Tiêu đề Numerical Reasoning - CSE Reviewer.pdf ✅

NUMERICAL REASONING 1.) Solve: 1,4,9,16,25,36,49,64,____? 1.) 72 2.) 75 3.) 81 4.) 90 Ans.(3) 81 You can get this by squaring the numbers (1*1=1), (2*2=4), (3*3=9) and so on.... 2.) A5 D2 G125 J625 M3125____? 1.) P15525 2.) P15625 3.) 015525 4.) 015625 Ans. (2) P15625- the pattern is the next 2 letters from the alphabet and the number multiplied by 5 to next one 3.) Solve:2187,729,243,81,27,9,_____? 1.) 6 2.) 3 3.) 4 4.) 2 Ans. (2) 3 divide 2187 by 3 you'll get 729, then the next and so on 4.) Solve :13 -21 34 -55 89____? 1.) -95 2.) 104 3.) -123 4.) -144 Ans.-144 Subtract 13-34=-21 -21-(-55)= 34 34-89=-55 -55-89=-144 5.) Solve: AZ CX EV GT___? 1.) IR KP 2.) IR KQ 3.) IS KA 4.) IS KP Ans. (1) IR KP Use the equivalent ascending and descending letters in the alphabet 6.) Solve : (-9)(-22)=___? 1.) 198 2.) -198 3.) 31 4.) -31 Ans. (1) 198 multiplying numbers with similar sign = Positive 7.) Solve : what is 107-(-17)? 1.) -90 2.) 90 3.) 124 4.) -124 Ans.124 -positive -negative numbers is to change the sign of the subtrahend and follow the rules in addition 8.) What is the Greatest Common Factor of 36 and 54? 1.) 6 2.) 12 3.) 18 4.) 9 Ans. (3) GCF is 18 since 36 and 54 are divisible by 18,9,6,3 9.) 3/9 * 2/3=_____ 1.) 6/27 2.) 2/9 3.) 9/18 4.) 1/9 Ans. (2) 6/27 simplified into 2/9
10.) What is the sum of 1/2 + 8/4 + 6/12? 1.) 15/12 2.) 3/12 3.) 3 4.) 3 1/12 Ans. (3) the answer is 3 because 1/2 + 2 + 1/2=3 11.) (21)(-4)+(8)(-2)=___? 1.) -100 2.) 100 3.) -23 4.) 23 12.) What is the Least Common Denominator of 1/8, 3/4, and 1/16? 1.) 4 2.) 8 3.) 16 4.) 2 Ans. (3) LCD is 16 the denominators are : 8, 4 and 16 13.) Convert 3.4% as a fraction. 1.) 34/100 2.) .34/100 3.) 3.4/1000 4.) 3.4/100 Ans. (4) 3.4/100 because percent is n/100 14.) What is the ratio of 1/2 to 2/5? 1.) 3:5 2.) 5:4 3.) 1:3 4.) 2:5 15.) What is 1/4 in decimal? 1.) .025 2.) .25 3.) 2.5 4.) .0025 Ans. (2) .25 because it's the same as 25/100 16.) Find the value of X in the equation: 5× + 25=10 1.) 5 2.) 3 3.) -3 4.) -5 Ans. (3) ×=-3 because 5 (-3) + 25 =10 17.) 3/4 ÷ 1/8 =_____ 1.) 8 2.) 4 3.) 12 4.) 6 Ans. (4) you will get 6 if you cross multiply the fractions Division (a/b)/(c/d)=ad/bc Given 3/4 ÷ 1/8 = = (3)(8)/(4)(1) = 24/4 = 6 18.) The sum of two integers is 63. If one of the integers is three more than twice the other, what are the two integers? 1.) 19 and 44 2.) 42 and 21 3.) 43 and 20 4.) 17 and 46 5.) 18 and 45 Ans. is C. Let x be one number and (3+2x) the other. x + 3 + 2x = 63, 3x = 60, x = 20, (3+2x) = 43
