 89. If Riya’s annual income is Rs. 456000, what is the sum of Sita’s and Kunal’s annual incomes? (In some cases monthly income and in some cases annual income is used).

a) Rs. 1195000

b) Rs. 983500

c) Rs. 1130000

d) Rs. 1038000

e) None of these

**Question 17: **Nandita scored 80 per cent marks in five subjects together viz, Hindi, Science, Maths, English and Sanskrit together wherein the maximum marks of each subject were 105. How many marks did Nandita score in Science if she scored 89 marks in Hindi, 92 marks in Sanskrit, 98 marks in Maths and 81 marks in English?

a) 60

b) 75

c) 65

d) 70

e) None of these

**Question 18: **The average of four consecutive numbers A, B, C and D respectively is 49.5. What is the product of B and D?

a) 2499

b) 2352

c) 2450

d) 2550

e) None of these

**Question 19: **In order to pass in an exam a student is required to get 780 marks out of the aggregate marks. Sonu got 728 marks and was declared failed by 5 per cent. What are the maximum aggregate marks a student can get in the examination.

a) 1040

b) 1100

c) 1000

d) Cannot be determined

e) None of these

**Question 20: **Mr. Shamin’s salary increases every year by 10% in June. If there is no other increase or reduction in the salary and his salary in June 2011 was Rs. 22,385/-, what was his salary in June 2009?

a) Rs. 18,650

b) Rs. 18,000

c) Rs. 19,250

d) Rs. 18,500

e) None of these

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**Answers & Solutions:**

**1) Answer (B)**

Ruchika’s monthly income = Rs 32000

Ravina’s monthly income = 32000 x (1 + $\frac{15}{100}$) = 32000 x $\frac{115}{100}$ = Rs. 36800

Ramola’s monthly income = 3 x 36800 = 110400

Ramola’s annual income = 12 x 110400 = 1324800

**2) Answer (D)**

Total employees = 4800

45% of employees are males = $\frac{45}{100}$ x 4800 = 2160

60% of 2160 are equal to or older than 25

So 40% of 2160 are younger than 25 years = $\frac{40}{100}$ x 2160 = 864

**3) Answer (C)**

Return speed = $\frac{40}{100}$ x 150 = 60 kmph

Average speed = $\frac{2 \times 40 \times 60}{(40 + 60)}$

$\frac{4800}{100}$ = 48kmph

**4) Answer (B)**

Required ratio = (40-34)/(34-30)=6/4=3/2

**5) Answer (B)**

Let the original price be Rs. 100.

New final price = 95% of (110% of Rs. 100) = Rs. 95/100×110/100×100 = Rs. 104.5

∴ Increase in price = 4.5%

**6) Answer (C)**

Let the numbers be a,b,c,d and e.

Now $\frac{a+b+c+d+e}{5}$=57.8*5

a+b+c+d+e=292

Now, $\frac{a+b}{2}$=77.5, a+b=155

Also, $\frac{d+e}{2}$=46, d+e=92.

Now, c=292-(a+b)-(d+e)=292-92-155=42.

Hence, the correct option is C.

**7) Answer (A)**

If the numerator (assume to be x) is increased by 100%, it becomes 2x

and the denominator(assume to be y) is increased by 200%, it becomes 3y.

The new fraction is $\frac{4}{27}$ = $\frac{2x}{3y}$

Hence, simplifying we get fraction has $\frac{2}{7}$

**8) Answer (E)**

Let the numbers be a,b,c,d,e.

Hence (a+b+c+d+e)/5=49

(a+b)/2=48, a+b=96.

(d+e)/2=28,d+e=56

c=245-96-56=93

**9) Answer (D)**

Let speed of train be x and speed of car be y.

Car covers 520km in 8 hrs, it’s speed= 520/8= 65km/hr

Speed of train = 3 * 65= 195km/hr

Distance covered by train in 13 hrs = 13*195= 2535km

**10) Answer (D)**

Let the original fraction be $\frac{X}{Y}$

After 400% increase, the numerator becomes $5X$ and after 500% increase, the denominator becomes $6Y$

Hence, the resulting fraction becomes $\frac{5X}{6Y}=\frac{10}{21}$

So, $\frac{X}{Y} = \frac{4}{7}$

**11) Answer (A)**

The number equals 8 times 17.25 = 138

Hence, 73% of the number equals 0.73*138 = 100.74

**12) Answer (D)**

Here, the salary is compounded every year.

Let salary be x.

22385=x(1+.1)^{2 }

x=18,500

**13) Answer (C)**

The average score of a cricketer for 13 matches is = 42 runs

Total score in 13 matches will be = 42*13 = 546

Total score of first 5 matches will be = 54*5 = 270

Hence, total score of last 8 matches = 546-270 = 276

So average of the last 8 matches will be = $\frac{276}{8} = 34.5$

**14) Answer (A)**

The average weight of 21 boys is 64 Kgs.

The average weight of 21 boys and the teacher is 65 Kgs.

So, total weight of 21 boys is 21*64 = 1344

The weight of 21 boys and the teacher = 22*65 = 1430

Hence, the weight of the teacher is 1430 – 1344 = 86 Kgs

**15) Answer (E)**

There are 9 numbers in the series:

Average =$\frac{253+124+255+534+836+375+101+443+760}{9}$ = 3681/9 = 409

**16) Answer (D)**

Let the total annual income of the three persons be x.

The given ratio is 84: 76: 89.

Riya’s share in this income would be$\frac{76x}{84+76+89}$ = $\frac{76x}{249}$

$\frac{76x}{249}$ = 456000

x = 14,94,000

Sum of Sita’s and Kunal’s annual incomes = Rs(14,94,000-4,56,000) = Rs 10,38,000

**17) Answer (A)**

The maximum marks of each subjec is 105

80% of 105 = 84

Since there are 5 subjects

Average marks =$\frac{Sum\ of\ all\ the\ marks}{5} = 84$

Sum of all the marks = 84*5 = 420

89+92+98+81+Science = 420

360+Science = 420

Science = 420-360 = 60

**18) Answer (A)**

Since the ages of A, B, C, D are consecutive

Let the ages of A, B, C, D be n, n+1,n+2,n+3

$\frac{n+n+1+n+2+n+3}{4} = 49.5$

4n+6 = 49.5*4 = 198

4n = 192

n = 48

Ages of A, B, C, D = 48, 49, 50 ,51

Product of ages of B and D = 49*51 = (50-1)(50+1) =$50^2-1$ = 2500-1 = 2449.

**19) Answer (A)**

Let the maximum aggregate marks be x

780/x – 728/x = 5/100

52/x = 1/20

x = 52*20 = 1040

**20) Answer (D)**

Let the salary in 2009 be x

Salary in 2010 = 1.1x

Salary in 2011 = 1.1x*1.1 = 1.21x

1.21x = 22385

x = 18500

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