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B. Number Of Attempted

C. Number Of Correct Answer

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What quantity of sugar costing Rs 6.10 per kg must be mixed with 126 kg of sugar priced at Rs. 2.85 per kg, so that 20% may be gained by selling the mixture at Rs 4.80 per kg?

A. 49 kg Wrong Right

B. 59 kg Wrong Right

C. 69 kg Wrong Right

D. 68 kg Wrong Right

Answer : 69 kg

Explanation : R1=Sugar costing Rs 2.85 per kg
R2= Sugar costing Rs 6.10 per kg
RM=Average cost of mixture
We know that the mixture is being sold at a profit of 20%
ie, cost price of mixture=(100/120)*4.80=Rs 4

RM = Rs 4 = 400 paise

R1=285 paise
R2=610 paise

N1=210
N2=115

N1/N2 = 210/115 = 42/23

If quantity of sugar at 285 paise per kg is 42 kg,
Then sugar at 610 paise per kg = 23 kg

∴ if sugar at 285 paise per kg is 126 kg,
Then sugar at 610 paise per kg=69 kg

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The diagonal of the floor of a rectangular closet is 7 ½ feet. The shorter side of the closet is 4 ½ feet. What is the area of the closet in square feet?

A. 5 ¼ Wrong Right

B. 13 ½ Wrong Right

C. 27 Wrong Right

D. 37 Wrong Right

Answer : 27

Explanation : Other side = √[(15/2)2 – (9/2)2] = √(144/4) = 6 ft
Hence, Area of the closet = (6 * 4.5) = 27 sq feet.

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A man can row upstream at 8 kmph and downstream at 13 kmph. The speed of the stream is

A. 2.5 kmph Wrong Right

B. 4.2 kmph Wrong Right

C. 5 kmph Wrong Right

D. 10.5 kmph Wrong Right

Answer : 2.5 kmph

Explanation : Speed of the stream = ½ (13 – 8) kmph = 2.5 kmph

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In a two-digit, if it is known that its unit's digit exceeds its ten's digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is

A. 24 Wrong Right

B. 26 Wrong Right

C. 42 Wrong Right

D. 46 Wrong Right

Answer : 24

Explanation : Let the ten's digit be x.
Then, unit's digit = x + 2.
Number = 10x + (x + 2) = 11x + 2.
Sum of digits = x + (x + 2) = 2x + 2.
(11x + 2)(2x + 2) = 144
22x2 + 26x - 140 = 0
11x2 + 13x - 70 = 0
(x - 2)(11x + 35) = 0
x = 2.
Hence, required number = 11x + 2 = 24.

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In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?

A. 159 Wrong Right

B. 194 Wrong Right

C. 205 Wrong Right

D. 209 Wrong Right

E. None of these Wrong Right

Answer : 209

Explanation : We may have (1 boy and 3 girls) or (2 boys and 2 girls) or (3 boys and 1 girl) or (4 boys).
Required number
of ways = (6C1 x 4C3) + (6C2 x 4C2) + (6C3 x 4C1) + (6C4)
= (6C1 x 4C1) + (6C2 x 4C2) + (6C3 x 4C1) + (6C2)
= (6 x 4) + 6 x 5 x 4 x 3 + 6 x 5 x 4 x 4 + 6 x 5
2 x 1 2 x 1 3 x 2 x 1 2 x 1

= (24 + 90 + 80 + 15)
= 209.

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In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?

A. 1/10 Wrong Right

B. 2/5 Wrong Right

C. 2/7 Wrong Right

D. 5/7 Wrong Right

Answer : 2/7

Explanation : P (getting a prize) = 10/(10 + 25) = 10/35 = 2/7

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Three numbers which are co-prime to each other are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is:

A. 75 Wrong Right

B. 81 Wrong Right

C. 85 Wrong Right

D. 89 Wrong Right

Answer : 85

Explanation : Since the numbers are co-prime, they contain only 1 as the common factor.
Also, the given two products have the middle number in common.
So, middle number = H.C.F. of 551 and 1073 = 29;
First number = 551 / 29 = 19; Third number = 1073/ 29 = 37.

Required sum = (19 + 29 + 37) = 85.

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In a race of 200 m, A can beat B by 31 m and C by 18 m. In a race of 350 m, C will beat B by:

A. 22.75 m Wrong Right

B. 25 m Wrong Right

C. 19.5 m Wrong Right

D. 7 4/7 m

Wrong Right

Answer : 25 m

Explanation : A : B = 200 : 169.
A : C = 200 : 182.
C/B = (C/A) x (A/B) = 182/200 x 200/169 = 182 : 169.

When C covers 182 m, B covers 169 m.
When C covers 350 m, B covers (169/182) x 350 m = 325 m.

Therefore, C beats B by (350 - 325) m = 25 m.

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The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio?

A. 17 : 18 Wrong Right

B. 21 : 22 Wrong Right

C. 8 : 9 Wrong Right

D. Cannot be determined Wrong Right

Answer : 21 : 22

Explanation :

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10.

A sum of Rs. 725 is lent in the beginning of a year at a certain rate of interest. After 8 months, a sum of Rs. 362.50 more is lent but at the rate twice the former. At the end of the year, Rs. 33.50 is earned as interest from both the loans. What was the original rate of interest?

A. 3.6% Wrong Right

B. 4.5% Wrong Right

C. 5% Wrong Right

D. 6% Wrong Right

E. None of these Wrong Right

Answer : None of these

Explanation :

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11.

A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 27 times, A has killed:

A. 30 birds Wrong Right

B. 60 birds Wrong Right

C. 72 birds Wrong Right

D. 90 birds Wrong Right

Answer : 30 birds

Explanation :

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12.

Rs. 9800 are invested partly in 9% stock at 75 and 10% stock at 80 to have equal amount of incomes. The investment in 9% stock is:

A. Rs. 4800 Wrong Right

B. Rs. 5000 Wrong Right

"/> C. Rs. 5400 Wrong Right

D. Rs. 5600 Wrong Right

Answer : Rs. 5000

Explanation :

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13.

A. 0 Wrong Right

B. 2 Wrong Right

C. 4 Wrong Right

D. 6 Wrong Right

Answer : 4

Explanation :

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14.

A man travels from A to B at a speed of 30 kmph and returns with a speed of 60 kmph. What is the average speed of the man?

A. 47.5 Wrong Right

B. 50 Wrong Right

C. 45 Wrong Right

D. 40 Wrong Right

Answer : 40

Explanation : The average speed ‘v’, when a man travels two same distance with different speeds ‘v1’ and ‘v2’ is:
v = (2*v1*v2) / (v1 + v2)
In the above problem, v1 = 30 and v2 = 60
Therefore, v = (2*30*60)/(30 + 60) = 3600/90
v = 40

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15.

A man wants to sell his scooter. There are two offers, one at Rs. 12,000 cash and the other a credit of Rs. 12,880 to be paid after 8 months, money being at 18% per annum. Approximately, which is the better offer?

A. Rs. 12,000 in cash Wrong Right

B. Rs 12,880 at credit Wrong Right

C. Both are equally good Wrong Right

D. Cannot be determined Wrong Right

Answer : Rs. 12,000 in cash

Explanation :

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