Quantitative Reasoning Mcqs **pdf** for GAT Test Preparation | Mcqs Questions | GAT Test Preparation | Important Questions. However Today we will discuss about the important **GAT / nts** quantitative reasoning mcqs **with answers pdf** from which Quantitative Reasoning Mcqs **pdf** for GAT Test can be set up for the Subject of gat quantitative reasoning **pdf** for GAT Test upcoming paper on 12th September 2021.Similarly We have also set small quantitative **and analytical** reasoning mcqs **pdf** , verbal reasoning test pdf with answers for the GAT Test Preparation. Moreover we have recorded all GAT Test related preparation videos and sessions for the subject of quantitative reasoning mcqs **with solutions** , **analytical** reasoning mcqs for gat , **verbal** reasoning mcqs for gat test and **most repeated** mcqs **in** gat **general** for GAT Test Preparation.

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**Quantitative Reasoning Mcqs**Page 1**301 A man standing at a point P is watching the top of a tower, which makes an angle of elevation of 30º with the man’s eye. The man walks some distance towards the tower to watch its top and the angle of the elevation becomes 45º. What is the distance between the base of the tower and the point P?**

A. 9 units

**B. Data inadequate**

C. 12 units

D. 3√3 units

**302 What profit percent is made by selling an article at a certain price if by selling it at half of that price there would be a loss of 15%?**

A. 20 %

B. 50 %

**C. 70 %**

D. 90 %

**303 If a boy is 24 year younger than his father and after two year the sum of their will be 40. How old is the father?**

A. 10 years

B. 15 years

C. 20 years

**D. 30 ****years**

**304 What is the percent profit made on the sale of 1000 shares of stock bought at Rs. 10 per share and sold at Rs. 12 per share?**

A. 10%

B. 15%

**C. 20%**

D. 30%

**305 Quarter of one tenth of 120 is?**

A. 2

**B. 3**

C. 4

D. 5

**306 Which of the following is the closest square root of 1/2?**

A. 0.2

B. 0.5

**C. 0.7 **

D. 0.10

**307 From a point P on a level ground, the angle of elevation of the top tower is 30º. If the tower is 200 m high, the distance of point P from the foot of the tower is:**

**A. 346 m**

B. 400 m

C. 298 m

D. 312 m

**308 The angle of elevation of the sun, when the length of the shadow of a tree is equal to the height of the tree, is:**

**A. 45°**

B. 30°

C. None of these

D. 60°

**309 The angle of elevation of a ladder leaning against a wall is 60º and the foot of the ladder is 12.4 m away from the wall. The length of the ladder is:**

A. 14.8 m

B. 6.2 m

C. 12.4 m

**D. 24.8 m**

**310 A man on the top of a vertical observation tower observers a car moving at a uniform speed coming directly towards it. If it takes 8 minutes for the angle of depression to change from 30° to 45°, how soon after this will the car reach the observation tower?**

A. 12 min 23 second

B. 14 min 34 second

**C. 10 min 57 second**

D. 8 min 17 second

## GAT Test Preparation for all Subjects | **NTS** Quantitative Reasoning Mcqs

**NTS**Quantitative Reasoning Mcqs

All important subjects like **non** verbal reasoning test pdf with answers, **analytical** reasoning mcqs with answers pdf , Quantitative reasoning mcqs with answers pdf MCQ’s are shared in detail at this platform. This is the only platform for the NTS GAT Test Preparation in which we will try to figure out verbal reasoning test with answers pdf **11 plus** , and all the important areas and important type of Verbal reasoning mcqs for GAT Test Preparation questions that a candidate must be practiced and must know.

