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Q:

Which State's chief minister has announced five lakh rupees health-cum-life insurance scheme for farmers in the state?

A) Telangana	B) Uttar Pradesh
C) Gujarat	D) Andhra Pradesh

Answer & Explanation Answer: A) Telangana

Explanation:

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Filed Under: Indian Politics
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Q:

Sandeep got Rs. 6000 as his share out of the total profit of Rs. 9000 which he and Saketh earned at the end of one year. If Sandeep invested Rs. 20000 for 6 months, whereas Saketh invested his amount for the whole year, the amount invested by Saketh?

A) Rs. 5000	B) Rs. 6200
C) Rs. 8100	D) R. 7600

Answer & Explanation Answer: A) Rs. 5000

Explanation:

Let the amount invested by saketh = RS. p

Now, that of sandeep = 20,000 x 6

saketh = 12 x p

Ratio of their earnings = 120000 : 12p = 6000 : (9000 - 6000)

=> $\frac{120000}{12 p} = \frac{6000}{3000} = > p = Rs . 5000$

Hence, the amount investe by saketh = Rs. p = Rs. 5000.

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Filed Under: Partnership
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Q:

What is the value of a two–digit number?

A. The sum of the digits is 15.
B. The difference of the squares of the digits is 45.
C. The difference of their digits is 3.

A) B and C together are sufficient	B) Any one pair of A and B, B and C or C and A is sufficient
C) C and A together are sufficient	D) A and B together are sufficient

Answer & Explanation Answer: B) Any one pair of A and B, B and C or C and A is sufficient

Explanation:

From the given data,

Let the two gits of a number be x & y

A) x + y = 15

B) $x^{2} - y^{2} = 45$

(x+y) (x - y) = 45

C) x - y = 3

From any 2 of the given 3 statements, we can find that 2 digit number as

2x = 18 => x = 9

=> y = 6

Hence, 2 digit number is 96.

Any one pair of A and B, B and C or C and A is sufficient to find.

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Filed Under: Arithmetical Reasoning
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Q:

A tin a mixture of two liquids A and B in the proportion 4 : 1. If 45 litres of the mixture is replaced by 45 litres of liquid B, then the ratio of the two liquids becomes 2 : 5. How much of the liquid B was there in the tin? What quantity does the tin hold?

A) 58 l	B) 65 l
C) 50 l	D) 62 l

Answer & Explanation Answer: C) 50 l

Explanation:

Let the tin contain 5x litres of liquids

$\frac{(5 x - 45) x \frac{4}{5}}{(5 x - 45) x \frac{1}{5} + 45} = \frac{2}{5}$

=> 5(4x - 36) = 2(x + 36)

=> 20x - 180 = 2x + 72

=> x = 14 litres

Hence, the initial quantity of mixture = 70l

Quantity of liquid B

= $(70 - 45) x \frac{1}{5} + 45$

= 50 litres.

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Filed Under: Alligation or Mixture
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Q:

In how many different ways can the letters of the word 'HAPPYHOLI' be arranged?

A) 89,972	B) 90,720
C) 72,000	D) 81,000

Answer & Explanation Answer: B) 90,720

Explanation:

The given word HAPPYHOLI has 9 letters

These 9 letters can e arranged in 9! ways.

But here in the given word letters H & P are repeated twice each

Therefore, Number of ways these 9 letters can be arranged is

$\frac{9!}{2! x 2!} = \frac{9 x 8 x 7 x 6 x 5 x 4 x 3}{2} = 90, 720 ways .$

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Filed Under: Permutations and Combinations
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Q:

Simplify the following :

$4 \frac{1}{5} \times 3 \frac{1}{3} + ? = 20 % of 120$

A) 10	B) 24
C) 36	D) 40

Answer & Explanation Answer: A) 10

Explanation:

Given equation can be written as

$\frac{21}{5} x \frac{10}{3} + ? = 24 = > 14 + ? = 24 = > ? = 24 - 14 = > ? = 10$

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Filed Under: Simplification
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Q:

A bag contains 3 red balls, 5 yellow balls and 7 pink balls. If one ball is drawn at random from the bag, what is the probability that it is either pink or red?

A) 2/3	B) 1/8
C) 3/8	D) 3/4

Answer & Explanation Answer: A) 2/3

Explanation:

Given number of balls = 3 + 5 + 7 = 15

One ball is drawn randomly = 15C1

probability that it is either pink or red = $\frac{7 C_{1} + 3 C_{1}}{15 C_{1}} = \frac{7 + 3}{15} = \frac{10}{15} = \frac{2}{3}$

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Filed Under: Probability
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Q:

Sum of present ages of P and Q is 41. Age of P 2 year hence is equal to age of R, 1 year ago. Age of P, 4 year hence is equal to age of Q 1 year ago and ratio of present age of P and S is 3 : 4. Find the difference of age of R and S.

A) 2	B) 3
C) 4	D) 5

Answer & Explanation Answer: B) 3

Explanation:

According to the given data,

P + Q = 41 ......(1)

R - 1 = P + 2

R = P + 3

and

P + 4 = Q - 1

=> Q = P + 5 ....(2)

From (1)&(2)

P = 18

Q = 18 + 5 = 23

R = 18 + 3 = 21

=> P/S = 3/4

=> S = 4/3 x 18 = 24

Required Difference = S - R = 24 - 21 = 3.

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Filed Under: Problems on Ages
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