50 Top Selected Math questions for October 2021 month
Que 1: An article is listed at Rs. 920. A customer pays Rs. 742.90 for it after getting two successive discounts. If the rate of first discount is 15%, the rate of 2nd discount is:
(A) 3%
(B) 5%
(C) 8%
(D) 12%
Correct Ans: B
Que 2: What will be the result of 1397 x 1397?
(A) 1951609
(B) 1951608
(C) 1951699
(D) None of the above
Correct Ans: A
Que 3: A sum of money doubles itself in 4 years compound interest. It will amount to 8 times itself at the same rate of interest in = ?
(A) 18 years
(B) 12 years
(C) 16 years
(D) 24 years
Correct Ans: B
Que 4: A shopkeeper gains 20 percent by giving a discount of 10 percent of the marked price of a toy. If he had given a discount of 20 percent, then what would be his profit percentage?
(A) 20/3
(B) 25/3
(C) 29/3
(D) 31/3
Correct Ans: A
Que 5: Find A and B, if 2A + 3B = 21, A-B=3
(A) 9, 6
(B) 3, 6
(C) 12, 9
(D) 6, 3
Correct Ans: D
Que 6: If a : b : c = 3 : 4 : 7, then the ratio (a + b + c) : c is equal to
(A) 2 : 1
(B) 14 : 3
(C) 7 : 2
(D) 1 : 2
Correct Ans: A
Que 7: Profit on selling 10 candles equals selling price of 3 bulbs. While loss on selling 10 bulbs equal selling price of 4 candles. Also profit percentage equals to the loss percentage and cost of a candle is half of the cost of a bulb. What is the ratio of selling price of candles to the selling price of a bulb?
(A) 5 : 4
(B) 3 : 2
(C) 4 : 5
(D) 3 : 4
Correct Ans: B
Que 8: A work can be completed by P and Q in 12 days, Q and R in 15 days, R and P in 20 days. In how many days P alone can finish the work?
(A) 60 days
(B) 30 days
(C) 10 days
(D) 20 days
Correct Ans: B
Que 9: A circular plot covers an area of 154 cm². how much long wire is required for fencing the plot.
(A) 40 m
(B) 42 m
(C) 44 m
(D) 45 m
Correct Ans: C
Que 10: A profit of 105 is made after giving a discount of 5% in a T.V. If the marked price of the T.V. is रु० 2640.00, the cost price of the TV was :
(A) रु० 2280
(B) रु० 2296
(C) रु० 2380
(D) रु० 2396
Correct Ans: A
Que 11: A runner runs 5/4 laps of a 5 lap race. What fractional part of the race remains to be run?
(A) 2/3
(B) 5/6
(C) 4/5
(D) 15/4
Correct Ans: D
Que 12: A hexagonal prism has 18 edges. How many Vertices does it have ?
(A) 8
(B) 22
(C) 20
(D) 12
Correct Ans: D
Que 13: A man covers a certain distance on scooter. Had he moved 3 km/h faster, he would have taken 40 min less. If he had moved 2 km/h slower, he would have token 40 min more. The distance (in km) is
(A) 42.5
(B) 36
(C) 37.5
(D) 40
Correct Ans: D
Que 14: Simple interest on a certain sum of money for 3 years at 8% per annum is half the compound interest on Rs. 4000 for 2 years at 10% per annum. The sum placed on simple interest is:
(A) Rs. 1550
(B) Rs. 1650
(C) Rs. 2000
(D) Rs. 1750
Correct Ans: D
Que 15: The average of five numbers is 42 while the average of another eight numbers is 81 what is the combined average of all numbers together?
(A) 60.5
(B) 66
(C) 65
(D) 68.5
Correct Ans: B
Que 16: Rahim bought a Gift item for Rs. 510 after gating a Discount of 15%. He then sells it 5% above the Marked Price. The Profit earned in this deal is
(A) Rs. 150
(B) Rs. 120
(C) Rs. 100
(D) Rs. 90
Correct Ans: B
Que 17: Tanya's grandfather was 8 times older to her 16 years ago. He would be 3 times of her age 8 years from now. 8 years ago, what was the ratio of Tanya's age to that of her grandfather ?
