MATH

What approximate value should come in place of the question mark (?) in the following equation? 158.25 x 4.6 + 21% of 847+?= 950.93 35 40 50 Answer:45 25 The average of the first and the second of three numbers is 15 more than the average of the second and the third of these numbers. What is the difference between the first and the third of these three numbers? 15 45 60 Data inadequate Answer:None of these Difference is 30 – The difference between the simple and the compound interest compounded every six rnonths at the rate of 10 %.p.a. at the end of two years is Rs. 124.05. What is the sum? Rs 10,000 Rs 6,000 Rs 12,000 Answer:Rs 8,000 None of these What approximate value should come in place of the question mark (?) in the following equation? 85.147 + 34.912 x 6.2 + ? = 802.293 400 450 550 600 Answer:500 What should come in place of the question mark (?) in the following equation? 9548+7314=8362+? 8230 Answer:8500 8410 8600 None of these What approximate value should come in place of the question mark (?) in the following equation? 248.251 ÷ 12.62 x 20.52 =? Answer:400 450 600 375 350 When a number is added to another number the total becomes 333.333 per cent of the second number. What is the ratio between the first and the second number? 3:7 7:4 Answer:7:3 Data inadequate None of these There are 11 members in a family out of which there are 4 males and remaining females. The family has hired three cars for a trip to zoo. The members are to be seated in the cars in such a way that there are not more than four members in one car and there is at least one male in each car. How many different ways can the members travel? 610 126 140 532 Answer:None of these 657 Ways 9:- The sum of four numbers is 64.If you add 3 to the first number, 3 is subtracted from second number, the third is multiplied by 3 and the sum is divided by 3, then all the results are equal. What is the difference between the largest and the smallest of the original numbers? Answer:32 27 21 Cannot be determined None of these The Numbers are 9,15,4,36 10. In a recent Survey 40% homes contained two or more People. Of those houses containing only one person 25% were having only a male. What is the percentage of all houses which contain exactly one female and no males? 75 40 15 Cannot be determined Answer:None of these 45 percent 11. Sumitra has an average of 56% on her first 7 examinations. How much should she make on her eighth examination to obtain an average of 60% on 8 examinations? 88% 78% 98% Answer:Cannot be determined None of these Since Total marks are not given So Can not be Determined 12. A classroom has equal number of boys and girls. Eight girls left to play Kho-kho, leaving twice as many boys as girls in the classroom. What was the total number of girls boys present initially? – Cannot be Determined 16 24 Answer:32 None of these 16 boys 16 Girls 13. An amount of money is to be distributed among P, Q and R in the ratio of 6:19:7 respectively. If R gives Rs. 200/- of his share to Q, the ratio among P, Q and R becomes 3:10:3 respectively .What was the total amount? Answer: 6,400/- Rs 12800/- Rs 3,200/- Data inadequate None of these A man in his will distributed his money in such a way that half of it is for his wife, two-thirds of the remaining equally to three of his sons and the remaining amount equally to four of his daughters. If each of the daughters receives Rs. 20,000/-, how much money will each of his sons receive? 50,333.33 Rs 48333.33 Answer:Rs 53,333.33 Data inadequate None of these Arun thinks his weight is more than 65 kg but less than 72 . His brother does not agree with him and thinks Arun’s Weight is more than 60 kg but less than 70 kg. Arun ‘s Mother thinks Arun’s weight cannot be more than 68kg. If all of them are correct in their estimation, what is the average of the probable values of Arun’s weight? 