Question 1

In the following question, correct the equation by interchanging two signs. 4 – 10 x 5 + 9 ÷ 3 = 51

Accepted Answer

+ and –

Question 2

The weights of 4 boxes are 30, 70, 60 and 20 kilograms. Which of the following cannot be the total weight, in kilograms, of any combination of these boxes and in a combination a box can be used only once?

Accepted Answer

190

Question 3

In a row of 15 children, when Raju was shifted three places towards right, he became 8th from the right end. What was his earlier position from the left end of the row?

Accepted Answer

5

Question 4

In a row, there are 6 boys between A and B and A being the first boy in row. There are 3 boys between B and C. If there are 12 boys after C, then how many minimum boys are there in the row?

Accepted Answer

24

Question 5

The weights of 4 boxes are 70, 100, 20 and 40 kilograms. Which of the following cannot be the total weight, in kilograms, of any combination of these boxes?

Accepted Answer

200

Question 6

Negative plus a positive equals

Accepted Answer

We know that a negative value plus a positive value always count backward and the sign depends on the bigger value sign. When you are adding a negative number to a positive number, then the value counts backward and takes the sign of the biggest number. For example:: Adding -5 and +2 -5 + 2 = -3 (big number is 5 and its sign is '-') Adding -3 and +5 +5 + (-3) = 5 - 3 = +2(big number is 5 and it has sign '+').

Question 7

Are Alternate Exterior Angles congruent?

Accepted Answer

We know that, Alternate Exterior Angles Theorem:: The Alternate Exterior Angles Theorem states that, when two parallel lines are cut by a transversal, the resulting alternate exterior angles are congruent . Converse of the Alternate Exterior Angles Theorem :: Converse of the Alternate Exterior Angles Theorem states that, If two lines are cut by a transversal and the alternate exterior angles are congruent, then the lines are parallel.

Question 8

With similar triangles the corresponding angles are equal.

Accepted Answer

The given statement about similar triangles is TRUE. Similar Triangles Theorem :: Similar triangles are two triangles with corresponding angles of equal measure, and the ratios of their corresponding sides' lengths are equal.

Question 9

The complexity of linear search algorithm is

Accepted Answer

The worst case complexity of linear search is O(n).

Question 10

6 choose 3 =

Accepted Answer

6 choose 3 means number of possible unordered combinations when 3 items are selected from 6 available items i.e, nothing but 6C3. Now 6C3 = 6 x 5 x 4/3 x 2 x 1 = 120/6 = 20.

Question 11

The price of commodity X increases by 60 rupees every year, while the price of commodity Y increases by 20 rupees every year. If in 2002, the price of commodity X was Rs. 320 and that of Y was Rs. 740, in which year commodity X will cost 60 rupees m…

Accepted Answer

If After p years , commodity X will cost 60 rupees more than the commodity Y, then 320 + 60p = 740 + 20p + 60 => p = 12 So in year (2002 + 12 = 2014), commodity X will cost Rs.60 more than the commodity Y.

Question 12

At what time will B catch up with A, if A starts from a place at 11.00 A.M. and travels at a speed of 3.5 kmph, B starts at 1.00 P.M. and travels with speeds of 1 kmph for 1 hour, 2 kmph for the next 1 hour, 3 kmph for the next 1 hour and so on.

Accepted Answer

At 1 pm ... Distance between A and B = 2x3.5 = 7 kms at 2 pm .....Distance between A and B = 7 + 3.5 - 1 = 9.5 kms At 3 pm ....Distance between A and B = 9.5 + 3.5 - 2 = 11 kms. .. .. .. At 7 pm distance between A and B = 3 kms. From 7 pm to 8 pm, speed of A = 3.5 kmph speed of B = 8 kmph Relative speed = 4.5 kmph Time taken by B to meet A = 3/4.5 hrs = 30/45 hrs = 120/3 mins = 40 mins. So meeting time is 7 : 40 PM.

Question 13

What is the time required to punch 1500 cards of 45 column each at the rate of 9,000 punches per hour ?

Accepted Answer

Total number of cards = 1500 total columns = 45 so, total punches=1500 x 45 = 67500 for 1 hour if we make 9000 punches, we require 67500/9000 = 7.5 so 7hours:30mins.

Question 14

A kiddy bank of a child contains all Rs. 1, 50 paise and 25 paise coins. What is the total amount in the bank ? (1) Total number of coins are 20 (2) The number of 50 paise and 25 paise coins are in the ratio of 7:3.

Accepted Answer

Given that 50 paise and 25 paise coins are in the ratio of 7:3, they can be either 7 & 3 or 14 & 6. As total 20 coins also includes Rs. 1 coins, so 50 paise & 25 paise coins are 7 & 3 respectively & Rs. 1 coins are 10. Total amount = (100x10) + (50x7) + (25x3)=1425 paise or Rs.14.25.

Question 15

Multiplicative inverse of 0

Accepted Answer

In the real numbers, zero does not have a reciprocal because no real number multiplied by 0 produces 1 (the product of any number with zero is zero). Hence, 0 doesn't have any multiplicative inverse.

Question 16

How many right angles does a square have?

Accepted Answer

A square and a rectangle each have 4 right (90 deg) angles. Both square and rctangle have 4 sides and 4 angles, but the only difference is square is a rectangle with all sides equal.

Question 17

What is the value of 28 tens?

Accepted Answer

Here asked for the value of 28 tens => 28 x 10 = 280.

Question 18

9 tens 10 ones equals

Accepted Answer

9 tens 10 ones equals => 9 x 10 + 10 x 1 => 90 + 10 => 100.

Question 19

Smallest prime number greater than 200?

Accepted Answer

From the trial and error method of division, 201 is divisible by 3 205 is divisible by 5 203 is divisible by 7 Hence, after eliminating three options, remained is 211 and is divisible by only 1 and itself. Therefore, 211 is the smallest prime number greater than 200.

Question 20

What does it mean to calculate frequencies within a dataset?

Accepted Answer

Frequency is what means how many times the event occurs in the same period.

Arithmetic Reasoning Questions