(A) 1 : 2
(B) 1 : 5
(C) 3 : 8
(D) None of these
Correct Ans: D
Que 18: Three number are in the ratio of 3 : 4 : 5 and their L.C.M. is 2400. Their H.C.F. is:
(A) 40
(B) 80
(C) 120
(D) 200
Correct Ans: A
Que 19: By what least number, 3600 be divided to get a perfect cube?
(A) 9
(B) 50
(C) 300
(D) 450
Correct Ans: D
Que 20: Find the first term of an AP whose 8th and 12th terms are respectively 39 and 59.
(A) 5
(B) 6
(C) 4
(D) 3
Correct Ans: C
Que 21: How many prime factors does the number 666666 have?
(A) 4
(B) 5
(C) 6
(D) 7
Correct Ans: B
Que 22: An ore contains 26% copper. To get 91 kg of copper the quantity of the ore required is?
(A) 350 kg
(B) 250 kg
(C) 240 kg
(D) 450 kg
Correct Ans: A
Que 23: Find the average of the first 97 natural numbers.
(A) 47
(B) 48
(C) 37
(D) 49
Correct Ans: D
Que 24: In what ratio must a mixture of 30% alcohol strength be mixed with that of 50% alcohol strength so as to get a mixture of 45% alcohol strength?
(A) 1 : 2
(B) 1 : 3
(C) 2 : 1
(D) 3 : 1
Correct Ans: B
Que 25: The sum of three numbers is 98. If the ratio of the first to second is 2 :3 and that of the second to the third is 5 : 8, then the second number is:
(A) 20
(B) 30
(C) 48
(D) 58
Correct Ans: B
Que 26: A complete 7/10 of a work in 15 days, then he completed the remaining work with the help of B in 4 days. In how many day A and B can complete entire work together?
(A) 10.5 days
(B) 38/3 days
(C) 40/3 days
(D) 33/4 days
Correct Ans: C
Que 27: A trader allows 10% discount on market price and gains 25%. If the market price of the article is Rs 50, what is its cost price?
(A) Rs 36
(B) Rs 45
(C) Rs 25
(D) Rs 55
Correct Ans: A
Que 28: Pipe A can fill the tank in half the time in which Pipe B can fill the same tank. If both the pipes are open simultaneously .it takes 8 hour to fill the tank .In how many hours can A alone fill the tank?
(A) 12 hour
(B) 10 hour
(C) 8 hour
(D) 15 hour
Correct Ans: A
Que 29: The difference between the simple interest and the compound interest on Rs 5000 at 10% per annum for 3 yr is
(A) Rs 145
(B) Rs 165
(C) Rs 150
(D) Rs 155
Correct Ans: D
Que 30: If (64)² - (36)²= 20 * x, then what is the value of x?
(A) 120
(B) 140
(C) 112
(D) None of the above
Correct Ans: B
Que 31: A and B together can complete a piece of work in 12 days. B and C in 20 days, and C and A in 15 days. A, B and C together can complete it in
(A) 10½ days
(B) 10 days
(C) 9 days
(D) 6 days
Correct Ans: B
Que 32: Rohit has some 50 paise coins, some Rs.2 coins, some Rs.1 coins and some Rs.5 coins. The value of all the coins is Rs.50. Number of Rs.2 coins is 5 more than the Rs.5 coins. 50 paise coins are double in number than Rs.1 coin. Value of 50 paise coins and Rs.1 coins is Rs.26. How many Rs.2 coins does he have?
(A) 4
(B) 7
(C) 5
(D) None of the above
Correct Ans: B
Que 33: If the sum of two numbers is considered as 'a' and their product is considered as 'b', then what will be the sum of their reciprocals?
(A) a/b
(B) 1/b + 1/b
(C) b/a
(D) ab
Correct Ans: A
Que 34: Fourth proportional to 3, 15 and 27 will be?