**311 If 6 men can complete a work in 15 hours. Then how many hours it will take if 10 men working on the same speed completes the work?**

A. 7

B. 8

**C. 9**

D. 10

**312 If x ^{2} – y^{2} = 28 and x – y = 8, then the average of x and y is**

A. 0.75

**B. 1.75**

C. 2.75

D. 3.75

**313 Find 4ab when a + b = 15 and a – b = 3**

A. 94

B. 127

C. 193

**D. 216**

**314 There are 30 passengers in a bus 2/3 of them are men then the percentage of women is?**

A. 31.33%

B. 32.33%

**C. 33.33%**

D. 34.33%

**315 A man is watching from the top of a tower a boat speeding away from the tower. The boat makes an angle of depression of 45° with the man’s eye when at a distance of 100 metres from the tower. After 10 seconds, the angle of depression becomes 30°. What is the approximate speed of the boat, assuming that it is running in still water?**

A. 32.42 km/hr

**B. 26.28 km/hr**

C. 24.22 km/hr

D. 31.25 km/hr

**316 The top of a 15 metre high tower makes an angle of elevation of 60° with the bottom of an electronic pole and angle of elevation of 30° with the top of the pole. What is the height of the electric pole?**

A. 12 metres

B. 5 metres

C. 8 metres

**D. 10 metres **

**317 The angle of elevation of the top of a tower from a certain point is 30°. If the observer moves 40 m towards the tower, the angle of elevation of the top of the tower increases by 15°. The height of the tower is:**

A. 62.2 m

B. 64.2 m

C. 52.2 m

**D. 54.6 m**

**318 On the same side of a tower, two objects are locate**

**D. Observed from the top of the tower, their angles of depression are 45° and 60°. If the height of the tower is 600 m, the distance between the objects is approximately equal to:**

A. 272 m

**B. 254 m**

C. 288 m

D. 284 m

**319 From a tower of 80 m high, the angle of depression of a bus is 30°. How far is the bus from the tower?**

A. 40 m

**B. 138.4 m**

C. 46.24 m

D. 160 m

**320 The angle of elevation of the top of a lighthouse 60 m high, from two points on the ground on its opposite sides are 45° and 60°. What is the distance between these two points?**

A. 30 m

**B. 94.6 m**

C. 45 m

D. 103.8 m

**321 From the top of a hill 100 m high, the angles of depression of the top and bottom of a pole are 30° and 60° respectively. What is the height of the pole?**

A. 52 m

**B. 66.67 m**

C. 50 m

D. 33.33 m

**322 A vertical tower stands on ground and is surmounted by a vertical flagpole of height 18 m. At a point on the ground, the angle of elevation of the bottom and the top of the flagpole are 30° and 60° respectively. What is the height of the tower?**

A. 10.40 m

B. 15.57 m

**C. 9 m**

D. 12 m

**323 A balloon leaves the earth at a point A and rises vertically at uniform spee**

**D. At the end of 2 minutes, John finds the angular elevation of the balloon as 60°. If the point at which John is standing is 150 m away from point A, what is the speed of the balloon?**

**A. 2.16 meter/sec**

B. 0.72 meter/sec

C. 0.63 meter/sec

D. 3.87 meter/sec

**324 If a + b = 5, then (a + b) ^{3} = ___?**

A. 25

**B. 125**

C. 265

D. 625

**325 Two consecutive positive multiples of three have a product of 54. What is the sum of the two numbers?**

A. 12

B. 13

C. 14

**D. 15**

**326 Planck’s constant has the dimensions of:**

A. Energy

B. Frequency

C. Momentum

**D. Angular momentum**

**327 The ages of Ali, Afzal and Bilawal are 17, 16 and 12 respectively. If the age of Ali also included the average of the ages is increased by 5. What is the age of Ali?**

A. 32

B. 33

C. 34

**D. 35**

**328 The angles of depression and elevation of the top of a wall 11 m high from top and bottom of a tree are 60° and 30° respectively. What is the height of the tree?**

A. None of these

B. 22 m

C. 33 m

**D. 44 m**

**329 The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is:**

A. 14

B. 15

**C. 16**

D. 17

**330 A car which gets 25 miles per gallon travels at a constant speed of 65 miles per hour. If the car’s tank, which holds 16 gallons of gasoline, was filled at noon, when should the gas gauge read one-fourth full? (Assume no stops)**

A. Between 2 PM and 3 PM

B. Between 3 PM and 4 PM

**C. Between 4 PM and 5 PM**

D. Between 5 PM and 6 PM

**331 Two vertical poles are 200 m apart and the height of one is double that of the other. From the middle point of the line joining their feet, an observer finds the angular elevations of their tops to be complementary. Find the heights of the poles.**

