Q. 1 1.If you join all the vertices of a heptagon, how many quadrilaterals will you get? A. 72 B. 36 C. 25 D. 35 E. 120 Answer: D Q. 2 Four students have to be chosen 2 girls as the captain and vice-captain and 2 boys as captain and vice-captain of the school. There […]
Q. 1 Find (r-x), if 2P(5,3) = P(r,4) and P(9,5) + 5P(9,4) = P(10,x) Answer: 360 EXPLAINATION: 2P(5,3) = P(r,4) 2*5!/(5-3)! = r!/(r-4)! 2*5!/2! = r(r-1)(r-2)(r-3)(r-4)!/(r-4)! 5! = r(r-1)(r-2)(r-3) r = 5 P(9,5) + 5P(9,4) = P(10,x) 9!/(9-5)! + 5*9!/(9-4)! = 10!/(10-x)! 9!/4! + 5*9!/5! = 10!/(10-x)! 2*9!/4! = 10*9!/(10x)! 1/4! = 5/(10-x)! 5! = […]
Q. 1 From a rectangular cardboard of length 21 cm and breadth 12 cm, a square whose diagonal is of length 3*sqrt(2) cm is cut out. Find the area of the remaining cardboard. Answer: 243 sq.cm EXPLAINATION:Area of the cardboard = length*breath = 21*12 = 252 sq.cm. Diagonal of a square of side x cm […]
Q. 1 Find r when C(n,r) = 35 and P(n,r) = 840 Answer: 4 EXPLAINATION: From the given conditions, we get C(n,r) = n!/[r!(n-r)!] = 35…(1) P(n,r) = n!/(n-r)! = 840…(2) Dividing (2) by (1), we get n!/(n-r)!/n!/[r!(n-r)!] = 840/35 r! = 24 r! = 1*2*3*4 = 24 r = 4 Q. 2 If (n+1)! […]
Q. 1 A sum of money becomes 8 times itself in 15 years when placed at compound interest. In how many years will it double itself?Correct Answer: 5 years EXPLAINATION: Let P, R and T be the principle, rate and time and A be the amount. A = P(1+R/100)^T 8P=P(1+R/100)^15 8 = (1+R/100)^15 2^3 = […]
Q. 1 The denominator of a fraction is 4 less than the numerator. If the denominator is decreased by 2 and the numerator is increased by 1, then the numerator is eight times the denominator. Find the numerator of the fraction. Answer:7 EXPLAINATION: Let the fraction be x/y According to the conditions y = x […]
Q. 1 Column A Column B The sum of the squares of two sides of a square. Diagonal of the square. A. The quantity on the left is greater B. The quantity on the right is greater C. Both are equal D. The relationship cannot be determined without further information Answer: A Q. 2 Column […]
Q. 1 Column A Column B Three coins are tossed. Find the probability of obtaining an even count of either heads or tails. Three coins are tossed. Find the probability of obtaining an even count. A. The quantity on the left is greater B. The quantity on the right is greater C. Both are equal […]
Q. 1 Column A Column B A card is drawn from a well shuffled pack of cards. Find the probability of drawing a red queen. A card is drawn from a well shuffled pack of cards. Find the probability of drawing a jack or a queen or a king. A.The quantity on the left is […]
Q. 1 Column A Column B A person wants to buy 1 fountain pen, 1 ball pen and 2 pencils from a shop where there are 10 fountain pen, 12 ball pen and 5 pencil varieties. How many choices can he have? A person wants to buy 1 book, 1 note book and 2 pencils […]
