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401 If 5x + 12= 44, what is the value of 5x – 12?
(A) 24
(B) 32
(C) 20
(D) 22
402 10 men dig a well in 5 days, how many days the will take if men are 5?
A. 10
B. 20
C. 30
D. 40
403 If 3x +17= 9. What is the value of x?
(A) 2
(B) 3
(C) -2
(D) -3
404 Half of 9/90 is
A. 1/2
B. 1/5
C. 1/9
D. 1/10
405 If a car moves at rate of 54 Km per hour, what is its speed in metres per second ?
A. 15 mps
B.18 mps
C. 21 mps
D.24 mps
406 Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?
A. 25200
B. 21300
C. 24400
D. 210
407 In a group of 6 boys and 4 girls, four children are to be selecte
D. In how many different ways can they be selected such that at least one boy should be there?
A. 212
B. 209
C. 159
D. 201
408 From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there in the committee. In how many ways can it be done?
A. 702
B. 624
C. 756
D. 812
409 In how many different ways can the letters of the word ‘OPTICAL’ be arranged so that the vowels always come together?
A. 920
B. 825
C. 720
D. 610
410 In how many different ways can the letters of the word ‘CORPORATION’ be arranged so that the vowels always come together?
A. 42000
B. 48000
C. 50400
D. 47200
411 In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
A. 64
B. 1
C. 126
D. 63
412 In a common base transistor circuit the current gain is 0.98.On changing the emitter current by 5.00 mA, the change in collector current is:
A. 4.9 mA
B. 5.9 mA
C. 6.9 mA
D. 7.9 mA
413 In how many different ways can the letters of the word ‘MATHEMATICS’ be arranged such that the vowels must always come together?
A. 100020
B. 140020
C. 9800
D. 120960
414 There are 8 men and 10 women and you need to form a committee of 5 men and 6 women. In how many ways can the committee be formed?
A. 11
B. 11760
C. 10420
D. None of these
GAT Test Preparation for all Subjects | NTS Quantitative Reasoning Mcqs
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415 A company has 11 software engineers and 7 civil engineers. In how many ways can they be seated in a row so that all the civil engineers are always together?
A. 11! × 7!
B. 18!
C. 12! × 7!
D. 18! × 2
416 A company has 10 software engineers and 6 civil engineers. In how many ways can they be seated around a round table so that all the civil engineers do not sit together?
A. 16! – (11! × 6!)
B. 15! – (10! × 6!)
C. 16!
D. 15!
417 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
418 At 3:40, the hour hand and the minute hand of a clock form an angle of:
A. 130 degree
B. 160 degree
C. 180 degree
D. 360 degree
419 Kamal is older than Jamal. Jamal is older than Husain. Husain is older than Waqar. Who is the oldest?
A. Kamal
B. Husain
C. Jamal
D. Waqar.
420 Find the H.C.F. of 108, 288 and 360.
A. 30
B. 36
C. 40
D. 46
421 Five balls needs to be placed in three boxes. Each box can hold all the five balls. In how many ways can the balls be placed in the boxes so that no box can be empty if all balls are different but all boxes are identical?
A. 25 B 6
C. 15
D. 23
422 Five balls needs to be placed in three boxes. Each box can hold all the five balls. In how many ways can the balls be placed in the boxes so that no box remains empty, if all balls and boxes are identical?
A. 2
B. 6
C. 1
D. 4
423 Five balls needs to be placed in three boxes. Each box can hold all the five balls. In how many ways can the balls be placed in the boxes so that no box remains empty If all balls and boxes are identical but the boxes are placed in a row?
A. 6 B 2
C. 4
D. 1
424 Eight balls of different colours need to be placed in three boxes of different sizes. Each box can hold all the eight balls. In how many ways can the balls be placed in the boxes so that no box remains empty?
