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## TCS NQT Syllabus

## TCS NQT Numerical Ability Questions And Answers PDF

**For 3/16, 5/12, 7/8, what is the HCF**?

- A: 1/48
- B: 5/48
- C: 2/47
- D: 3/47

Answer: 2/47

**The boy entered a shop and bought x number of books for y rupees. In the end, when he was leaving, the bookkeeper said, “if you buy 10 more books, all the books will be 2 rupees, and you will save 80 cents a dozen”. What are x and y?**

- A: (15, 1)
- B: (10, 1)
- C: (5, 1)
- D: Cannot be determined.

Answer: (5, 1)

## TCS NQT Syllabus

**The sum of natural numbers was calculated by Mr A. He added a number twice and found that it was 1000. Find the repeated number.**

- A: 20
- B: 15
- C: 10
- D: 18

Answer: 10

**If in a game of 80, P can give 16 points to Q and R can give 20 points to P, then in a game of 150, how many points can R give to Q?**

- A: 48
- B: 90
- C: 54
- D: 60

Answer: D

**A student’s average (arithmetic mean) test score on four tests is 78. A student has to score 80 on the 5th test for their average score on the 5th test to be 80**

- A: 80
- B: 84
- C: 86
- D: 88

Answer: 88

### A 1.5 m wide path surrounds a rectangular ground 17 × 8 m. The path is 12 cm deep. The sand is filled, and the quantity of sand needed is determined.

A: 6.05

B: 7.05

C: 10.08

D: 5.5

Answer: 10.08

### A team of 12 is needed, with 7 men and 12 women, with a restriction of selecting no more than 3 men. How many ways can the selection be made?

- A: 9171
- B: 8243
- C: 7835
- D: 9967

Answer: 9171

### In still water, a boat can travel at a speed of 13 km/hr. If the speed of the stream is 4 km/hr, find the time required for the boat to travel 68 km downstream.

- A: 4 hours
- B: 5 hours
- C: 3 hours
- D: 2 hours

Answer: A

### Rahman went to a stationery shop and purchased 18 pencils for Rs.100. For each grey pencil, he paid 1 rupee more than for each black pencil. How much did he pay for a grey pencil, and how many did he buy?

A: Rs.5, 8

B: Rs.6, 10

C: Rs.6, 8

D: Rs.5, 10

Answer: Rs.6, 10

### There is a conical tent that can accommodate ten people. Each person requires six square feet. 30 cubic meters of air to breathe in a meter-squared space. What is the height of the cone?

A: 15 m

B: 72 m

C: 52 m

D: 21.5 m

Answer: 15 m

### Jake can paint a house in twenty days. In 15 days, Paul can paint the same house. Jake, Paul, and Harry painted in five days. Harry alone can paint a house.

- A: 24 days
- B: 18 days
- C: 20 days
- D: 12 days

Answer: 12

### Which of the following has the most negligible value?

- A. √75 – √74
- B. √74 – √73
- C. √77 – √76
- D. √76 – √75

Answer: C

### Solve 2x + 5 = 9

- A: 9
- B: 5
- C: 7
- D: 2

Answer: D

### Given, log(0.318) = 0.3364 and log(0.317) = 0.3332, find log(0.319)?

- A. 0.3393
- B. 0.3396
- C. 0.3693
- D. 0.0393

Answer: 0.3396

### The 7-digit number must contain all different digits. If digits at the extreme right and extreme left are fixed to 5 and 6, respectively, find how many such numbers can be formed?

- A 120
- B. 620
- C. 30240
- D. 6720

Answer: 6720

### A hall holds 23 people. They are shaking hands. What is the maximum number of handshakes possible if they are in a cyclic sequence?

- A. 22
- B. 33
- C. 251
- D. 253

Answer: 253

### What is the price of a mixture composed of an Rs. 10 per kg variety of an element and an Rs. 15 per kg variety of the same element?

- A: Rs. 15.1/kg
- B: Rs. 11.2/kg
- C: Rs. 9/kg
- D: Data insufficient

Answer: Rs 11.2/kg

### The index numbers of five commodities are 121, 123, 125, 126, 128, and the weights are respectively 5, 11, 10, 8, 6. What is the weighted average index number?

