Scholarship Entrance Test 2 | 10x Academy

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The current erection cost of a structure is Rs. 10,000. If the labour wages per day increase by 1/5 of the current wages and the working hours decrease by 1/24 of the current period, then the new cost of erection in Rs. is

10750

11500

13000

14520

Ram and Ramesh appeared in an interview for two vacancies in the same department. The probability of Ram’s selection is 1/5 and Ramesh is 1/4. What is the probability that only one of them is selected?

13/20

7/20

1/4

3/4

For submitting tax returns, all resident males with annual income below Rs 10 lakh should fill up Form P and all resident females with income below Rs 8 lakh should fill up Form Q. All people with incomes above Rs 10 lakh should fill up Form R, except non residents with income above Rs 15 lakhs, who should fill up Form S. All others should fill Form T. An example of a person who should fill Form S is

A resident male with annual income Rs 9 lakh

A resident female with annual income Rs 9 lakh

A non-resident female with annual income Rs 8 lakh

A non-resident male with annual income Rs 16 lakh

If ‘TSBHTLL’ stands for ‘all the best’ and ‘SHSWDG’ stands for ‘good wishes’, which of the following indicates ‘good luck’?

KCLDG

KCLGD

KLCDG

KLCGD

It takes 60 minutes to empty a half-full tank by draining it at a constant rate. It is decided to simultaneously pump water into the half-full tank while draining it. What is the rate at which water has to be pumped in so that it gets fully filled in 15 minutes?

4 times the draining rate

3 times the draining rate

5 times the draining rate

6 times the draining rate

Find the odd one from the following group:

W,E,K,O I,Q,W,A F,N,T,X N,V,B,D

W,E,K,O

I,Q,W,A

F,N,T,X

N,V,B,D

Two and a quarter back, when seen in the mirror, the reflection of the wall clock without number marking seemed to show 10:15. What is the actual current time shown by the clock?

4:00

3:30

5:00

4:30

M and N start from the same location. M travels 10 Km East and then 10 Km North. N travels 5 Km South and then 4 Km East and 2Km North and 6 Km East. What is the shortest distance(in Km) between M and N at the end of their travel.

A shaving set company sells 4 different types of razors, Elegance, Smooth, Soft and Executive. Elegance sells at Rs. 20, Smooth at Rs. 30, Soft at Rs. 40 and Executive at Rs. 80 per piece. The table below shows the numbers of each razor sold in each quarter of a year.

Quarter/Product	Elegance	Smooth	Soft	Executive
Q1	50000	60000	30000	15000
Q2	20000	40000	80000	10000
Q3	60000	70000	60000	10000
Q4	20000	30000	30000	10000

What product contributes the greatest fraction to the revenue of the company in that year?

Elegance

Soft

Executive

Smooth

A straight line is fit to a data set (x^2, y). This line intercepts the abscissa at x^2 = 9 and has a slope of −0.02. What is the value of y at x = 2 from the fit?

�0.1

�0.2

0.1

0.2

Given set A = {3,4,5,6} and set B = {10,11,12,13,14}, two numbers are randomly selected, one from each set. What is the probability that the sum of two numbers equals 19?

.20

.15

.25

.10

In a company of 80 employees, 15 earn Rs 30,000 per month, 15 earn Rs 40,000 per month, 30 earn Rs 50,000, 15 earn Rs 80,000 and 5 earn Rs 2,00,000. What is the median of the salaries?

30,000

40,000

50,000

59,375

What is the sum of the missing digits in the subtraction problem below?

5 _ _ _ _

-4 8 _ 8 9

—————

9 1 0 2

Cannot be determined

Items	Cost(₹)	Profit %	Marked Price(₹)
A	6000	____	9000
B	______	25	12,500

Details of prices of two items A and B are presented in the above table. The ratio

of cost of item A to cost of item B is 3:4. Discount is calculated as the difference

between the marked price and the selling price. The profit percentage is calculated as the ratio of the difference between selling price and cost, to the cost (Profit % =[((Selling price−Cost) / Cost )× 100]. The discount on item B, as a percentage of its marked price, is ______

7.5

We have 2 rectangular sheets of paper. M and N, of dimensions 12 cm x 1 cm each. Sheet M is rolled to form an open cylinder by bringing the short edges of the sheet together. Sheet N is cut into equal patches and assembled to form the largest cube. Assuming the ends of the cylinder are closed, the ratio of volume of the cylinder to that cube is:

9/π

36/π

π/2

6π

Given arr= [[16,20,5,11],[10,1,9,12],[6,13,7,8]] Which of the following option does not add to 17

Arr[2][3] + arr[1][2]

Arr[0][3] + arr[2][0]

Arr[1][1] + arr[0][0]

Arr[1][0] + arr[2][3]

What is the time complexity of the following code:-

function fun(){

let count=0;

for(let i=0; I < n ;i++){

n=n/2;

count++;

}

O(log(n))

O(log(log(n)))

O(n)

O(1)

There are 4 different algorithms. A1, A2, A3, A4 to solve a given problem with the order log(n), log(log(n)), nlog(n), n/log(n) respectively. Which is the best algorithm?

for(let i=0;ik and k>1)?

O(n)

O(k)

O(logn(k))

O(logk(n))

Which of the following best describes the useful criterion for comparing the efficiency of algorithms?

Time

Memory

Both

None of the above

In a party, 70% of the invited guests are male and 30% are female. If 70% of the invited guests attended the party and if all the invited female guests attended, what would be the ratio of males to females among the attendees in the party?

1:1

2:3

3:2

4:3

What is the length of the array given below? array=[[0,2],[2,3,5,2,8],[1,2],[8,9]]

BEGK : ADFJ :: PSVY : ?

ROUX

ORUX

LQUT

LOQT

The smallest number y such that y*128 is a cube?

Scholarship Entrance Test 2 | 10x Academy

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