(A) 27/5
(B) 135
(C) 5/3
(D) 215
Correct Ans: B
Que 35: If lines are drawn from the point (–5, 3) to the coordinate axes then area of quadrilateral formed by these lines with coordinate axes is
(A) 15/2
(B) 15
(C) 30
(D) 25/2
Correct Ans: B
Que 36: A person bought 8 kg of maize for certain rupees. After a week, he sold 3 kg of maize at 10% profit, 3 kg of maize with neither profit nor loss and 2 kg at 5% loss. In this transaction, what is the profit?
(A) 1.75%
(B) 1.5%
(C) 2%
(D) 2.5%
Correct Ans: D
Que 37: Rs. 1050 were distributed among 1500 men and women in such a way that each man got Re. 1 and each woman got 50 paise. What was the number of women?
(A) Rs. 600
(B) Rs. 750
(C) Rs. 800
(D) Rs. 900
Correct Ans: B
Que 38: Q is as much younger than R as he is older than T. If the sum of the ages of R and T is 50 years, what is definitely the difference between R and Q's age?
(A) 1 year
(B) 2 years
(C) 25 years
(D) Data inadequate
Correct Ans: D
Que 39: The sum of two numbers is 15 1/3 and their difference is 4 2/3. The product of the number is
(A) 60
(B) 50
(C) 48 (2/3)
(D) 53 (1/3)
Correct Ans: D
Que 40: The smallest number to be added to 1000, so that 45 divides the sum exactly, is :
(A) 80
(B) 35
(C) 10
(D) 20
Correct Ans: B
Que 41: What approximate value should come in place of question mark (?) in the following questions ? (Note : You are not expected to calculate the exact value.) 24.001 × 19.999 × 7.998 = ?
(A) 2349
(B) 2754
(C) 3643
(D) 3840
Correct Ans: D
Que 42: If average of given numbers 3, 5, 6, 7, 9, x is 7, then find the value of x
(A) 12
(B) 5
(C) 8
(D) 19
Correct Ans: A
Que 43: Ram sold a cow for Rs 136 and thus lost 15%. At what price he should have sold it to gain 15%?
(A) Rs 204
(B) Rs 150
(C) Rs 180
(D) Rs 184
Correct Ans: D
Que 44: If the cost price of 9 pens is equal to the selling price of 11 pens, then what is gain or loss percentage?
(A) 176/21%
(B) 200/11%
(C) 300/11%
(D) 30%
Correct Ans: B
Que 45: A clock is started at noon. By 10 minutes past 5, the hour hand has turned through
(A) 145°
(B) 150°
(C) 155°
(D) 160°
Correct Ans: C
Que 46: There is 60% increase in an amount in 6 years at simple interest. What will be the compound interest of Rs. 12,000 after 3 years at the same rate?
(A) Rs. 2160
(B) Rs. 3120
(C) Rs. 3972
(D) Rs. 6240
Correct Ans: C
Que 47: At what rate of simple interest per annum can an amount of Rs. 1553.40 be obtained on the principal amount of Rs. 8630 after 3 years?
(A) 4 p.c.p.a
(B) 5 p.c.p.a
(C) 7 p.c.p.a
(D) 6 p.c.p.a
Correct Ans: D
Que 48: An amount of Rs.1,00,000 is invested in two types of shares. The first yields an interest of 9% per annum and second yields 11% per annum. If the total interest at the end of 1 year is 9¾%, then the amount invested in each share was
(A) Rs.62,500, Rs.37,500
(B) Rs.82,500, Rs.17,500
(C) Rs.72,500, Rs.27,500
(D) Rs.52,500, Rs.47,500
Correct Ans: A
Que 49: An egg seller sells his eggs only in the packs of 3 eggs, 6 eggs, 9 eggs, 12 eggs etc., but the rate is not necessarily uniform. One day Raju (which is not the same egg seller) purchased at the rate of 3 eggs for a rupee and the next hour he purchased equal number of eggs at the rate of 6 eggs for a rupee. Next day he sold all the eggs at the rate of 9 eggs for Rs. 2. What is his percentage profit or loss?
(A) 10% loss
(B) 11.11% loss
(C) 3% loss
(D) 2.5% profit
Correct Ans: B
Que 50: The difference of a number consisting of two digits and the number formed by interchanging the digits is always divisible by.
(A) 5
(B) 7
(C) 9
(D) 11
Correct Ans: B
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