- A. 123.8
- B. 124.2
- C. 124.6
- D. 125.2

Answer: 124.6

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### 16 teams take part in a football match, which is divided into four groups. Each team from each group will play each other once. The top two winning teams will advance to the next round and the final match between the top two teams. So how many minimum matches will be played in that tournament?

- A. 15
- B. 40
- C. 13
- D. 43

Answer: 43

### What is 1344 ÷ 14 ÷ 4 × 34 – 35% of 540 – 45% of 1320 = x

- A: 46
- B: 33
- C: 87
- D: 67

Answer: 33

### For a 900-kilometre journey, the fast train takes 3 hours fewer than the slow train. If the speed of the slow train is 15 km/hr less than that of the fast train, the speed of the slow train is

- A: 50 km/hr
- B: 75 km/hr
- C: 60 km/hr
- D: 45 km/hr

Answer: 60 km/hr

### There are precisely 12 envelopes for each letter. One letter is to be inserted randomly into each envelope. How likely is it that precisely one letter will be inserted in the wrong envelope?

- A: 0
- B: 1
- C: 10!
- D. None of these

Answer: 0

### In opposite directions, two ants measuring 1 cm and 1.2 cm crawl at speeds of 2 mm per second and 3 mm per second, respectively. How long will it take them to cross each other?

- A: 4.4
- B: 2.8
- C: 0.4
- D: 1.5

Answer: 4.4

### HCF of 2472, 1284, and a 3rd number is 12. What is the number if their LCM is 8*9*5*103*107?

- A: 2^2
*3^2*5^1 - B: 2^2
*3^2*7^1 - C: 2^2
*3^2*8103 - D: None of the above.

Answer: 2^2*3^2*5^1

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### In six seconds, a train travelling at 60 kmph crosses a man. How long is the train?

- A: 250 meters
- B: 150 meters
- C: 100 meters
- D: 200 meters

Answer: 100 meters

### Alfred buys an old scooter for Rs. 4700 and repairs it for Rs. 800. What is his gain per cent if he sells the scooter for Rs. 5800?

- A: 4 4/7%
- B: 10%
- C: 5 5/11%
- D: 12%

Answer: 5.5/11%

### 3/5th of the balls in a bag are red. The rest are green. If 3/4th of the red balls and 5/7th of the green balls are defective, find the total number of balls in the bag, given that the number of non-defective balls is 111.

- A: 516
- B: 432
- C: 420
- D: 504

Answer: 420

### When Eesha was born, her father was 34 years old. Now that he is 13, Shashank is very proud that he is as tall as her, despite being three years younger. Eesha’s mother, who is shorter than Eesha, was only 29 when Shashank was born. What is the sum of Eesha’s parents’ ages now?

- A: 92
- B: 76
- C: 66
- D: 89

Answer: 92

### The prime factorization of integer N is A x A x B x C, where A, B and C are all distinct prime integers. How many factors does N have?

- A: 9
- B: 12
- C: 15
- D: 27

Answer: 12

### Two finals are scheduled at the same time – Wimbledon and World Cup Cricket. Anu wants to watch the Wimbledon finals, and her brother Vinu wants to watch the WCC final. They decide to roll a tetrahedral die twice. All four sides of the tetrahedron are numbered 1,2,3,4. First, Anu rolls, then Vinu rolls. The number on the first roll is strictly more significant than the number on the second roll. Anu wins and can watch Wimbledon. How likely is it that Anu will be able to watch Wimbledon?

- A: 7/16
- B: 9/16
- C: 3/8
- D: 1/2

Answer: 3/8

### What is the fourth proportional of 0.006, 1.2 & 6/25?

- A. 36
- B. 48
- C. 4.8
- D. 3.6

Answer: 48

### Fuel fills 1/4 of the tank. The 1/2 mark is reached when 11 litres of fuel are poured into the tank. Find the capacity of the tank in litres.

(1) 44

(2) 36

(3) 6

(4) 8

Answer: 44

### A physical balance was given to you, along with seven weights of 52, 50, 48, 44, 45, 46, and 78 kg. In a pan with weights on one side and an object on the other, how much can you weigh less than 183 kg?

(1) 178

(2) 180

(3) 182

(4) 181

Answer: 180

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