Junior Coach Football (Sports Youth Department) 2016

Total Questions: 100

21. In a class of 52 students, some speak Kannada, some speak English and some students speak both, if 30 studens speak Kannada and 38 students speak English, how many students speak both languages?

(1) 18
(2) 16
(3) 20
(4) 15

Correct Answer: (2) 16

Solution:

22. Ram spends 30% of his salary on house rent, 30% of the rest The spends on his children's education and 24% of the rest slary he spends on clothes. After his expenditure, he is left with 2500. What is Ram's salary?

(1) 6713.2
(2) 20,000
(3) 10,000
(4) 15,000

Correct Answer: (1) 6713.2

Solution:Let Ram's salary = Rs. 100

Rent = 100 * 30/100

= Rs. 30

Remaining = 100 - 30 = Rs , 70

On children's education

= 70 * 30/100

= Rs. 21

Remaining = 70 - 21 = Rs. 49

Expense on clothes = 49 * 24/100

= Rs. 11.76

Remaining = 49 -11.76 = Rs.37.24

Let salary = Rs. x

Then 37.24: 2500 :: 100 : x

x = (2500 * 100)/37.24

= Rs. 6713.21

Total salary = Rs. 6713.2

23. If 'n' is a natural number, then (6n² + 6n) is always divisible by -

(1) by 6 only
(2) both by 6 and 12
(3) by 12 only
(4) only by 18

Correct Answer: (2) both by 6 and 12

Solution:6n² + 6n

n = 1

6 * (1)² + 6 * 1 = 12

Divisible by both 6 and 12

24. Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case-

(1) 4
(2) 7
(3) 9
(4) 13

Correct Answer: (1) 4

Solution:Required number

= HCF of = (91 - 43), (183 - 91), (183 - 43)

HCF of = 48, 92, 140 = 4.

25. Find the area of an isoceles right angled triangle whose hypotenuse is 8 cm.

(1) 32 m²
(2) 24 m²
(3) 16 m²
(4) None of these DHA

Correct Answer: (3) 16 m²

Solution:

Area of triangle

= 1/2 * a² {∴a²+a² = 8² ∴ a² = 3}

= 1/2 *32

= 16cm²

BC² = AB² + AC²

64 = C² + a²

⇒ 2a² = 64

⇒ a² = 32

⇒ a = √32 cm.

26. The ratio between the speed of two trains is 7: 8, if the second train runs 400 km in 4 hours, then the speed of the first train is-

(1) 70 kmph
(2) 75 kmph
(3) 84 kmph
(4) 87.5 kmph

Correct Answer: (4) 87.5 kmph

Solution:Speed of second train

= 400/4 km/hr.

Let speed of first train = x

∴ 7 : 8 :: 100x : 100

⇒ x = 700/8

= 87.5 km/hr.

So speed of first train

= 87.5 km/hr.

27. Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?

(1) 210
(2) 1050
(3) 25200
(4) 21400

Correct Answer: (3) 25200

Solution:⁷C₃ * ⁴C₂

= 7*6*5/3*2*1 * 4*3/2*1

= 210

∴ each groups 5 letters number of words =

= 5! = 5*4*3*2*1 = 120

Required number of words

= 120 * 210 = 25200 .

28. 3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day 4 pumps must work to empty the tank in 1 day?

(1) 12 hours
(2) 13 hours
(3) 14 hours
(4) 15 hours

Correct Answer: (1) 12 hours

Solution:∴M₁P₁H₁ = M₂D₂H₂

Here M₁ = 3 Pump, D₁ = 2 day ,

H₁ = 8 hours

M₁ = 4 pump , D₂

= 1 day , H₂ = ?

∴ 3 * 2 * 8 = 4 * 1 * H₂

∴ H₂ = 12 hours

29. A father said to his son, "I was aas old as you are at present at IRST the time of your birth." If the father's age is 38 years now. the son's age five year back aar was?

(1) 10 years
(2) 12 years
(3) 14 years
(4) 16 years

Correct Answer: (3) 14 years

Solution:Let age of son = x years

∴ According to the question Age of father =(x+x) = 2x years

∴2x = 38

∴x = 19 years

Age of son 5 years ago

=19 - 5 = 14 years

30. (469+174)²-(469-174)²/469×174 = ?

(1) 2
(2) 4
(3) 2950
(4) 643

Correct Answer: (2) 4

Solution:(469 + 174)² - (469 - 174)²/465 * 174

a = 469, b = 174

(a + b)² - (a - b)²/ab

= 4ab/ab = 4

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