Q: The ratio of two numbers is 3 : 4 and their H.C.F is 4. Their L.C.M is
Solution: Let the numbers be 3x and 4x. Then their H.C.F = x. So, x=4 Therefore, The numbers are 12 and 16 L.C.M of 12 and 16 = 48 The correct answer is: D) 48
Q: A bag contains 6 black and 8 white balls. One ball is drawn at random. What is the probability that the ball drawn is white? A bag contains 6 black and 8 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
Solution: Let number of balls = (6 + 8) = 14. number of white balls = 8. P (drawing a white ball) = 8 /14 = 4/7. The correct answer is: B) 4/7
Q: What is the rate of interest p.c.p.a.? I. An amount doubles itself in 5 years on simple interest. II. Difference between the compound interest and the simple interest earned on a certain amount in 2 years is Rs. 400. III. Simple interest earned per annum is Rs. 2000
Solution: I.P*R*5100=P⇔R=20 II.P1+R1002-P-P*R*2100=400=>pR2=4000000 III.P*R*1100=2000=>PR=200000 PR2PR=4000000200000⇔R=20 Thus I only or (II and III) give an answer. The correct answer is: D
Q: On what dates of April, 2001 did Wednesday fall?
Solution: We shall find the day on 1st April, 2001. 1st April, 2001 = (2000 years + Period from 1.1.2001 to 1.4.2001) Odd days in 1600 years = 0 Odd days in 400 years = 0 Jan. Feb. March April (31 + 28 + 31 + 1) = 91 days 0 odd days. Total number of odd days = (0 + 0 + 0) = 0 On 1st April, 2001 it was Sunday. In April, 2001 Wednesday falls on 4th, 11th, 18th and 25th. The correct answer is: B) 4th,11th,18th,25th
Q: How many days are there in x weeks x days?
Solution: x weeks x days = (7x + x) days = 8x days. The correct answer is: B) 8x
Q: A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is:
Solution: S.I. for 1 year = Rs. (854 - 815) = Rs. 39. S.I. for 3 years = Rs.(39 x 3) = Rs. 117. Principal = Rs. (815 - 117) = Rs. 698 The correct answer is: C) 698
Q: Seats for Mathematics, Physics and Biology in a school are in the ratio 5:7:8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats ?
Solution: Originally, let the number of seats for Mathematics, Physics, and Biology be 5x, 7x, and 8x respectively. Number of increased seats are (140% of 5x), (150% of 7x) and (175% of 8x). ⇒ [(140/100) × 5x],[(150/100) × 7x] and [(175/100) × 8x] ⇒ 7x, 21x/2 and 14x. ⇒ The required ratio =7x : 21x/2 : 14x ⇒ 14x : 21x : 28x ⇒ 2 : 3 : 4 The correct answer is: B) 2:3:4
Q: A bag contains 6 white and 4 black balls .2 balls are drawn at random. Find the probability that they are of same colour.
Solution: Let S be the sample space Then n(S) = no of ways of drawing 2 balls out of (6+4) =10C2 10 =10*92*1 =45 Let E = event of getting both balls of same colour Then,n(E) = no of ways (2 balls out of six) or (2 balls out of 4) =6C2+4C2 = 6*52*1+4*32*1= 15+6 = 21 Therefore, P(E) = n(E)/n(S) = 21/45 = 7/15 The correct answer is: B) 7/15
Q: If books bought at prices ranging from Rs. 200 to Rs. 350 are sold at prices ranging from Rs. 300 to Rs. 425, what is the greatest possible profit that might be made in selling eight books ?
Solution: Least Cost Price = Rs. (200 * 8) = Rs. 1600. Greatest Selling Price = Rs. (425 * 8) = Rs. 3400. Required profit = Rs. (3400 - 1600) = Rs. 1800. The correct answer is: C) 1800
Q: Find the compound interest on Rs. 10,000 in 2 years at 4% per annum, the interest being compounded half-yearly.
Solution: Principal = Rs. 10000; Rate = 2% per half-year; Time = 2 years = 4 half-years. Amount == Rs. 10824.32. Rs.10000*1+21004=Rs.10000*5150*5150*5150*5150 C.I. = Rs. (10824.32 - 10000) = Rs. 824.32. The correct answer is: 824.32
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