A. 5796
B. 16800
C. 8212
D. 6016
425 The number of ways in which 13 gold coins can be distributed among three persons such that each one gets at least two gold coins is
A. 48
B. 36
C. 24
D. 0
426 In a certain Utility store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?
A. 60%
B. 65%
C. 70%
D. 75%
427 The expression x2−8x+12 is equal to 0 when x=2 and x=?
A. 2
B. 4
C. 6
D. 8
428 Which of the following provides the complete solution set for |2−z|>0 ?
A. z=2
B. z<2
C. z|z ≠ 2
D. No solutions
429 A train travels at a constant rate of 20 meters per secon
D. How many kilometres does it travel in 10 minutes? (1 km=1000 m)
A. 10 kilometres
B. 11 kilometres
C. 12 kilometres
D. 13 kilometres
430 In how many ways can seven ‘#’ symbol and five ‘*’ symbol be arranged in a line so that no two ‘*’ symbols occur together?
A. 44 B . 62
C 28
D. 56
431 Quarter of one tenth of 120 is?
A. 2
B. 3
C. 4
D. 5
432 Naresh has 10 friends and he wants to invite 6 of them to a party. How many times will 3 particular friends always attend the party?
A. 126
B. 720
C. 35
D. 120
433 A ship sails to a certain city at the speed of 15 Knots per hour and sails back to the same point at the rate of 30 Knots per hour. What is the average speed per hour for the whole journey?
A. 10
B. 20
C. 30
D. 40
434 A five-year bond is opened with $5000 in it and an interest rate of 2.5%, compounded annually. This account is allowed to compound for five years. Which of the following most closely approximates the total amount in the account after that period of time?
A. $2657
B. $3657
C. $4657
D. $5657
435 Find the largest number which divides 62, 132 and 237 to leave the same remainder in each case.
A. 30
B. 35
C. 40
D. 45
436 A cable breaks if stretched by more than 2 mm it is cut into two equal parts how much either part can be stretched without breaking?
A. 1 mm
B. 2 mm
C. 3 mm
D. 4 mm
437 The cost of Type 1 material is Rs. 15 per kg and Type 2 material is Rs.20 per kg. If both Type 1 and Type 2 are mixed in the ratio of 2 : 3, then what is the price per kg of the mixed variety of material?
A. Rs. 17
B. Rs. 18
C. Rs. 19
D. Rs. 16
438 A father said to his son, “I was as old as you are at the present at the time of your birth”. If the father’s age is 38 years now, the son’s age five years back was:
A. 14 Years
B. 16 Years
C. 18 Years
D. 20 Years
439 Give the missing number in the sequence: 15, 19, 25, 33, 43, 55, −−−, 85
A. 44
B. 58
C. 69
D. 71
440 In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?
A. 3.25
B. 4.25
C. 5.25
D. 6.25
441 8 litres are drawn from a cask full of wine and is then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in cask to that of the water is 16 : 65. How much wine did the cask originally hold?
A. 26 litres
B. 24 litres
C. 30 litres
D. 32 litres
442 There are 6 boxes numbered 1,2,…,6. Each box needs to be filled up either with a red or a blue ball in such a way that at least 1 box contains a blue ball and the boxes containing blue balls are consecutively numbere
D. The total number of ways in which this can be done is
A. 18
B. 24
C. 23
D. 21
443 Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg.
A. 2 : 3
B. 4 : 3
C. 3 : 2
D. 3 : 4
444 Two consecutive positive odd numbers have a product of 35. What is the sum of the two numbers?
(A) 11
(B) 12
(C) 13
(D) 14
445 Lin An instructor having 9224 students under him, arranges them into a square and finds 8 students to be excess. What is the number of students in the front row?
(A) 66
(B) 76
(C) 86
(D) 96
446 Let f(x) = x2−4x+2, and let g(x) = 6−x. What is the sum of the possible values of k such that f (k)=g(k)
A. 2
B. -2
C. 3
D. -3
447 Find the roots of the equation x2+5x+6=0.
A. 2, 3
B. -2, -3
C. 3, −3
D. 1, −3
448 The difference between a number and its square is 72. What is the number?
A. 4
B. 9
C. 18
D. 29
449 Find all solutions of the inequality 3x+13<x+21.
A. All x<1
B. All x>2
C. All x>4
D. All x<4
450 What values of x make the following statement true? |x – 3| < 9
A. –3 < x < 9
B. 6 < x < 12
C. –6 < x < 12
D. –12 < x < 6
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