19.) If x=8, Find the value of y in the equation: 4×- 2y = 28. 1.) -4 2.) -2 3.) 4 4.) 2 Ans. (4) y= 2 4 (8)-2(2)=28 4(8)-2y=28 32 -2y=28 -2y=28-32 -2y=-4 ------- -2 -2 y=2 20.) 2.12 is multiplied by 10 to the sixth power is? 1.) 212.000 2.) 2,120,000 3.) 212,000 4.) 21,200 Ans.(2) 2,120,000 10 to the 6th power is in million 21.) 25 is multiplied by 10 to the fifth power is? 1.) 2,500,000 2.) 250,000 3.) 25,000 4.) .000025 Ans. (1) 2,500,000 25 × 100,000 22.) Find the value of X if y=8 in the equation: 2× + 4 = 50 1.) 9 2.) 8 3.) 10 4.) 4 Ans. (1) ×=9 2 (9) + 4 (8) = 50 23.) What is the decimal Form of 3/4 %? 1.) .0075 2.) .007575 3.) .75 4.) .00075 Ans. (1).0075 →because 3/4 is 75 percent or 75/100 24.) Mr. Gil Bates owns 3/8 of Macrohard. After selling 1/3 of his share, how much of Macrohard does Mr. Gil Bates still own? 1.) 5/16 2.) 2/9 3.) 7/16 4.) 5/8 5.) 1/4 If Mr. Bates is selling 1/3 of his shares he is keeping 2/3 of his shares. His remaining total is: (3/8)-(1/3)*(3/8) Factor out a (3/8) = (1-1/3)*(3/8) Simplify the subtraction = (2/3)*(3/8) Multiplication fractions: cancel the 3 in the numerator of the 3/8 with the 3 in denominator of the 2/3 = (2/3)*(3/8) =2/8=1/4 25.) Cathy scored 85, 87, 90, 95, and 100 in her Math exams. What will be her average grade in Math from this period? 1.) 91.40 2.) 91.50 3.) 92 4.) 93.50 Ans. (1) 91.40 A=S/N S=85+87+90+95+100=457 N=5 A=457/5 =91.4
26.) Letty left home and drove at the rate of 50 miles per hour for 2 hours. She stopped for lunch then drove for another 4 hours at 65 mph to reach Los Angeles. How many miles did Letty drive to reach LA? 1.) 115 miles 2.) 360 miles 3.) 310 miles 4.) 100 miles Ans. (2) 360 miles d=rt d- distance r - rate t - time d=50 (2) + 4 (65) 100 + 260 = 360 miles 27.) 6/8 +2 1/2 +4/12 is also the same as? 1.) 1/2 + 2.5 + 1⁄4 2.) 1/2 + 5/2 + 1/6 3.) 3/4 + 2.5 + 1/6 4.) 3/4 + 5/2 +1/3 Ans. (4) 3/4 + 5/2 + 1/3 simplify the fractions given and convert the mixed number into improper fraction 28.) There are 36 reams of mimeographing paper in the drawer. If 1 1/4 dozens of reams of paper were to be used in printing, how many reams should be left in the drawer. 1.) 15 2.) 20 3.) 21 4.) 22 1 1/4 dozen x 12 = 15 reams to be used in printing 36 reams - 15 reams = 21 reams left in the drawer 29.) A square and a rectangle have equal areas. If the rectangle is 36 by 16, what is a side of a square? 1.) 24 2.) 26 3.) 29 4.) 34 Area of rectangle = length x width A = 36 x 16 A = 576 Area of square = (same as rectangle) A = square root of 576 A = 24 30.) Two numbers are in the ratio of 3 to 5. The lesser number is 42. Find the greater number. 1.) 70 2.) 75 3.) 112 4.) 126 The answer is 70 .. 3:5=42:x 3(x)=42(5) 3x=210 x=210/3 x=70 31.) The total area of a cube is the sum of its lateral area and the area of its basis. If the edge of a cube is 4, find its total area. 1.) 96 2.) 64 3.) 48 4.) 32 Ans.:96 Total area= 4(lateral area) + 2(area of base) = 4(4x4) + 2(4x4) = 64+32 =96 The lateral area means the surface area of the cube without the area of the top and bottom square faces.