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SSC CGL Mains Math Practice set 3

Exam NameSSC CGL Mains Math Practice set 3
Question: Three numbers are in the ratio 1 : 2 : 3 and their HCF is 12. The numbers are :

Answer:12, 24, 36

Question: If 1+Cos²θ = 3 SinθCosθ, then the integral value of Cotθ is (0<θ<θ /2)


Question: Three numbers are such that the average of first two numbers is 2, the average of the last two numbers is 3 and the average of the first and the last numbers is 4, then the average of three numbers is equal to :


Question: If 0°<θ<90° and 2 sin²θ+3cosθ=3, then the value of θ is :


Question: 3 yr. ago the average age of a family of 5 members was 17 yr. A baby having been born, the average age f the family is the same today. The present age of the baby is:

Answer:2 yr.

Question: If (x /xa+yb+zc) = (y /ya+zb+xc) = (z / za+xb+yc) and x + y + z ≠ o, then each ratio is :

Answer:1 / a+ b+ c

Question: A pump can fill a tank with water in 2 hours.Because of a leak in the tank, it takes 2[1/3] hours to fill the tank, The leak can empty the filled tank in

Answer:14 hours

Question: The average marks obtained by a student in 6 subjects is 88. On subsequent verification it was found that the marks obtained by him in a subject was wrongly copied as 86 instead of 68. The correct average of the marks obtained by his is-


Question: The average marks secured by 36 students was 52. But it was discovered that an item 64 was misread as 64. What is the correct mean of marks ?


Question: A tank has a leak which would empty the completely filled tank in 10 hours. If the tank is lull of water and a tap is opened which admits 4 litres of water per minute in the tank, the leak takes 15 hours to empty the tank. How many li-tres of water does the tank hold ?


Question: Three pipes P, Q and R can separately fill a cistern in 4,8 and 12 hours respectively. Another pipe S can empty the completely filled cistern in 10 hours. Which of the following arrangements will fill the empty cistern in -less time than others ?

Answer:P. Q and S are open.

Question: The least number that should be added to 2055, so that the sum is exactly divisible by 27.


Question: If 2+x√3=1/2+√3 then the simplest value of x is


Question: If sec θ + cosec (90°-θ)=4, (0<θ<90°), then the value of tan θ is :


Question: 200 arcs of a mixture contains milk and water in the ratio 17 : 3. After the addition of some more milk to it, the ratio of milk to water in the resulting rnixiture becomes 7 : 1. The quantity of milk added to it was

Answer:(2) 40 litres

Question: Two pipes A and B can fill a water tank in 20 and N 24 minutes respectively and a third pipe C can empty at the rate of 3 gallons per minute. If A, B and C opened together fill the tank in 15 minutes, the capacity in gallons) of the tank is


Question: For real a, b, c if a²+b²+c²=ab+bc+ca, the value of a+c/b is:


Question: The HCF and LCM of two numbers are 44 and 464 respectively. If the first number is divided by 2, the quotient is 44. The other number is :


Question: In what ratio must a mixture of 30% alcohol strength B mixed with that of 50% alcohol strength so as to get a mixture of 45 % alcohol strength?


Question: The minimum value of cos²θ + Sec²θ is :