69 kg Answer:67 kg 68kg Data inadequate None of these The length and the breadth of the floor of a room is 20 ft. and 10 ft respectively. Square tiles of 2 ft. dimension having three different colours are placed on the floor. The first row of tiles on all sides is of black colour, out of the remaining one-third is of white colour and the remaining are of blue colour. How many blue Coloured tiles are there? Answer:16 32 48 24 None of these If the arithmetic mean of 6, 8, 10. x, 7 is 8.the value of x will be 7 Answer:9 10 8 none of these A train is moving with an uniform speed. It crosses a railway platform 120 metres long in 12 seconds and another platform 170 meires long in 16 seconds. The speed of the train per second is— Answer:5 m/sec 10 m/sec 22 m/sec 14 m/sec None of these 19.The median of the data 30. 25, 27, 25-8, 29, 35,38. 28 is Answer:5 5 28 29 None of these If the sum of the two radii of two circles is 7 cm and the difference of their circumference is 8 cm, the two circumferences will be— 34cm and 26cm 28cm and 20cm Answer:26 cm and 18 cm 20cm and 12cm None of these  

Top 20 maths questions for CDS aspirants 1). What is the number of integral solutions of the equations HCF (a, b) = 5 and a + b = 65 ?A). NoneB). Infinitely manyC). Less than 65D). Exactly one 2). The difference of two consecutive cubesA). is odd or evenB). is never divisible by 2C). is always evenD). None of the above 3). Let a,b be positive integers. What is HCF aHCF(a,b) bHCF(a,b) equal to?A). aB). bC). 1D). aHCF(a,b) 4). The product of four consecutive natural numbers plus one isA). anon-squareB). always sum of two square numbersC). a squareD). None of these 5). For any integers ‘a’ and ‘b’ with HCF (a,b)= 1, what is HCF (a + b, a-b) equal to?A). It is always 1B). It is always 2C). Either 1 or 2D). None of the above 6). The expression 2×3+x2-2x-1divisible byA). x+2B). 2x+1C). x-2D). 2x-1 7). A positive number, when increased by 10, equals 200 times its reciprocal. What is that number?A). 100B). 10C). 20D). 200 8). x3+6×2+11x+6 is divisibke byA). (x+1)onlyB). (x+2)onlyC). (x+3)onlyD). All the above 9). The present age, of Ravi’s father is four times Ravi’s present age. Five years back he was seven times as old as Ravi was at that time. What is the present age of Ravi’s father?A). 84 yearsB). 70 yearsC). 40 yearsD). 35 years 10). The average age of male employees in a firm is 52 years and that of female employees is 42 years. The mean age of all employees is 50 years. The percentage of male and female employees are respectivelyA). 80% and 20%B). 20% and 80%C). 50% and 50%D). 52% and 48% 11). 15 men complete a work in 16 days. If 24 men are employed, then the time required to complete that work will beA). 7 daysB). 8 daysC). 10 daysD). 12 days 12). A train takes 9 seconds to cross a pole. If the Speed of the train is 48 km/hr, the length of the train isA). 150 mB). 120 mC). 90 mD). 80 m 13). Ravi’s brother is 3 years elder to him. His father was 28 years of age when his sister was born while his mother was 26 years of age when he was born. If his sister was 4 years of age when his brother was born, the ages of Ravi’s father and mother respectively when his brother was born wereA). 32 years and 23 yearsB). 32 years and 29 yearsC). 35 years and 29 yearsD). 35 years and 33 years 14). In solving a problem, one student makes a mistake in the coefficient of the first degree term and obtains 9 and -1 for the roots. Another student makes a mistake in the constant term of the equation and obtains 8 and 2 for the roots. The correct equation wasA). x2+10x+9=0B). x2-10x+16=0C). x2-10x+9=0D). None of the above 15). If m and n are the roots of the equation ax2+bx+c =0 then the equation whose roots are (m2+1)m and (n2+1)n isA). acx2+(ab+bc)x+b2+(a−c)2=0B). acx2+(ab−bc)x+b2+(a−c)2=0C). acx2+(ab−bc)x+b2-(a−c)2=0D). acx2+(ab+bc)x+b2-(a−c)2=0 16). The value of x2−4x+11 can never be less thanA). 7B). 8C). 11D). 22 17). If (x2+1×2)=174, then what is (x3−1×3) equal to?A). 7511B). 638C). 958D). None of these 18). 3×4-2×3+3×2-2x+3 divided by (3x+2), then the remainder isA). 0B). 18527C). 18125D). 34 19). What should be added to the expressionx(x+a)(x+2a)(x+3a) so that the sum may ba a perfect square?A). 9a2B). 4a2C). a4D). None of these 20). If the roots of the equation Ax2+Bx+C =0 are -1 and 1 then which one of the following is correct?A). A andC are both zeroB). A and B are both positiveC). A and C are both negativeD). A and C are of opposite sign