TCS NQT Official Mock Test - 2019 - Quant Standard

1. Professor nitwit obtains a hash number of a given positive integer > 3 as follows. He substracts 2 from the number (to get the new number), and multiplies the new number by 2 to get a term. He repeats this with the new number (to get newer numbers and terms) until the number becomes 2 or 1. The hash is defined as the sum of all the numbers generated in the process.
For example, with the number 5, he multiples (5-2 = 3) by 2 to get the first term 6. He multiplies (3 - 2 = 1) by 2 to get the second term 2. As the number has become 1, he stops. The hash is the sum of the two numbers (6+2) = 8.
If professor Nitwit is given 3 numbers 4, 9 and 13, what is the sum of the hash numbers he obtains for the three numbers?
a. 108
b. 120
c. 113
d. 103

2. Out of a group of swans, 7/2 times the square root of total number are playing on the shore of the pond. The remaining 2 are inside the pond. Find the total number of swans.
a. 4
b. 25.
c. 9
d. 16

3. Find the length of the longest pole that can be placed in an indoor stadium 24 m long, 18m wide and 16 m high.
a. 25 m
b. 34 m
c. 36 m
d. 30 m

4. 1/4 of the tank contains fuel when 11 litres of the fuel is poured into the tank the indicater rests at the 1/2 mark.find the capacity of the tank in litres.
a. 44
b. 8
c. 6
d. 36

5. In a village, every weekend, three-eigth of the men and one-third of the women participate in a social activity. If the total number of participants is 54, and out of them 18 are men then the total number of men and women in the village is:
a. 156
b. 228
c. 180
d. 204

6. In a certain city, 60% of the registered voters are congress supporters and the rest are BJP supporters. In an assembly election, if 75% of the registered congress supporters and 20% of the registered BJP supporters are expected to vote for candidate A, what percent of the registered voters are expected to vote for candidate A?
a. 53
b. 60
c. 75
d. 20

7. How many 6-digit even numbers can be formed from the digits 1, 2, 3, 4, 5, 6 and 7 so that the digits should not repeat and the second last digit is even?
a. 2160
b. 320
c. 6480
d. 720

8. You have been given a physical balance and 7 weights of 47, 46, 43, 48, 49, 42, and 77 Kgs.. Keeping weights on one pan and object on the other, what is the maximum you can weigh less than 178 Kgs.?
a. 174
b. 175
c. 177
d. 172