A. 65 m and 130 m

B. 130 m and 260 m

C. 141 m and 282 m

**D. 70.5 m and 141 m**

**332 To a man standing outside his house, the angles of elevation of the top and bottom of a window are 60° and 45° respectively. If the height of the man is 180 cm and he is 5 m away from the wall, what is the length of the window?**

**A. 3.65 m**

B. 2.5 m

C. 8.65 m

D. 2 m

**333 Two forces are acting together on an object. The magnitude of their resultant is minimum when the angle between the forces is.**

A. 90 degree

B. 120 degree

**C. 180 ****degree**

D. 360 degree

**334 In a class of 1500 students, 1200 are present then the percentage of absent students will be:**

A. 10%

**B. 20%**

C. 30%

D. 40%

**335 The elevation of the summit of a mountain from its foot is 45°. After ascending 2 km towards the mountain upon an incline of 30°, the elevation changes to 60°. What is the approximate height of the mountain?**

A. 0.6 km

**B. 2.7 km**

C. 1.2 km

D. 1.4 km

**336 Find the angle of elevation of the sun when the shadow of a pole of 18 m height is 6√3m long?**

A. 30°

**B. 60°**

C. 45°

D. None of these

**337 Find the greatest common divisor of 24 and 16**

A. 6

**B. 8**

C. 2

D. 4

**338 A train passes a telephone pole in 40 seconds moving at the rate of 36 KM per hour. Find the length of the train?**

A. 500 m

B. 600 m

**C. 700 m**

D. 800 m

**339 I have to be at a certain place at a certain time and find that I shall be 40 minutes too late if I walk at 3 KM an hour and 30 minutes too soon if I walk at 4 KM an hour. How far I have to walk?**

A. 12 km

**B. 14 km**

C. 16 km

D. 18km

**340 If 2x + y = 11 and 3x + 2y = 17 then y is?**

**A. 1**

B. 2

C. 4

D. 9

**341 If one dozen pencil price is 27, then price of 4 pencils is:**

A. 3

B. 6

**C. 9**

D. 12

**342 If 1 man write 5 papers in 5 minutes then, 1 man will write 1 paper in?**

**A. 1 minutes **

B. 2 minutes

C. 3 minutes

D. 4 minutes

**343 If 3a – 5 = 3 + 2a, then a = ?**

A. 4

**B. 8**

C. 12

D. 16

**344 A man is watching from the top of a tower a boat speeding away from the tower. The boat makes an angle of depression of 45° with the man’s eye when at a distance of 100 metres from the tower. After 10 seconds, the angle of depression becomes 30°. What is the approximate speed of the boat, assuming that it is running in still water?**

A. 32.42 km/hr** **

**B. 26.28 km/hr**

C. 24.22 km/hr

D. 31.25 km/hr

**345 The top of a 15 metre high tower makes an angle of elevation of 60° with the bottom of an electronic pole and angle of elevation of 30° with the top of the pole. What is the height of the electric pole?**

A. 12 metres

B. 5 metres

C. 8 metres

**D. 10 metres**

**346 The angle of elevation of the top of a tower from a certain point is 30°. If the observer moves 40 m towards the tower, the angle of elevation of the top of the tower increases by 15°. The height of the tower is:**

A. 62.2 m

B. 64.2 m

C. 52.2 m

**D. 54.6 m **

**347 On the same side of a tower, two objects are locate**

**D. Observed from the top of the tower, their angles of depression are 45° and 60°. If the height of the tower is 600 m, the distance between the objects is approximately equal to:**

A. 272 m

**B. 254 m**

C. 288 m

D. 284 m

**348 From a tower of 80 m high, the angle of depression of a bus is 30°. How far is the bus from the tower?**

A. 40 m

**B. 138.4 m**

C. 46.24 m

D. 160 m

**349 The angle of elevation of the top of a lighthouse 60 m high, from two points on the ground on its opposite sides are 45° and 60°. What is the distance between these two points?**

A. 30 m

**B. 94.6 m**

C. 45 m

D. 103.8 m

**350 From the top of a hill 100 m high, the angles of depression of the top and bottom of a pole are 30° and 60° respectively. What is the height of the pole?**

A. 52 m

**B. 66.67 m**

C. 50 m

D. 33.33 m

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